The scientific meaning of chaos can be summed up in the following. Details. Chaos theory in the social science of education was adapted from chaos theory in physics and mathematics (Harshbarger, 2007). [Google Scholar] Woo MA, Stevenson WG, Moser DK, Middlekauff HR. The character was inspired in part by American historian of science James Gleick and French mathematician Ivar Ekeland. and Neoclassical Theory are analyzed. Peak, D. 2. Individual molecules of air all conform to basic laws of physics, but global weather patterns are anything but simple. Designed by Jonas T. As infinitely complex objects that are self-similar across all scales, they represent dynamical systems in all their glory. The concept is extended to the time series analysis, and the time series in. Studies by many economists and physicists have shown that the financial system is an open, complex. 6. So she said “As chair, I give you permission to take your shirt off in class. When autocomplete results are available use up and down arrows to review and enter to select. A classic example of this is. Yet, usually they are very simple processes that produce complicated results. Also available at Amazon and Kobo. The name "chaos theory" leads the reader to believe that mathematicians have discovered some new and definitive knowledge about utterly random and incomprehensible phenomena; however,. A 32-segment quadric fractal scaled and viewed through boxes of different sizes. thdonghoadian. from $21. In 1989 his interests turned to nonlinear dynamics, chaos, fractals, and complexity. However, the. Veja mais ideias sobre fractais, proporção áurea, quantica. Jun 17, 2013 - Explore Rhiannon Noon's board "Time Ideas" on Pinterest. This is an example of trending behavior. vn compilation. The Golden Mean. Fractals. This is definitely a tattoo idea for. The archetype of all theories of dynamics is that of Newton, concerning celestial motions. Chaos Theory. A work of popular science in the tradition of Stephen Hawking and Carl Sagan, this 20th-anniversary edition of James Gleick’s groundbreaking bestseller Chaos introduces a whole new readership to chaos theory, one of the most significant waves of scientific knowledge in our time. JAMA. Touch device users, explore by touch or with swipe gestures. 1990; 120:1419–1440. A double pendulum is a system so simple that a fifth-grader could make it. In recent decades, nonlinear dynamics ("chaos theory") and fractal geometry have provided powerful new tools to analyze physiological systems. von Schilling, in International Encyclopedia of Human Geography, 2009 Chaos Theory. 2. 5, p. Software Projects. [1] They were introduced in 1981. Kulkarni. chaos is associated with complex, "random" behavior and forms of unpredictability. K. Line Images. Fascinating rhythm: a primer on chaos theory and its application to cardiology. 6 déc. Glitch eye fractal tattoos. His research has been primarily in the area of experimental plasma physics and controlled nuclear fusion. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. L. Chaotic systems are always deterministic and may be very simple, yet they produce completely unpredictable and divergent behavior. Weitere Ideen zu fraktale, fraktal, fraktale geometrie. Alongside fractals, chaos theory ranks as an essentially universal influence on patterns in nature. Paola Alvarado. Math Geometry. Fractal variability versus pathologic. It is found that the spatial distribution of events has a fractal clustering. The double-scroll system is often described by a system of. 269. Based on current chaos theory and using fractals - objects whose disparate parts are self-similar and which thrive on market roughness and asymmetry - the book provides a valuable new framework for accurately understanding and precisely modeling the turbulence, discontinuity, and nonperiodicity that truly characterize today's capital markets. Introduction to Chaos, Fractals and Dynamical Systems - Dec 08 2020 This book offers a fun and enriching introduction to chaos theory, fractals andFractal tattoo. , Byrne D. Amazing Art. In the last example, we show how to calculate the FD of a 3D volume representing the brain white matter. For example, unlike the behavior of a pendulum, which adheres to a predictable pattern a. Fascinating rhythm: a primer on chaos theory and its application to cardiology. In 1976, he explains, he began using a computer to map out. In the references to chaos theory and fractals to be addressed in this section, the actual mathematical content of these disciplines, i. See more ideas about fractal tattoo, chaos theory, attractors. Analysis of heart rate (HR) variability has become an important widely used method for assessingcardiac autonomic regulation. Phys. In this paper, the newly developed Fractal-Fractional derivative with power law kernel is used to analyse the dynamics of chaotic system based on a circuit design. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51. It is true, the whole world IS in chaos right now. Abstract. It looks at certain systems that are very sensitive. The output of healthy systems, under certain parameter conditions, reveals a type of complex variability associated with long-range (fractal) correlations, along with distinct classes of nonlinear interactions; 2. 16, Issue. 347:1312–14,1996. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Mathematical models and definitions associated with chaos are reviewed. [1] [2] [3]Chaos theory is a mathematical field of study which states that non-linear dynamical systems that are seemingly random are actually deterministic from much simpler equations. Mar 27, 2012 - Explore Linda Johnson's board "Mandelbrot and Fibonacci" on Pinterest. Nonlinear means that due toChaos Theory is, in effect, the science of surprises, the nonlinear, and the unpredictable. Indeed, in his theory, the analyst disputes the truth. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. J. While this intriguing tattoo may look like a cross-section of some biological thingummy, it’s actually a visual map of a mathematical formula’s performance. The debate can hardly be settled if one does not go beyond the standard theories of chaos and random fractals, since the. Systems of. Despite extensive studies on HRV using chaos theory, 1–10 fractal scaling analysis, 11–15 and many other methods in the last two decades, the issue of whether HRV is chaotic or stochastic remains highly controversial. 5. However, chaos is not a random motion. Supplementary. I first heard of the Lyapunov exponent in terms of chaos theory and have noticed it a few times since then in recipes for specific neural nets and discussions of entropy. 5 CONCLUSION. Discover Pinterest’s 10 best ideas and inspiration for Chaos theory. The author has been investigating these issues in V. Until now, deterministic chaos and nonlinear analysis have not been a focal point in this area of research. Linear and Nonlinear Dynamics and Vibrations Laboratory at the University of Illinois Diarsipkan 2005-12-15 di Wayback Machine On the basis of nonlinear theory, chaos theory is “a kind of science concerning process and evolution, rather than state and existence (p. Deterministic chaos paints a mathematically different. ”. , the dynamical properties of chaotic systems or the geometric properties of fractals have a direct impact on the course of events in a work of fiction. Fractals can look very complicated. Expand. Goldberger A. Numerous attempts exist to apply chaotic signals for communications. 3. Furthermore, chaos theory has a dual character. Feb 12, 2019 - Explore Jim Lonnevik's board "Chaos Theory", followed by 1,305 people on Pinterest. Initially, it explains complexity economics, as the economic discourse of Chaos Theory. Abstract. Sacred Geometry. 1. ”. Chaos Theory. If you rolled a 1 or 2, then draw a new point (x0,y0) ( x 0, y 0) whose distance is half way between the points (x,y) ( x, y) and (1,2) ( 1, 2). The problem is modelled in terms. The limit cycle of an ideal pendulum is not an example of a limit cycle attractor because its orbits are not isolated: in the phase space of the ideal pendulum, near any. While most traditional science deals with supposedly predictable phenomena. The big news about chaos is supposed to be that the smallest of changes in a system can result in very large differences in that system’s behavior. • For any and , the take on only values, so that is a full binary space. Thus, the "chaos" that Pollock denied was not only present but was apparently evidence of a underlying structure and order that Chaos Theory could. See more ideas about fractal tattoo, chaos theory, attractors. evolution and order. But what Mitchell noticed is that the positions of the period doublings again form a geometric sequence, with the exact same base: δ ≃ 4. This means that a part of the fractal is identical to the entire fractal itself except smaller. Top 130+ fractal art tattoo latest. edu. Chapters. By vova. The mathematical beauty of fractals lies at. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Chaos is the science of surprises, of the nonlinear and the unpredictable. Click here to start using LastPass: Forms: Chaos invalidates the reductionist view which argues that a complex system can be observed by reducing in to simpler building blocks. ; many of the systems in which we live exhibit. And fear is rampant, anger and. Chaos and fractals etc. Jun 7, 2019 - Explore JG's board "Chaos Theory" on Pinterest. Fractal Geometry. Mitchell Jay Feigenbaum / ˈfaɪɡənˌbaʊm / (December 19, 1944 – June 30, 2019) was an American mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constants . Fractals, Fractal art, Fractal design. This led Lorenz to realize that long-term weather forecasting was doomed. Star Trek Tattoo. Hexagonal fractal tattoo designs on sleeve. Heighway dragon curve. The origins of this. 9. Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of complex, chaotic systems, there are underlying patterns, interconnectedness, constant. Sep 30, 2021 - Explore Rticulated's board "Fractal tattoo" on Pinterest. Visualizza altre idee su frattali, arte frattale, immagini. Chaos Theory. What appears to be the broadest framework for the exactly computable moment theory of p-balanced measures — that of linear i. In the equation y kx(1 x), take k 3 and a starting value of x 0. The Buddhabrot is the probability distribution over the trajectories of points that escape the Mandelbrot fractal. Straussfogel, C. He referred to himself as a "fractalist" and is recognized. where n, W, and (lambda_{ ext{U}}) represents index number, weighting matrix, and square diagonal matrix respectively. 13. These 3 tools are: The strange […] Pinterest. J Am Coll Cardiol. The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in. Chaos also refers to the question of whether or not it is possible to make good long-term predictions about how a system will act. 8. There is a fundamental connection between chaos theory and fractal geometry. In 1883 Georg Cantor, who attended lectures by Weierstrass during his time as a student at the University of Berlin [9] and who is to set theory what Mandelbrot is to fractal geometry, [3] introduced a new function, ψ , for which ψ' = 0 except on the set of points, {z} {z}. An illustration of M4, the sponge after four iterations of the construction process. The key point is detection and processing of super weak signals against the background of non-Gaussian intensive noises and strays. Vintage Poster Art. This book provides an elementary introduction to chaos and fractals. Mid-sized branches of a tree are remarkably similar in shape. Fractal Art. In the Wikipedia page for Chaos Game, you can see this fractal, which is the result of the rule: A point inside a square repeatedly jumps half of the distance towards a randomly chosen vertex, but the currently chosen vertex cannot be 1 or 3 places, respectively away from the two previously chosen vertices. Chaos theory. Research on Chaos Theory in Economics In a chaotic economic system, the system is the result of many interacting individuals constantly adjusting their relationships under unstable conditions, rather than the result of market stability and equilibrium of supply and demand. 33, 192–209), whereas the. J. According to Vepstas (1997) "Pickover hit. What is Chaos Theory? Chaos is the science of surprises, of the nonlinear and the unpredictable. There are also images related to simple tattoo, tattoo for girls, fibonacci fractal tattoo, chaos theory fractal tattoo, negative space fractal tattoo, simple fractal tattoo, minimalist fractal tattoo, sacred geometry fractal tattoo, geometric fractal tattoo, small. Ruin. The Mandelbrot set is an example of a fractal in mathematics. A review of studies on chaos theory suggests that some elements of the theory (systems, fractals, initial effects, and bifurcations) may be applied to classroom learning. Structures are crumbling, our sense of reality is shifting, there is much to shake our heads at, to look at in disbelief, to be in fear about. Edward Lorenz defines chose theory as follows. Medical Wallpaper. Gazi University. It has been revealed that highly variable data from physiological, pharmacokinetic, and pharmacodynamic studies, in contrast to errors in measurement, have their origins in nonlinear dynamical systems that can be described by chaos theory. One-dimensional fractals (such as a segmented line) typically rank between 0. See more ideas about chaos theory, chaos, chaos tattoo. The book is also structured in two parts entitled: Fractals and Chaos. 8 Chaos and Fractals C5 A Chaos In problems 1–4, follow the procedure of Example 1 to find the possible attractors. These time series consist of Radon concentration levels and meteorological variables of temperature, pressure, and relative humidity within the boundary layer and very close to the ground. com. Retro Poster. In Crichton's 1990 novel Jurassic Park. This chapter introduces two vital contemporary finance engineering theories: chaos and fractals. 2021 - The gifts of chaos Chaos theories offer us 3 totally new and innovative tools. Nonlinear modeling still has not been able to explain all of the complexity present in human systems, and further models still need to be refined and developed. Wikimedia Foundation. Download/cite the paper here!. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula. (Adapted from Goldberger AL. Get inspired and try out new things. And not one part of life seems to be escaping this vast seachange. On the surface, chaos theory sounds like something completely unpredictable, but fractal geometry is about finding the order in what initially appears to be chaotic. While there is considerable treatment of theChaos Theory. Today. The figure above is today's fractal. The chaos theory is a revolutionary approach to understanding and forecasting the behavior of financial markets. The current status of applications of nonlinear dynamics and chaos for weather prediction is given in Sec. Let be a polynomial and denote its iterate by . Almost everyone remembers how "Jurassic Park" treated chaos, with self-proclaimed chaotician Ian Malcolm letting. Marion. Contributed by: Rob Morris and Rickey Bowers Jr. vn September 16, 2023. See more ideas about fractals, fractal art, fibonacci. Chaos is the mathematical theory of dynamical systems that are highly sensitive to initial conditions – a response popularly referred to as the “butterfly effect”. Tree. Chaos research arose from the discovery of the famous Lorenz attractor in [], and has gradually matured after intensive and extensive investigation in the past few decades. His simple model exhibits the phenomenon known as "sensitive dependence on initial conditions. Fractal theory. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life". 2017 - Entdecke die Pinnwand „Mandelbrot“ von David Voge. 1994). It’s brilliant, not only in its formation, but in its meaning. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. . Chaos in nature is a fascinating study. Chaos theory is a part of mathematics. For example, L-systems form convincing models of different patterns of tree growth. A "tribute to mathematics" depicting 3D representations of some of the most famous strange attractors. Did you know that Chaos Theory and Fractals are different but related things, and both are highly relevant to financial and stock market analysis? Even YouTu. Apr 8, 2020 - Explore Ignota's board "chaos theory. Chaos theory and fractal geometry have begun to appear as an important issue in secondary school mathematics. It tends to be the governing order in systems that are sensitive to small factors and perturbations, and single systems may. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions. Chaos theory is the study of non-linear systems that are impossible to predict or control. Top more than 140 fractal tattoo. [1] [2] The fractal is created by iteratively creating a sequence of points, starting with the initial random point, in which each point in the sequence is a given fraction of the distance. Chaos theory, the third new science, embraces irregularity as a norm. Chaos theory is the qualitative study of unstable periods in deterministic nonlinear. Category II. I would like to work in a couple dates, so to speak, into the formula for the fractal to commemorate some important life events. Causes: a soccer player performs poorly. The archetype of all theories of dynamics is that of Newton, concerning celestial motions. So of course, chaos theory started a race among scientists to understand what happens when a system moves from a point of stability to a mess of infinite instability. Wells’s The Island of Dr. Goldberger AL. 001, 1. 8 Chaos and Fractals C5 A Chaos In problems 1–4, follow the procedure of Example 1 to find the possible attractors. 26, neither one dimensional nor two (Brigs 70). Julie Belaval. Systems of. 144 (4), 2005)The coastline paradox is the counterintuitive observation that the coastline of a landmass does not have a well-defined length. John Wiley & Sons Inc. Analysis of HR dynamics by methods based on nonlinear systems theory has opened a novel approach forstudying the abnormalities in. For example: Initial Condition: uncomfortable pillow. See more ideas about chaos theory, chaos, fractal geometry. 2015-03-25. A classic example of this is the weather. Chaos theory presents the 1st Transdisciplinary understanding of bifurcation and transformational change. According to chaos-complexity theory, this is the best scenario for an organisation or policy system because there is a higher degree of “creativity and innovativeness” hence the term “thriving on the edge of chaos” (Praught 2004). • Chaos Theory represents a big jump from the way we have thought in the past – a paradigm shift. It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via simple iterated functions. Menger sponge. MAT1845HS: Introduction to Fractal Geometry and Chaos Theory. Sierpiński triangle Generated using a random algorithm Sierpiński triangle in logic: The first 16 conjunctions of lexicographically ordered arguments. This means that to appreciate the self similarity of these fractal objects, they have to be rescaled using an anisotropic affine transformation. Hexagonal fractal tattoo designs on sleeve. Apr 12, 2018 - Explore DesignedByEddie's board "Cool Fractals", followed by 360 people on Pinterest. Also, such objects are self-similar in nature; thus, their shape is independent of the scale and remains the same under dilatation or contraction. G. Chaos (n): the inherent unpredictability in the behaviour of a complex natural system. Chaos Theory and the Logistic Map. Chaos Theory. ”. Feb 3, 2021 - Explore AYA AYITA ARƎЯA's board "CHAOS THEORY" on Pinterest. Find and save ideas about chaos theory on Pinterest. Today, fractals form part of the visual identity of chaos. The fractional-order chaotic system generated is proven to have better chaotic performance using Lyapunov exponential differential calculus, approximate. Chaotic systems are always deterministic and may be very simple, yet they produce completely unpredictable and divergent behavior. Bill William’s Chaos Theory Fractals Bill Williams says that it is better not to take trades before the first fractal is triggered. Edition Number 1. 1990; 120:1419–1440. Irrational Numbers. Chaos theory is a mathematical theory, and it is still in development. Pethkar and M. Lancet 1996; 347 :1312-1314. Opportunities may be endless but yet to be fulfilled. So of course, chaos theory started a race among scientists to understand what happens when a system moves from a point of stability to a mess of infinite instability. In this paper, a novel metaheuristic algorithm called Chaos Game Optimization (CGO) is developed for solving optimization problems. like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are. Jun 25, 2019 - Explore nezar BİLEN's board "Chaos theory" on Pinterest. Chaos theory was developed by inputs of various mathematicians and scientists; its applications are found in a large number of scientific fields. Jun 25, 2019 - Explore nezar BİLEN's board "Chaos theory" on Pinterest. Also, such objects are self-similar in nature; thus, their shape is independent of the scale and remains the same under dilatation or contraction. This results from the fractal curve–like properties of coastlines; i. Shop affordable wall art to hang in dorms, bedrooms, offices, or anywhere blank walls aren't welcome. Many physiological systems appear to present data that is random or without order. Fractal geometry and chaos theory are two branches of mathematics that deal with complex and dynamic systems, such as natural phenomena, human behavior, and financial markets. Chaos theory explains that within the visible. Fractals and Chaos theory is a branch of mathematics, where chaos theory is focusing on the study of chaos—states of dynamical systems whose. Results of application of theory of fractal and chaos, scaling effects and fractional operators in the fundamental issues of the radio location and radio physic are presented. Fractal Patterns. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations. If further research supports this hypothesis, measures of complexity based on chaos theory and the related geometric concept of fractals may provide new ways to monitor senescence and test the. Chapter Three: Complexity, chaos, and fractal geometry 62 plus a series of life sciences and computer sciences started to grow, and by late 1970s, the trickle become a flood, yielding a new consistent paradigm. Fractal tattoo with repeating geometric patterns in colour. 4. Although the "paradox of length" was previously noted by Hugo Steinhaus, the first systematic study of. vn compilation. ISBN: 978-981-12-7326-1 (ebook) USD 30. The main MATLAB function that we use for this process is Boxcount. The Lorenz Oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. Lancet (1996) B. A 4K UHD 3D Mandelbulb video A ray-traced image of the 3D Mandelbulb for the iteration v ↦ v 8 + c. Background: Dynamic analysis techniques may quantify abnormalities in heart rate variability (HRV) based on nonlinear and fractal analysis (chaos theory). Causes: a soccer team loses the world cup. No comments yet! Add one to start the conversation. Many natural objects exhibit fractal properties, including landscapes, clouds, trees, organs, rivers, etc. Visualizza altre idee su hedgewitch, stregoneria, dark fantasy art. Lancet. If you rolled a 1 or 2, then draw a new point (x0,y0) ( x 0, y 0) whose distance is half way between the points (x,y) ( x, y) and (1,2) ( 1, 2). While most traditional science deals with supposedly predictable phenomena like gravity, electricity, or chemical reactions, Chaos Theory deals with nonlinear things that are effectively impossible to predict or. (Brigs 65). Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media. See more ideas about chaos theory, chaos, fractals. When the return of a stock at time t depends in some way on the return at the previous time t-1, the returns are said to be autocorrelated. Every time the Fractal Indicator reaches the 1. 29 followers. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Update images of fractal art tattoo by website es. What are chaos and fractals? When large iterations of complex computations were first enabled by computers, strange phenomena were revealed 1,2, such as contradicting results from weather models despite increased computational precision. Fractal Tattoo. The limit of the process produced is the fractal. Parametric Design. Watch. Source: UnsplashChaos Theory. This study evaluates the changes in heart rate variability for 13 signals ECG signals taken from the MIT-BIH arrhythmia database to detect some major heart disease (APC, PVC, RBB, LBB) with fractal dimension. Part of the important works that influenced Chaos. “ Distinguishing the signal from the noise requires both scientific knowledge and self-knowledge: the serenity to accept the things we cannot predict, the courage to predict the things we. The main concept of the CGO algorithm is based on some principles of chaos theory in which the configuration of fractals by chaos game concept and the fractals self-similarity issues are in. Heart failure and ischemic heart disease are associated with a loss of long-range fractal-like correlations in HR, and this loss of complexity is associated with. Crossref Medline Google ScholarThe drawing corner includes four pages covered in blue-ink sketches by Otto Rössler, a German biochemist who works on chaos theory. It is also called the. Indeed, the world of mathematics and science has, untilChaos is the science of surprises, of the nonlinear and the unpredictable. Veja mais ideias sobre fractais, proporção áurea, geometria. 1992; 267:1806–1809. Causes: a soccer player performs poorly. The opposite configuration would be a sell fractal. . edu. Les cadeaux du chaos Les théories du chaos nous offrent 3 outils totalement nouveaux et. Lorenzian chaos, "sandwich" chaos, and "horseshoe chaos. Fig. A fractal dimension is an index for characterizing. Nonlinear analysis and phenomena cover very broad fields of mathematics and science which are rapidly ex- panding. IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and. This comes from the discrete-time dynamical system. 1. Chaos theory. 1 (Sprott 1993c). I would like to work in a couple dates, so to speak, into the formula for the fractal to commemorate some important life events. eBook ISBN 978-3-319-29701-9 Published: 29 April 2016. See more ideas about fractal geometry, fractal art, sacred geometry. Download/cite the article here and try pynamical yourself. Engineers have focused on the linear aspects of engineering and largely ignored the inter-esting nonlinear world. Introduction Chaos theory is a branch of mathematics that deals with nonlinear dynamical systems. Continuing the Post-Modern perceptions of cosmos, chaos theory, fractals… have arrived on the scene. Complex heart rate variability and serum norepinephrine levels in patients with advanced heart failure. The study of fractal geometry and chaos theory are two examples of new fields in mathematics that have been popularized in the past 30 years, in large part due to the availability of high-speed computers. After that, it proceeds to introduce Chaos Theory and the Science of Fractals in financial paradigms. IFS fractals are more related to set theory than fractal geometry. In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) [1] [2] [3] is a fractal curve. See more ideas about tattoos, tattoo designs, tribal lion. Transactions of the Institute of Measurement and Control, Vol. are also tangentially related to computational complexity, so I wonder if complexity could be used to identify chaotic structures, or vice-versa. 4.