Chaos theory
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 A conus textile shell, similar in appearance to Rule 30, a cellular automaton with chaotic behaviour. |
Chaos theory is a field of study in mathematics, with applications in several disciplines including physics, engineering, economics, biology, and philosophy. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible in general. This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos.
- Related: Arnold's cat map, Bouncing ball dynamics, Cliodynamics, Coupled map lattice, Chua's circuit, Double pendulum, Dynamical billiards, Economic bubble, Hénon map, Horseshoe map, Logistic map, Rössler attractor, Standard map, Swinging Atwood's machine, Tilt A Whirl, Anosov diffeomorphism, Bifurcation theory, Chaotic mixing, Chaotic scattering, Complexity, Control of chaos, Edge of chaos, Fractal, Julia set, Mandelbrot set, Patterns in nature, Predictability, Quantum chaos, Santa Fe Institute, Synchronization of chaos, Unintended consequence, Emergence, Ralph Abraham, Leon O. Chua, Ivar Ekeland, Doyne Farmer, Mitchell Feigenbaum, Martin Gutzwiller, Brosl Hasslacher, Michel Hénon, Edward Lorenz, Aleksandr Lyapunov, Benoît Mandelbrot, Norman Packard, Henri Poincaré, Otto Rössler, David Ruelle, Floris Takens, James A. Yorke
| Nonlinear Dynamics Research Group Nonlinear Dynamics Research Group lagrange.physics.drexel.edu - Web |
| The Chaos group at the University of Maryland The Chaos group at the University of Maryland www.chaos.umd.edu - Web |
| The Chaos Hypertextbook The Chaos Hypertextbook hypertextbook.com/chaos/ - Web |
Gallery for «Chaos theory»
Average relevance
| ChaosBook.org ChaosBook.org chaosbook.org - Web |
| Society for Chaos Theory in Psychology & Life Scie... Society for Chaos Theory in Psychology & Life Sciences www.societyforchaostheory.org - Web |
| Nonlinear Dynamics Research Group at CSDC Nonlinear Dynamics Research Group at CSDC www.csdc.unifi.it/mdswitch.html?newlang=eng - Web |
| Interactive live chaotic pendulum experiment Interactive live chaotic pendulum experiment physics.mercer.edu/pendulum/ - Web |
| Nonlinear dynamics: how science comprehends chaos Nonlinear dynamics: how science comprehends chaos www.creatingtechnology.org/papers/chaos.htm - Web |
| Nonlinear Dynamics Nonlinear Dynamics www.egwald.ca/nonlineardynamics/index.php - Web |
| Gleick's Chaos (excerpt) Gleick's Chaos (excerpt) www.around.com/chaos.html - Web |
| Systems Analysis, Modelling and Prediction Group Systems Analysis, Modelling and Prediction Group www.eng.ox.ac.uk/samp - Web |
Low relevance
| A page about the Mackey-Glass equation A page about the Mackey-Glass equation www.mgix.com/snippets/?MackeyGlass - Web |
| High Anxieties — The Mathematics of Chaos High Anxieties — The Mathematics of Chaos www.youtube.com/user/thedebtgeneration?feature=mhum - Web |
| The chaos theory of evolution The chaos theory of evolution www.newscientist.com/.../mg20827821.000-the-chaos-theory-of-evolution.html - Web |
