Chaotic phenomena
Copyright policy )Chaotic phenomena
The essential phenomena of chaotic systems are reviewed with several references to biological applications. Difference and differential equations are discussed separately, followed by a shorter chapter on measures, dimensions, and entropy. Several well-known model systems (like the logistic map, the Baker's transformation, or the horseshoe map for difference equations, the Hénon equation, the Lorentz equations, or the periodically forced van der Pol oscillator for differential systems) are presented in order to illustrate the general features of chaos.
- University of Stuttgart Germany
- University of Western Australia Australia
Difference equations, chaos, measures, chaotic systems, Models, Psychological, Models, Biological, Stability theory for ordinary differential equations, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, logistic map, Hénon equation, horseshoe map, Animals, Humans, van der Pol oscillator, dimensions, entropy, Lorentz equations, General biology and biomathematics, Mathematics, Qualitative properties of solutions to partial differential equations, Baker's transformation
Difference equations, chaos, measures, chaotic systems, Models, Psychological, Models, Biological, Stability theory for ordinary differential equations, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, logistic map, Hénon equation, horseshoe map, Animals, Humans, van der Pol oscillator, dimensions, entropy, Lorentz equations, General biology and biomathematics, Mathematics, Qualitative properties of solutions to partial differential equations, Baker's transformation
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