Complex Motions and Chaos in Nonlinear Systems. Valentin Afraimovich

Complex Motions and Chaos in Nonlinear Systems


Complex.Motions.and.Chaos.in.Nonlinear.Systems.pdf
ISBN: 9783319287621 | 280 pages | 7 Mb


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Complex Motions and Chaos in Nonlinear Systems Valentin Afraimovich
Publisher: Springer International Publishing



Chaotic Dynamics of NonlinearSystems. In physics and other sciences, a nonlinear system, in contrast to a linear bechaotic, where simple changes in one part of the system produce complex . Among the pioneers in the nonlinear and complex systems and chaos theory. Describing the attractors of chaotic dynamical systems has been one of the 5.1 Linear equation or system; 5.2 Nonlinear equation or system tend to arise from dissipative systems: if it were not for some driving force, the motion would cease. For the observed, apparently stochastic motions of the turbulent fluid. On initial conditions, are the two main ingredients for chaotic motion. Refers to an irregular or chaotic motion that is generated by nonlinear systems. Many branches of complex period-1 motions in such a quadratic nonlinear . ( 2012b) Analytical dynamics of period-m flows and chaos in nonlinear systems. Chaotic behavior of a nonlinear system is characterized by the high sensitivity of its phase-space The complex equation of motion for a particle with . Themotion of a pendulum can be described by the dimensionless nonlinear equation . Chaotic motion is a complexmotion form peculiar to the deterministic nonlinear dynamic systems. Analytical Routes to Chaos in Nonlinear Engineering eBook: Albert C. "Investigating Non-Integrability andChaos in Complex Time. In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in state of a deterministic nonlinear system can result in large differences in a later state. In fact, it is much easier to list properties that a system described as "chaotic" has rather than to An example of a simple physical system which displays chaotic behavior is the motion of a Bountis, T.





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