Chaos and maps in relativistic rynamical systems
نویسندگان
چکیده
منابع مشابه
Chaos and Maps in Relativistic Dynamical Systems
The basic work of Zaslavskii et al showed that the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on the phase space; the resulting evolution contains a stochastic flow to unbounded energy. Subsequent studies have formulated the problem in terms of a relativistic charged particle in interaction with the electromagnetic field. We re...
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The noninvariance of Lyapunov exponents in general relativity has led to the conclusion that chaos depends on the choice of the space-time coordinates. Strikingly, we uncover the transformation laws of Lyapunov exponents under general space-time transformations and we find that chaos, as characterized by positive Lyapunov exponents, is coordinate invariant. As a result, the previous conclusion ...
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Much of early research on chaos from the viewpoint of physics was performed using spatially confined convective systems. In spatially extended convective systems, on the other hand, spatiotemporal chaos occurs. However, there is no unified definition for the term spatiotemporal chaos as for chaos. To unify definition, a property common to the three kinds of spatiotemporal chaos observed in elec...
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Kim and Lee @Phys. Rev. E 52, 473 ~1995!# report relativity-induced resonances in periodically driven oscillators. We comment that zero-dispersion nonlinear resonance ~ZDNR! will occur in some of the systems considered, outline the physical origins of the ZDNR, and propose an explanation of a discrepancy noted by Kim and Lee between their theoretical and numerical values of the energy at the st...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2000
ISSN: 1026-0226,1607-887X
DOI: 10.1155/s1026022600000078