Chaotic Behavior and Strange Attractors in Dynamical Systems
نویسندگان
چکیده
منابع مشابه
Strange nonchaotic attractors in random dynamical systems.
Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant...
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A discrete dynamical system in Euclideanm-space generated by the iterates of an asymptotically zero map f , satisfying |f(x)| → 0 as |x| → ∞, must have a compact global attracting set A. The question of what additional hypotheses are sufficient to guarantee that A has a minimal (invariant) subset A that is a chaotic strange attractor is answered in detail for a few types of asymptotically zero ...
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One of the remarkable achievements in science in the 20th century is the discovery of dynamical chaos. Using this paradigm, many problems in modern science and engineering can be realistically simulated and analyzed via the tools of nonlinear dynamics. The quest for understanding and explaining chaos in real physical systems has led to the creation of new mathematical techniques. Indeed, there ...
متن کاملHow chaotic are strange nonchaotic attractors?
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attractors described by Grebogi et al and Herman in the mid-1980s have some chaotic properties. More precisely, we show that these systems exhibit sensitive dependence on initial conditions, both on the whole phase space and restricted to the attractor. The results also remain valid in more general class...
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ژورنال
عنوان ژورنال: IOSR Journal of Mathematics
سال: 2012
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-0252531