DYNAMICS AT INFINITY of A CUBIC CHUA'S SYSTEM
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Data
2011-01-01
Autores
Messias, Marcelo [UNESP]
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Editor
World Scientific Publ Co Pte Ltd
Resumo
We use the Poincare compactification for a polynomial vector field in R(3) to study the dynamics near and at infinity of the classical Chua's system with a cubic nonlinearity. We give a complete description of the phase portrait of this system at infinity, which is identified with the sphere S(2) in R(3) after compactification, and perform a numerical study on how the solutions reach infinity, depending on the parameter values. With this global study we intend to give a contribution in the understanding of this well known and extensively studied complex three-dimensional dynamical system.
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Palavras-chave
Chua's system, Poincare compactification, dynamics at infinity, global behavior, chaotic attractor
Como citar
International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 21, n. 1, p. 333-340, 2011.