A New Feigenbaum-Like Chaotic 3D System | Zendy

Huitao Zhao | Zendy; Yiping Lin | Zendy; Yunxian Dai | Zendy

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A New Feigenbaum-Like Chaotic 3D System

Author(s) -

Huitao Zhao,

Yiping Lin,

Yunxian Dai

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/328143

Subject(s) - lyapunov exponent , attractor , period doubling bifurcation , chaotic , bifurcation diagram , bifurcation , mathematics , sequence (biology) , statistical physics , dimension (graph theory) , mathematical analysis , computer science , nonlinear system , physics , pure mathematics , artificial intelligence , quantum mechanics , biology , genetics

Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations. The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor

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