New indicators of chaos

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摘要

An algorithm which allows to recognize whether the evolution of the system is periodic, chaotic or hyperchaotic is proposed. Minimum length orbit is introduced. Its behavior depends on the kind of solution. The calculations are presented for the Hénon map, for the damped driven pendulum, for the Rössler system, and for the hyperchaotic Qi system.

论文关键词:Hyperchaos,Chaos,Indicators of chaos,Nonlinear differential equations

论文评审过程:Available online 7 December 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.08.095