A new megastable chaotic oscillator with singularity

被引：0

作者：

Zhen Wang

Hamid Reza Abdolmohammadi

Mingshu Chen

Agnieszka Chudzik

Sajad Jafari

Iqtadar Hussain

机构：

[1] Shaanxi Engineering Research Center of Controllable Neutron Source,Department of Electrical Engineering

[2] School of Science,Department of Biomedical Engineering

[3] Xijing University,Department of Mathematics

[4] Golpayegan University of Technology,undefined

[5] Division of Dynamics,undefined

[6] Lodz University of Technology,undefined

[7] Health Technology Research Institute,undefined

[8] Amirkabir University of Technology,undefined

[9] Amirkabir University of Technology,undefined

[10] Statistics and Physics,undefined

[11] Qatar University,undefined

来源：

The European Physical Journal Special Topics | 2020年 / 229卷

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学科分类号：

摘要：

While multistability is known as a hot topic in nonlinear dynamics, two exceptional cases of multistable systems have been investigated less: extreme multistable systems and megastable systems are two newer categories of multistable dynamical systems. In this paper, for the first time, a chaotic megastable oscillator is introduced which has a singularity in its equations. The effect of the amplitude and frequency of forcing term on the dynamical behavior of the designed system is investigated. With the help of the bifurcation diagram and the Lyapunov exponents’ diagram, it is shown that the proposed oscillator can show a variety of dynamical behaviors, including limit cycle, torus, and strange attractor.

引用

页码：2341 / 2348

页数：7

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