A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

doi:10.1088/1674-1056/27/4/040502

Abstract

In this paper, we introduce a new two-dimensional nonlinear oscillator with an infinite number of coexisting limit cycles. These limit cycles form a layer-by-layer structure which is very unusual. Forty percent of these limit cycles are self-excited attractors while sixty percent of them are hidden attractors. Changing this new system to its forced version, we introduce a new chaotic system with an infinite number of coexisting strange attractors. We implement this system through field programmable gate arrays.

Keywords: chaotic oscillators multistability hidden attractors

Received: 09 September 2017
Revised: 07 December 2017
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Ac	(Low-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Corresponding Authors: Viet-Thanh Pham
E-mail: phamvietthanh@tdt.edu.vn

Cite this article:

Yan-Xia Tang(唐妍霞), Abdul Jalil M Khalaf, Karthikeyan Rajagopal, Viet-Thanh Pham, Sajad Jafari, Ye Tian(田野) A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors 2018 Chin. Phys. B 27 040502

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A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

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