Deakin University
Browse

File(s) under permanent embargo

A novel 3D non-autonomous system with parametrically excited abundant dynamics and bursting

Version 2 2024-06-05, 12:27
Version 1 2020-04-21, 12:18
journal contribution
posted on 2024-06-05, 12:27 authored by M Wang, J Li, Samson YuSamson Yu, X Zhang, Z Li, HHC Iu
In this paper, a novel non-autonomous chaotic system with rich dynamical behaviors is proposed by introducing parametric excitation to a Lorenz-like system, and the effect of the initial value of the excitation system on the resulting system dynamics is then thoroughly investigated. The attractors resulting from the proposed chaotic system will enter different oscillating states or have topological change when the initial value varies. Furthermore, some novel bursting oscillations and bifurcation mechanism are revealed. Stability and bifurcation of the proposed 3D non-autonomous system are comprehensively investigated to analyze the causes of the observed dynamics through a range of analytical methods, including bifurcation diagram, Lyapunov exponent spectrum, and sequence and phase diagrams. Software simulation and hardware experimentation are conducted in this study, which verify the dynamic behaviors of the proposed chaotic system. This study will create a new perspective and dimension of perceiving non-autonomous chaotic systems and exploring their applicability in real-world engineering applications. Generally speaking, the non-autonomous chaotic system will generate abundant dynamical behaviors because of the variable equilibrium points. In this paper, a new 3D non-autonomous chaotic system with parametrically excited dynamics is investigated. First, it is found that the initial phase of excitation leads to complex dynamical behaviors on the system. Second, some coexistence attractors are observed in the system. Third, it is also found that a novel bursting oscillation with “delayed supercritical pitchfork bifurcation/homoclinic connection/delayed Hopf bifurcation/homoclinic connection”.30 This work is of great help to enrich the existing theory.

History

Journal

Chaos

Volume

30

Article number

043125

Pagination

1 - 14

Location

United States

ISSN

1054-1500

eISSN

1089-7682

Language

English

Publication classification

C1 Refereed article in a scholarly journal

Issue

4

Publisher

AMER INST PHYSICS