On the mechanism of multiscroll chaos generation in coupled non-oscillatory rayleigh-duffing oscillators

Author:

Balamurali Ramakrishnan,Telem Adélaïde Nicole Kengnou,Kengne Jacques,Rajagopal Karthikeyan,Hermann-Dior Mekak-egongORCID

Abstract

Abstract We investigate the dynamics of a pair of coupled non oscillatory Rayleigh-Duffing oscillators (RDOs here after). The RDO serves as a model for a class of nonlinear oscillators including microwave Gunn oscillators [Guin et al Comm. in Nonlinear Sci. Numerical Simulat, 2017]. Here, the coupling between the two oscillators is obtained by superimposing to each one’s amplitude a perturbation proportional to the other one. We demonstrate that the coupling induces more equilibrium points and results in extremely complex nonlinear behaviors including multistability (up to six coexisting attractors), multiple Hopf bifurcations, multi-scroll chaos, and coexisting bifurcation trees. These phenomena are studied in detail by utilizing one-parametric bifurcation plots, bi-parametric Lyapunov exponent diagrams, phase space trajectory plots, and basins of attraction as well. Experimental results captured from an Arduino microcontroller-based realization of the coupled RDOs are included to support the observations made through numerical analysis. We would like to point out that the coupling scheme followed in this work may stimulate the research on multiscroll chaos generation based on coupled nonlinear oscillators.

Funder

Center for Nonlinear Systems, Chennai Institute

Publisher

IOP Publishing

Subject

Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics

Reference30 articles.

1. Dynamics and synchronization of coupled self-sustained electromechanical devices;Yamapi;J. Sound Vib.,2005

2. Chemical oscillations, waves, and turbulence;Kuramoto;Courier Corporation.,2003

3. Effects of unilateral coupling between two chaotic X-band Gunn oscillators;Sarkar;Int. J. Bifurcation Chaos,2013

4. Effect of nonlinear dissipation on the basin boundaries of a driven two-well rayleigh–duffing oscillator;Siewe;Chaos, Solitons Fractals,2009

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3