Suppression of Chaos in Mutually Coupled Synchronized Generalized Lorenz Systems

Autor:	Gowse, V. Ramiya, Palanivel, B., Satyanarayana, S. V. M., Sivaprakasam, S.
Rok vydání:	2019
Předmět:	Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	In this work, the dynamics of a system of mutually coupled Generalized Lorenz systems (GLS) is investigated. The state variables of two Lorenz oscillators are coupled mutually via non-linear controls and synchronization is achieved between the state variables. We find that by suitably controlling a parameter having a bearing on the coupling coefficient between the two Lorenz oscillators, the GLS, while preserving synchronization is rendered to a state wherein chaotic nature of state variables is suppressed and state variables exhibit oscillatory character. The suppression of chaos is verified by power spectra, permutation entropy and Lyapunov exponent calculations. When operated in chaotic domain, we show the possibility of transition from the state of synchronization to the state of anti-synchronization. Comment: There are eight figures. Article is of 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.03469 Zobrazit plný text záznamu View this record from Arxiv