Analytical studies on the dynamics of higher-dimensional nonlinear circuit systems

被引：6

作者：

Sivaganesh, G. ^{[1
]}

Srinivasan, K. ^{[2
]}

Arulgnanam, A. ^{[3
]}

机构：

[1] Alagappa Chettiar Govt Coll Engn & Technol, Dept Phys, Karaikkudi 630003, Tamil Nadu, India

[2] Bharathidasan Univ, Dept Phys, Nehru Mem Coll, Tiruchirapalli 620024, India

[3] Manonmaniam Sundaranar Univ, Dept Phys, St Johns Coll, Abishekapatti 627012, Tirunelveli, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2022年 / 96卷 / 04期

关键词：

Chua's circuit; chaos; canonical Chua's circuit; hyperchaos; 05; 45; -a; Ac; GENERALIZED ANALYTICAL SOLUTIONS; SYNCHRONIZING CHAOS; CHUA ATTRACTORS; REALIZATION; GALLERY;

D O I：

10.1007/s12043-022-02428-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Explicit analytical solutions of higher-dimensional chaotic and hyperchaotic systems are areas of research to be much explored. Till now, the dynamics of higher-dimensional systems and the synchronisation dynamics of coupled higher-dimensional systems have not been studied analytically. In the present work, explicit analytical solutions are developed for the dynamical behaviours observed in third-order and fourth-order nonlinear dissipative systems and also for the coupled dynamics of these systems. The Chua's circuit and the modified canonical Chua's circuit are studied analytically in the present work. The analytical results explaining the underlying important features of these systems are validated through experimental results.

引用

页数：17

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