Generalized analytical solutions for certain coupled simple chaotic systems

doi:10.1088/1674-1056/26/5/050502

中国物理B ›› 2017, Vol. 26 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/26/5/050502

Generalized analytical solutions for certain coupled simple chaotic systems

G Sivaganesh, A Arulgnanam

1 Department of Physics, Alagappa Chettiar College of Engineering & Technology, Karaikudi, Tamilnadu-630 004, India;
2 Department of Physics, St. John's College, Palayamkottai, Tamilnadu-627 002, India

收稿日期:2016-12-16 修回日期:2017-01-24 出版日期:2017-05-05 发布日期:2017-05-05
通讯作者: G Sivaganesh E-mail:sivaganesh.nld@gmail.com

Generalized analytical solutions for certain coupled simple chaotic systems

G Sivaganesh¹, A Arulgnanam²

1 Department of Physics, Alagappa Chettiar College of Engineering & Technology, Karaikudi, Tamilnadu-630 004, India;
2 Department of Physics, St. John's College, Palayamkottai, Tamilnadu-627 002, India

Received:2016-12-16 Revised:2017-01-24 Online:2017-05-05 Published:2017-05-05
Contact: G Sivaganesh E-mail:sivaganesh.nld@gmail.com

摘要/Abstract

摘要： We present a generalized analytical solution to the normalized state equations of a class of coupled simple second-order non-autonomous circuit systems. The analytical solutions thus obtained are used to study the synchronization dynamics of two different types of circuit systems, differing only by their constituting nonlinear element. The synchronization dynamics of the coupled systems is studied through two-parameter bifurcation diagrams, phase portraits, and time-series plots obtained from the explicit analytical solutions. Experimental figures are presented to substantiate the analytical results. The generalization of the analytical solution for other types of coupled simple chaotic systems is discussed. The synchronization dynamics of the coupled chaotic systems studied through two-parameter bifurcation diagrams obtained from the explicit analytical solutions is reported for the first time.

关键词: synchronization, unidirectional coupling, master stability function

Abstract: We present a generalized analytical solution to the normalized state equations of a class of coupled simple second-order non-autonomous circuit systems. The analytical solutions thus obtained are used to study the synchronization dynamics of two different types of circuit systems, differing only by their constituting nonlinear element. The synchronization dynamics of the coupled systems is studied through two-parameter bifurcation diagrams, phase portraits, and time-series plots obtained from the explicit analytical solutions. Experimental figures are presented to substantiate the analytical results. The generalization of the analytical solution for other types of coupled simple chaotic systems is discussed. The synchronization dynamics of the coupled chaotic systems studied through two-parameter bifurcation diagrams obtained from the explicit analytical solutions is reported for the first time.

Key words: synchronization, unidirectional coupling, master stability function

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

G Sivaganesh,A Arulgnanam. Generalized analytical solutions for certain coupled simple chaotic systems[J]. 中国物理B, 2017, 26(5): 50502-050502.

G Sivaganesh, A Arulgnanam. Generalized analytical solutions for certain coupled simple chaotic systems[J]. Chin. Phys. B, 2017, 26(5): 50502-050502.

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Generalized analytical solutions for certain coupled simple chaotic systems

Generalized analytical solutions for certain coupled simple chaotic systems

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