Generalized analytical solutions for certain coupled simple chaotic systems  

作　　者：G Sivaganesh A Arulgnanam 

机构地区：[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

出　　处：《Chinese Physics B》2017年第5期71-81,共11页中国物理B（英文版）

摘　　要：We present a generalized analytical solution to the normalized state equations of a class of coupled simple secondorder 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.We present a generalized analytical solution to the normalized state equations of a class of coupled simple secondorder 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：chaotic bifurcation normalized identical chaos exponent Pecora generalization circuits explicit 

分 类 号：O415.5[理学—理论物理] O175[理学—物理]