A Damping-Tunable Snap System: From Dissipative Hyperchaos to Conservative Chaos

Entropy

Patinya Ketthong¹  Banlue Srisuchinwong¹ 

[1] School of Information, Computer, and Communication Technology, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12120, Thailand;

关键词: adjustable attractor dimension;    conservative chaos;    dissipative hyperchaos;    FPAA;    hyperjerk;    tunable damping;   

DOI  :  10.3390/e24010121

来源: DOAJ

【 摘 要 】

A hyperjerk system described by a single fourth-order ordinary differential equation of the form $\stackrel{⃜}{x}=f(\stackrel{⃛}{x},\ddot{x},\dot{x},x)$ has been referred to as a snap system. A damping-tunable snap system, capable of an adjustable attractor dimension ($D_L$) ranging from dissipative hyperchaos ($D_L<4$) to conservative chaos ($D_L=4$), is presented for the first time, in particular not only in a snap system, but also in a four-dimensional (4D) system. Such an attractor dimension is adjustable by nonlinear damping of a relatively simple quadratic function of the form $A{x}^2$, easily tunable by a single parameter A. The proposed snap system is practically implemented and verified by the reconfigurable circuits of field programmable analog arrays (FPAAs).

【 授权许可】

Unknown