New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria

被引：54

作者：

Singh, Jay Prakash ^{[1
]}

Roy, Binoy Krishna ^{[1
]}

Jafari, Sajad ^{[2
]}

机构：

[1] Natl Inst Technol Silchar, Silchar 788010, Assam, India

[2] Ambikar Univ Technol, Tehran 158754413, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 106卷

关键词：

Surface of equilibria; Hyperchaotic system; Chaotic system; Coexistence of attractors; Many equilibria chaotic system; Multi-stability; LYAPUNOV EXPONENTS; AUTONOMOUS SYSTEM; INFINITE NUMBER; RIDDLED BASINS; ATTRACTOR; LINE; SIMULATION; EQUATION; FLOWS; PLUS;

D O I：

10.1016/j.chaos.2017.11.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper reports 4-D hyperchaotic and chaotic systems with various quadric surfaces of equilibria. A known and systematic search procedure is used to generate the proposed systems. Six cases have non-degenerate quadric surfaces (ellipsoid, spheroid, sphere, elliptic hyperboloid of one sheet, circular hyperboloid of one sheet) type of equilibria and two cases have degenerate quadric surfaces (elliptic cylinder, circular cylinder) type of equilibria. All the cases in the new systems have coexistence of chaotic attractors. Chaotic natures of the new systems are confirmed by using various numerical tools. MATLAB simulation results are further validated by circuit implementations. (c) 2017 Elsevier Ltd. All rights reserved.

引用

页码：243 / 257

页数：15

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