Predicting the chaos and solution bounds in a complex dynamical system

被引：11

作者：

Chien, Fengsheng ^{[1
,2
]}

Inc, Mustafa ^{[3
,4
,5
]}

Yosefzade, Hamidreza ^{[6
]}

Nik, Hassan Saberi ^{[7
]}

机构：

[1] Fuzhou Univ Int Studies & Trade, Sch Finance & Accounting, Fuzhou 352020, Peoples R China

[2] City Univ Macau, Fac Business, Macau 999078, Peoples R China

[3] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[4] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[6] Payame Noor Univ PNU, Dept Math, POB 19395-4697, Tehran, Iran

[7] Univ Neyshabur, Dept Math & Stat, Neyshabur, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 153卷

关键词：

Nonlinear chaotic complex system; Explicit ultimate bound; Lagrange multiplier method; Optimization; HYPERCHAOTIC SYSTEM; COMPETITIVE MODES; LORENZ; SYNCHRONIZATION; SETS;

D O I：

10.1016/j.chaos.2021.111474

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The competitive modes for a nonlinear chaotic complex system are studied in this paper. In hyperchaotic, chaotic, and periodic cases, we examined competitive modes that are a tool for detecting chaos in a system. Also, using an analytical method and Lagrange optimization, we were able to calculate the ultimate bound of the nonlinear chaotic complex systems. We have presented is simpler and more accurate than other methods that implicitly calculate the ultimate bound. The estimation of the explicit ultimate bound can be used to study chaos control and chaos synchronization. Numerical simulations illustrate the analytical results. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：11

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