Open AccessSimple method for enlarging positive LE and accelerating calculation speed of chaotic system
Author(s) -
Wang Faqiang
Publication year - 2019
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2019.1637
Subject(s) - chaotic , lyapunov exponent , control theory (sociology) , simple (philosophy) , synchronization of chaos , constant (computer programming) , differential equation , computer science , chaotic systems , value (mathematics) , mathematics , mathematical analysis , artificial intelligence , statistics , philosophy , control (management) , epistemology , programming language
Positive Lyapunov exponent (LE) is vital to identify a dynamical system being chaotic or hyperchaotic. A simple method that the right‐hand side of differential equations which can be used to describe the chaotic system, is multiplied by a constant value, is proposed. From the proposed method, it can not only enlarge the positive LE of chaotic or hyperchaotic systems, but also accelerate their calculation speed. Sprott C chaotic system is selected as an example to show its effectiveness. Finally, an electronic circuit model for Sprott C chaotic system is designed and some experimental results are presented for confirmation.