Open AccessStudies on the construction method of a family of multi-scroll chaotic systems
Author(s) -
Long Chen,
Peng Hai-Jun,
Wang De-shi
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
ISSN - 1000-3290
DOI - 10.7498/aps.57.3337
Subject(s) - scroll , chaotic , computer science , transformation (genetics) , nonlinear system , series (stratigraphy) , phase space , function (biology) , space (punctuation) , control theory (sociology) , mathematics , physics , artificial intelligence , mechanical engineering , paleontology , biochemistry , chemistry , control (management) , quantum mechanics , evolutionary biology , biology , engineering , gene , operating system , thermodynamics
A method for constructing multi-scroll chaotic systems based on shift transformation is presented. Firstly a proper unstable linear system is selected, and the phase space is divided into several parts by a series of parallel interfaces. Then shift transformations of the linear system are implemented so that each space region is dominated by the corresponding new system. Finally the whole system is obtained using a proper nonlinear function based on signum functions. According to this method new multi-scroll chaotic systems with arbitrary odd number scrolls can be constructed, furthermore, some existing chaotic systems can also be modified into multi-scroll systems. Numerical simulations verify the feasibility of the proposed method.