Premium
Generating 2n‐wing attractors from Lorenz‐like systems
Author(s) -
Yu Simin,
Tang Wallace K. S.,
Lü Jinhu,
Chen Guanrong
Publication year - 2010
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.558
Subject(s) - attractor , lorenz system , realization (probability) , chaotic , wing , product (mathematics) , flexibility (engineering) , quadratic equation , control theory (sociology) , nonlinear system , computer science , function (biology) , mathematics , square (algebra) , topology (electrical circuits) , mathematical analysis , engineering , physics , geometry , statistics , combinatorics , artificial intelligence , control (management) , quantum mechanics , evolutionary biology , biology , aerospace engineering
In this paper, the existence of 2n‐wing chaotic attractors in a family of Lorenz‐like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross‐product or square term in an original Lorenz‐like system with a newly designed multi‐segment quadratic function, multi‐wing attractor can be generated. The main design idea is to increase the number of index‐2 equilibrium points of the system. This approach can not only generate multi‐wing attractors in different Lorenz‐like systems, but can also allow the flexibility in specifying a precise number of wings to be created. Copyright © 2008 John Wiley & Sons, Ltd.