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Circuit implementation and model of a new multi‐scroll chaotic system
Author(s) -
Chen Diyi,
Sun Zaitao,
Ma Xiaoyi,
Chen Lei
Publication year - 2014
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.1860
Subject(s) - scroll , attractor , chaotic , bifurcation , phase space , computer science , bifurcation diagram , electronic circuit , space (punctuation) , control theory (sociology) , circuit diagram , topology (electrical circuits) , mathematics , nonlinear system , mathematical analysis , physics , engineering , artificial intelligence , electronic engineering , mechanical engineering , control (management) , quantum mechanics , combinatorics , thermodynamics , operating system
SUMMARY In this paper, a multi‐scroll chaotic system from the improved Chua's system is proposed. Moreover, non‐linear dynamics are analyzed including phase‐space trajectories, bifurcation diagrams, Poincaré maps and so on. The most important thing is that we discovered phase‐space trajectories, bifurcation diagrams and Poincaré maps are unified and closely related, which can describe different aspects of the multi‐scroll chaotic system. Furthermore, the corresponding improved module‐based circuits are designed for realizing two to four‐scroll chaotic attractors, and the experimental results are also obtained, which are consistent with the numerical simulations. Copyright © 2012 John Wiley & Sons, Ltd.