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Effect of a particular coupling on the dynamic behavior of nonlinear systems
Author(s) -
Cannas Barbara,
Pisano Fabio
Publication year - 2013
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.1867
Subject(s) - nonlinear system , tangent , lyapunov exponent , control theory (sociology) , chaotic , polynomial , coupling (piping) , transformation (genetics) , mathematics , piecewise , piecewise linear function , computer science , topology (electrical circuits) , mathematical analysis , engineering , physics , geometry , control (management) , mechanical engineering , biochemistry , chemistry , quantum mechanics , combinatorics , artificial intelligence , gene
SUMMARY In this paper, the dynamics of particular nonlinear dynamic systems of order six, characterized by two positive Lyapunov exponents, is analyzed. Transformation techniques are applied to the study of these systems; in particular, the analysis of the transverse and tangent systems showed that they are equivalent to two uncoupled identical chaotic systems of order three. Examples of polynomial and piecewise linear systems are proposed. Both numerical simulation and circuit implementation have been performed. Moreover, a systematic method to project these systems is presented. Copyright © 2012 John Wiley & Sons, Ltd.