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.
Effect of a particular coupling on the dynamic behavior of nonlinear systems
CANNAS, BARBARA;PISANO, FABIO
2013-01-01
Abstract
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.
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