Bifurcation phenomena and chaotic attractors in a six-dimensional nonlinear system

Some chaotic properties of a six-dimensional nonlinear dynamic system are investigated. Equations describing the system are based on the equivalent circuit of a magnetic frequency tripler. Numerical solutions are obtained using the fourth-order Runge–Kutta algorithm. Simulation results reveal the pr...

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Bibliographic Details
Published in:Journal of applied physics 1998-06, Vol.83 (11), p.6371-6373
Main Authors: Sutani, T., Czaszejko, T., Nafalski, A.
Format: Article
Language:English
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Summary:Some chaotic properties of a six-dimensional nonlinear dynamic system are investigated. Equations describing the system are based on the equivalent circuit of a magnetic frequency tripler. Numerical solutions are obtained using the fourth-order Runge–Kutta algorithm. Simulation results reveal the presence of Hopf and a period-doubling bifurcations. Phase space projections at points before and after bifurcations show the existence of three symmetrical and four asymmetric regions. Poincaré maps reveal six different chaotic attractors within the asymmetric regions. The correlation dimension of the sea horse attractor is found to be 2.37.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.367598