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Proceedings Paper

Nonautonomous equations of complicated Roessler's model and bifurcation cascades
Author(s): Andrey L. Sanin; Andrey T. Bagmanov
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Paper Abstract

The first differential equation of the Rossler model was supplemented by the term that depends explicitly on time. The cosine amplitude defines external action on this dynamical system, and at some value of the amplitude dynamical chaos is possible. Properties of non-autonomous differential equations were investigated by using the standard methods of nonlinear dynamics including the fast Fourier transformation, point maps, phase trajectory projections. The bifurcation cascades were found under variations of the amplitude. The dynamical model presented can be considered as development of the Rossler simple model.

Paper Details

Date Published: 10 October 2003
PDF: 6 pages
Proc. SPIE 5127, Sixth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (10 October 2003); doi: 10.1117/12.517975
Show Author Affiliations
Andrey L. Sanin, St. Petersburg State Technical Univ. (Russia)
Andrey T. Bagmanov, St. Petersburg State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 5127:
Sixth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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