Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第44回ISCIE「確率システム理論と応用」国際シンポジウム(2012年11月, 東京)
Order in Chaotic Oscillation in Nonlinear Systems
Hirokazu OhtagakiTakahiro Yamaguchi
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2013 年 2013 巻 p. 187-192

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This paper proposes a method invoking one dimensional piecewise continuous map(PCM) in order to investigate the order in chaotic oscillation and periodic oscillation in nonlinear dynamical systems described by ordinary differential equations. The systems studied in this paper are of Van der Pol-Mathieu type. The PCM is derived from the data sequence of state variables of nonlinear systems. Computational experiments on the systems of Van der Pol-Mathieu type and on the PCM show that the proposed method is effective to investigate the existence of chaotic oscillation and periodic oscillation in nonlinear dynamical systems such as Van der Pol-Mathieu type.
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© 2013 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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