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Parameter variation methods for cell mapping

โœ Scribed by I. A. W. Spek; C. A. L. Hoon; A. Kraker; D. H. Campen

Book ID
104622112
Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
778 KB
Volume
7
Category
Article
ISSN
0924-090X

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โœฆ Synopsis

In the study of nonlinear dynamic systems, the influence of system parameters on the long term behaviour plays an important role. In this paper, parameter variation methods are presented which can be used when investigating a nonlinear dynamic system by means of simple or interpolated cell mapping. In the case of coexisting attractors, the proposed methods determine the evolution of the basin boundaries when a system parameter is varied. Application of the methods to a modified Duffing equation is performed. It is concluded that the proposed methods are very efficient and accurate.

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