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Nonlinear Self-Adjointness for some Generalized KdV Equations Read chapter Read first chapter

2014 | OriginalPaper | Chapter

6. Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative

Authors : Arkadiusz Syta, Grzegorz Litak

Published in: Discontinuity and Complexity in Nonlinear Physical Systems

Publisher: Springer International Publishing

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Abstract

We examined the Van der Pol system with external forcing and a memory possessing fractional damping term. Calculating the basins of attraction we showed broad spectrum of nonlinear behaviour connected with sensitivity to the initial conditions. To quantify dynamical response of the system we propose the statistical 0–1 test. The results have been confirmed by bifurcation diagrams, phase portraits and Poincare sections.

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previous chapter Parameter Optimization of Fractional Order PI λ D μ Controller Using Response Surface Methodology
next chapter Fractional Calculus: From Simple Control Solutions to Complex Implementation Issues
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Metadata
Title
Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative
Authors
Arkadiusz Syta
Grzegorz Litak
Copyright Year
2014
Book
Discontinuity and Complexity in Nonlinear Physical Systems

Print ISBN: 978-3-319-01410-4

Electronic ISBN: 978-3-319-01411-1

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-01411-1_6

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