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Conclusion

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Fractional-Order Nonlinear Systems

Part of the book series: Nonlinear Physical Science ((NPS))

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Abstract

In this book the fractional-order nonlinear systems and methods for their numerical simulation and stability analysis are presented. By illustrative examples we have shown chaotic behaviour of such systems and studied their dynamics. We presented the examples of electrical, mechanical, hydrodynamical, chemical, biological, economical, and the other chaotic systems. We studied only the state trajectories (attractors) and we avoided bifurcation analysis and Poincaré maps.

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Authors and Affiliations

  1. Technical University of Košice, Faculty of BERG, B. Němcovej 3, 042 00, Košice, Slovak Republic

    Ivo Petráš

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  1. Ivo Petráš
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© 2011 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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Petráš, I. (2011). Conclusion. In: Fractional-Order Nonlinear Systems. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18101-6_7

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