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General properties of autonomous dynamical systems

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Regular and Chaotic Oscillations

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

The main elements of the phase space of a dynamical system are singular points and limits sets.1 Singular points and limit sets can both attract all adjacent phase trajectories and repel them. The former are often spoken of as attractors and the latter are said to be repellers.

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© 2001 Springer-Verlag Berlin Heidelberg

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Landa, P.S. (2001). General properties of autonomous dynamical systems. In: Regular and Chaotic Oscillations. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45252-2_3

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  • DOI: https://doi.org/10.1007/978-3-540-45252-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07423-3

  • Online ISBN: 978-3-540-45252-2

  • eBook Packages: Springer Book Archive

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