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Bifurcations and Routes to Chaos

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Chaos
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Abstract

In Chapter 5 we saw that the stability of a dynamical system depends on the values that certain parameter(s) assume. Thus, the equilibrium state of the system may be stable for some range of the parameter(s) and unstable for others. When the equilibrium state is stable, we need not worry about anything. No changes are going to take place in the dynamics of the system. If the equilibrium state is unstable, however, changes are anticipated. We saw that in these cases the equilibrium state is a repeller or a saddle, and all trajectories diverge. Where do they go? What happens to them?

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© 1992 Springer Science+Business Media New York

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Tsonis, A.A. (1992). Bifurcations and Routes to Chaos. In: Chaos. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3360-3_6

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  • DOI: https://doi.org/10.1007/978-1-4615-3360-3_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6482-5

  • Online ISBN: 978-1-4615-3360-3

  • eBook Packages: Springer Book Archive

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