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Global structure of dynamical systems

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 172))

Abstract

Till now we have dealt mainly with the properties of individual evolutions of dynamical systems. In this chapter we consider aspects that in principle concern al evolutions of a given dynamical system. We already saw some of this when dealing with structural stability (see 3.4.2) which means that under C-small perturbations the ‘topology’ of the collection of all evolutions does not change.

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Correspondence to Henk Broer .

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Broer, H., Takens, F., Takens, F. (2011). Global structure of dynamical systems. In: Dynamical Systems and Chaos. Applied Mathematical Sciences, vol 172. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6870-8_4

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