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Universal phenomena in some infinite-dimensional dynamical systems. (English) Zbl 0886.58099

Summary: Qualitative and quantitative “universalities” known for one-dimensional dynamical systems are transferred to some infinite-dimensional dynamical systems given by difference and differential difference equations, and also by boundary value problems for equations with partial derivatives.

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
37E99 Low-dimensional dynamical systems
37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
35-XX Partial differential equations
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