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 |