Some recent results on the stability of endomorphisms. (English) Zbl 1267.37027
Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-11455-7/hbk; 978-3-642-11456-4/ebook). Springer Proceedings in Mathematics 1, 471-485 (2011).
The paper is a survey of several forms of stability and structural stability for discrete dynamical systems with an emphasis on non-invertible systems. The paper states some classical and also some new results, presenting a large amount of examples and open problems.
For the entire collection see [Zbl 1213.00067].
For the entire collection see [Zbl 1213.00067].
Reviewer: Martin Sambarino (Montevideo)
MSC:
| 37C75 | Stability theory for smooth dynamical systems |
| 37C20 | Generic properties, structural stability of dynamical systems |
| 37-02 | Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory |
Keywords:
structural stability; stability; geometric stability; non-invertible maps; maps with singularitiesReferences:
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