Differential Equations and Control Processes, 2012, Issue 1, Pages 1–84
D. V. Anosovab, E. V. Zhuzhomac
a Moscow State University, Moscow, Russia
b Steklov Mathematical Institute, Moscow, Russia
c Nizhni Novgorod State Pedagogical University, Nizhni Novgorod, Russia
Numerous papers deal with the closing lemma and variations thereof. The survey considers various types of closing lemmas. The ideas of proofs of the main results are presented, and schemes for constructing important examples are given. We illustrate the application of closing lemmas to the description of residual sets in spaces of dynamical systems.
|Russian Foundation for Basic Research
|Ministry of Education and Science of the Russian Federation
|The research was supported by the Russian Foundation for Basic Research (grant no. 11-01-12056-ofi-m-2011) and was performed in the framework of the grant of the Government of the
Russian Federation for state support of scientific research conducted in leading Russian institutes
under supervision of leading scientists (contract no. 11.G34.31.0039).
Differential equations, 2012, 48:13, 1653–1699
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