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Slow relaxations and bifurcations of the limit sets of dynamical systems. II. Slow relaxations of a family of semiflows

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Abstract

We propose a number of approaches to the notion of the relaxation time of a dynamical system which are motivated by the problems of chemical kinetics, give exact mathematical definitions of slow relaxations, study their possible reasons, among which an important role is played by bifurcations of limit sets.

Key words

compact metric spaces dynamical systems slow relaxations bifurcations of limit sets 

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References

  1. 1.
    A. N. Gorban’ and V. M. Cheresiz, “Slow Relaxations and Bifurcations of the Limit Sets of Dynamical Systems. I. Bifurcations of Limit Sets,” Sibirsk. Zh. Indust. Mat. 11(4), 34–46 (2008) [J. Appl. Indust. Math. 4 (1), 54–64 (2010)].MathSciNetGoogle Scholar
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    V. V. Nemytskii and V. V. Stepanov, Theory of Differential Equations (Gostekhizdat, Moscow, 1949) [in Russian].Google Scholar
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    J. D. Birkhoff, Dynamical Systems (Gostekhizdat, Moscow, 1941) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LeicesterLeicesterUK
  2. 2.Institute of Computational ModelingAkademgorodok, KrasnoyarskRussia
  3. 3.Sobolev Institute of MathematicsNovosibirskRussia

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