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TMF, 2002 Volume 133, Number 1, Pages 36–53 (Mi tmf379)

Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations

L. D. Pustyl'nikov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: We study infinite-dimensional systems of ordinary differential equations having applications in some popular and important physical problems. The appearance of infinite-dimensional space-time chaos is considered, namely, the bifurcations and critical phenomena that occur in the phase

Keywords: chaos, bifurcation, stability, infinite-dimensional system of equations, hyperbolic point, separatrix.

Received: 30.05.2001
Revised: 15.02.2002

DOI: 10.4213/tmf379


 English version:
Theoretical and Mathematical Physics, 2002, 133:1, 1348–1362

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