Popovych O. Asymptotic behavior and bifurcations of solutions of coupled oscillator lattices

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U000329

Thesis Registration Form

0499U000329.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

16-02-1999

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

In the thesis the stability of periodic solutions of coupled oscillator lattices is investigated in the case when the base oscillator is one-dimensional nonlinear map of an interval into itself. It is proposed and justified the method to investigate a type of transversal bifurcations of symmetrical cycles belonging to synchronizing manifold. The conditions of strong and weak partial chaotic synchronization are obtained that are applied to the examination of partial synchronization in concrete systems with symmetrical and nonsymmetrical coupling.

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