Naboka O. Synchronization in the problems of dynamics of nonlinear infinite dimensional coupled systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U003429

Thesis Registration Form

0410U003429.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

14-05-2010

Specialized Academic Board

К64.051.11

Essay

Synchronization at the level of attractor is studied for a compound system of coupled Berger equations. It is proved that the attractor is upper semi-continuous with respect to the system coupling parameter in the Hausdorff metrics. A particular case of two coupled equations with nonlinear damping is considered. The conditions to be imposed on the damping functions to ensure the system synchronization are obtained. The system of two locally coupled equations is considered. It is proved that the system is partially synchronized on the domain of coupling localization.

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Files

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dis.pdf

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