Panchuk A. Stability and asymptotic behaviour of solutions of a non-linear difference equations system

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000808

Thesis Registration Form

0405U000808.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

22-02-2005

Specialized Academic Board

Д26.206.02

Essay

The thesis is devoted to studying properties of a non-linear difference equation system in a form of globally coupled maps, when it has stable partially synchronized solutions belonging to invariant clustered manifolds. For symmetric periodic partially synchronized solutions which satisfy a cyclicity condition, sufficient conditions for transverse stability were found. For partially synchronized solutions of general form, necessary conditions for transverse stability were obtained.

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