Omelchenko I. Synchronization and stability of solutions of coupled map systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U003517

Thesis Registration Form

0405U003517.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

20-09-2005

Specialized Academic Board

Д26.206.02

Essay

The thesis is devoted to the investigation of strong and weak stability of the fully and partially synchronized solutions of coupled map systems with nonhomogeneous connection matrices. Three types of connection matrices were proposed. As a base element in each system one-dimensional unimodal piecewise linear map and smooth logistic map were considered. Existence of fully and partially synchronized states was proved. Necessary conditions for weak and strong stability of the synchronized states are found.

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Files

AREF.doc

Dysertacija.pdf

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