Naydenov S. Deterministic chaos in nonlinear systems with discontinuities

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000552

Thesis Registration Form

0507U000552.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

17-10-2007

Specialized Academic Board

Д 64.169.01

Institute for single crystals NASU

Essay

The problem of dynamic chaos is considered for nonlinear systems with discontinuities. For billiards, a universal geometric-dynamic approach is proposed and new geometric-dynamic effects are predicted. For maps with a discontinuity a universal scenario of spontaneous transition to chaos is discovered. For optical systems a photometric law for chaotic collection and a spectrometric law for the regular collection have been predicted. A rigorous theory of multi-energy radiography has been constructed.

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Files

aref.doc

aref.doc

diss.doc

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