The velocity of dynamical chaos during propagation of the positive Lyapunov exponents region under non-local conditions

The dynamics of the system is investigated when one part of the system initially behaves in a regular manner and the other in a chaotic one. The propagation of the chaos is considered as the motion of a region with the maximal Lyapunov exponent greater than zero. The time dependencies of the chaos p...

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Bibliographic Details
Published inarXiv.org
Main Author Ovchinnikov, M N
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.07.2019
Subjects
Chaos theory
Delta function
Liapunov exponents
Propagation
Step functions
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Summary:The dynamics of the system is investigated when one part of the system initially behaves in a regular manner and the other in a chaotic one. The propagation of the chaos is considered as the motion of a region with the maximal Lyapunov exponent greater than zero. The time dependencies of the chaos propagation parameters were calculated for the classical and non-local models of non-stationary heat transfer. The system responses were considered to disturbances in the form of the Dirac delta function and the Heaviside step function.
ISSN:2331-8422