ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Najdenov S. V., Yanovsky V. V. Geometrical nonlinear dynamics features of systems with elastic reflections. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 1, pp. 113-126. DOI: 10.18500/0869-6632-2002-10-1-113-126

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
514.8; 517.938; 530.182
DOI: 
10.18500/0869-6632-2002-10-1-113-126

Geometrical nonlinear dynamics features of systems with elastic reflections

Autors: 
Najdenov Sergej Vjacheslavovich, Institute of Monocrystals of NAS of Ukraine
Yanovsky Vladimir Vladimirovich, Institute of Monocrystals of NAS of Ukraine
Abstract: 

Within the framework оf the new geometrical-dynamic approach а special class оf dynamic systems - reversible mappings with projective involutions оп «symmetric» phase space - is linked with billiard systems. Basic geometrical features оf locally smooth billiard involutions - projectivity and piecewise discontinuity are explored and their role in making оf one оr another (regular and random) nonlinear billiard dynamics is indicated. Billiard involutions for simple algebraic curves are obtained and their common properties are set.

Key words: 
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Received: 
04.09.2000
Accepted: 
13.03.2002
Available online: 
13.12.2023
Published: 
31.07.2002
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