Geodesic
Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 2, pp. 309-325

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study a problem of rolling of the dynamically asymmetric ball with displacement center of gravity on a plane without slipping and vertical rotating. It is shown that the dynamics of the ball is significantly affected by the type of reversibility. Depending on the type of the reversibility we found two different types of dynamical chaos: strange attractors and mixed chaotic dynamics. In this paper we describe a strange attractor development, and then its basic properties. A set of criteria by which in numerical experiments mixed dynamics may be distinguished from other types of dynamical chaos are given.
Keywords: rock-n-roller, rubber rolling, reversibility, focus, saddle, separatrix, homoclinic tangency, Lyapunov's exponents, mixed dynamics, strange attractor.
Mots-clés : bifurcation 
@article{ND_2013_9_2_a7,
     author = {Alexey O. Kazakov},
     title = {Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem},
     journal = {Russian journal of nonlinear dynamics},
     pages = {309--325},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_2_a7/}
}
TY  - JOUR
AU  - Alexey O. Kazakov
TI  - Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem
JO  - Russian journal of nonlinear dynamics
PY  - 2013
SP  - 309
EP  - 325
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2013_9_2_a7/
LA  - ru
ID  - ND_2013_9_2_a7
ER  - 
%0 Journal Article
%A Alexey O. Kazakov
%T Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem
%J Russian journal of nonlinear dynamics
%D 2013
%P 309-325
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2013_9_2_a7/
%G ru
%F ND_2013_9_2_a7
Alexey O. Kazakov. Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 2, pp. 309-325. http://geodesic.mathdoc.fr/item/ND_2013_9_2_a7/