Geodesic
Stability, synchronization and destruction of quasiperiodic motions
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 3, pp. 267-278 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a new autonomous dynamical system of dimension $N=4$ that demonstrates the regime of stable two-frequency motions. It is shown that system of two generators of quasiperiodic motions with symmetric coupling can realize motions on four-dimensional torus with resonant structures on it in the form of three- and two-dimensional torus. We show that with increase of noise intensity the higher the dimension of torus the faster it is destroyed.
Mots-clés : quasiperiodic motions, chaos.
Keywords: synchronization 
@article{ND_2006_2_3_a0,
     author = {V. S. Anishchenko and S. M. Nikolaev},
     title = {Stability, synchronization and destruction of quasiperiodic motions},
     journal = {Russian journal of nonlinear dynamics},
     pages = {267--278},
     year = {2006},
     volume = {2},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2006_2_3_a0/}
}
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V. S. Anishchenko; S. M. Nikolaev. Stability, synchronization and destruction of quasiperiodic motions. Russian journal of nonlinear dynamics, Tome 2 (2006) no. 3, pp. 267-278. http://geodesic.mathdoc.fr/item/ND_2006_2_3_a0/