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.
Keywords:
quasiperiodic motions, synchronization, chaos
Citation:
Anishchenko V. S., Nikolaev S. M., Stability, synchronization and destruction of quasiperiodic motions, Rus. J. Nonlin. Dyn.,
2006, Vol. 2, No. 3,
pp. 267-278
DOI:10.20537/nd0603001