Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:4-1-2
Session:
Number:4-1-2-3
Oscillator of Quasiperiodic Oscillations. Two-dimensional Torus Doubling Bifurcation
Vadim Anishchenko, Sergey Nikolaev, Galina Strelkova,
pp.23-25
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
We propose a new autonomous differential dynamical system with dimension N = 4, whose solution represents stable two-frequency oscillations. It is shown that the system realizes a sequence of period doubling bifurcations of two-dimensional ergodic tori. It is established that when the doubling bifrucation takes place, no resonances on a torus are observed and the ergodic torus is doubled.