Landau–Hopf scenario in the ensemble of interacting oscillators
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 5, pp. 863-873
pdf (578.41 Kb)
The conditions are discussed for which the ensemble of interacting oscillators may demonstrate Landau–Hopf scenario of successive birth of multi-frequency regimes. A model is proposed in the form of a network of five globally coupled oscillators, characterized by varying degree of excitement of individual oscillators. Illustrations are given for the birth of the tori of increasing dimension by successive quasi-periodic Hopf bifurcation.