TY  - JOUR
A1  - Turukina, L. V.
A1  - Pikovskij, Arkadij
T1  - Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators
JF  - Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics
N2  - We show that a hyperbolic chaos can be observed in resonantly coupled oscillators near a Hopf bifurcation, described by normal-form-type equations for complex amplitudes. The simplest example consists of four oscillators, comprising two alternatively activated, due to an external periodic modulation, pairs. In terms of the stroboscopic Poincare map, the phase differences change according to an expanding Bernoulli map that depends on the coupling type. Several examples of hyperbolic chaos for different types of coupling are illustrated numerically.
KW  - Coupled oscillators
KW  - Hyperbolic chaos
Y1  - 2011
U6  - https://doi.org/10.1016/j.physleta.2011.02.017
SN  - 0375-9601
VL  - 375
IS  - 11
SP  - 1407
EP  - 1411
PB  - Elsevier
CY  - Amsterdam
ER  -