Sa. Vakulenko, A SYSTEM OF COUPLED OSCILLATORS CAN HAVE ARBITRARY PRESCRIBED ATTRACTORS, Journal of physics. A, mathematical and general, 27(7), 1994, pp. 2335-2349
A system of coupled nonlinear oscillators is considered. If the size N
of this oscillator network is large enough, then the model can have a
rbitrary prescribed attractors which can be defined by some finite-dim
ensional flows. One can effectively find a simple interaction between
the oscillators which gives these prescribed attractors.