شماره ركورد كنفرانس :
4036
عنوان مقاله :
Synchronisation and Chaos for a Stochastically Driven Limit Cycle
پديدآورندگان :
Engel Maximilian maximilian.engel13@imperial.ac.uk Imperial College London , Jeroen Lamb S.W. - Imperial College London , Rasmussen Martin Department of Mathematics, Imperial College London, South Kensington Campus, London
كليدواژه :
Positive Lyapunov exponents , stochastic bifurcation , shear , induced chaos , random dynamical systems , synchronisation
عنوان كنفرانس :
معادلات ديفرانسيل و سيستم هاي ديناميكي
چكيده فارسي :
We establish the existence of a bifurcation from an attractive random equilibrium implying
synchronisation of trajectories to shear-induced chaos for a stochastically driven limit cycle,
indicated by a change of sign of the first Lyapunov exponent. This addresses an open problem
posed by L.S. Young and coworkers, extending their results on periodically kicked limit cycles
to the stochastic context
