Basin bifurcations in quasiperiodically forced coupled systems.
We study the effect of quasiperiodic forcing on a system of coupled identical logistic maps. Upon a variation of system parameters, a variety of different dynamical regimes can be observed, including phenomena such as bistability and multistability. At the bifurcation to bistability, in a manner reminiscent of attractor expansion at interior crises, there is an abrupt change in the size of attractor basins. In the bistable region, attractor basins undergo additional bifurcations wherein holes and islands are created within the basins when system parameters change. These can be understood by examining critical surfaces for the coupled system.
Shrimali
Manish Dev
MD
Department of Physics, Dayanand College, Ajmer 305 001, India and School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
Prasad
Awadhesh
A
Ramaswamy
Ram
R
Feudel
Ulrike
U