Scenarios for generalized synchronization with chaotic driving.
In chaotically driven nonlinear dynamical systems, weak generalized synchrony can arise through distinct scenarios or routes in a manner similar to the onset of low-dimensional chaos or the creation of strange nonchaotic attractors in quasiperiodically driven systems. The limit sets of the dynamics for weak generalized synchronization are nonchaotic-the Lyapunov exponent is nonpositive-and are geometrically strange. Quantitative measures related to the parameter sensitivity exponent and finite-time Lyapunov exponent distributions can be defined in order to characterize generalized synchronization.
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
Thounaojam Umeshkanta
TU
Singh
Amitabha
A
Nandi
Ramakrishna
R
Ramaswamy