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.
Singh
Thounaojam Umeshkanta
TU
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
Nandi
Amitabha
A
Ramaswamy
Ramakrishna
R