Emergence of quasiperiodicity in symmetrically coupled, identical period-doubling systems

Emergence of quasiperiodicity in symmetrically coupled, identical period-doubling systems.

Period-Doubling Cascades and Mode Interactions in Coupled Systems

The study of the asymptotic behavior of nonautonomous linear systems arising from linearization around chaotic orbits offers good prospects for understanding complex nonlinear dynamics. Knowledge of the Lyapunov exponents (and other stability spectra) plays a central role in this context and several computational techniques have been established to address the problem in finite dimension, i.e. ...

Multistability and Transient Processes in Coupled Period Doubling Systems

Basins of attraction and transient processes are experimentally and numerically investigated for the coupled period doubling systems. The influence of bifurcattion of the unstable point on the transient phenomenas is shown. The results of experimental and numerical investigations quolitatively coincide. 1.Introduction. Coexistence of two or more attractors with their basins of attraction in pha...

Universality of period doubling in coupled maps.

We study the critical behavior of period doubling in two coupled onedimensional maps with a single maximum of order z. In particurlar, the effect of the maximum-order z on the critical behavior associated with coupling is investigated by a renormalization method. There exist three fixed maps of the period-doubling renormalization operator. For a fixed map associated with the critical behavior a...

Critical behavior of period doubling in coupled area-preserving maps.

We study the critical behavior of period doublings in N symmetrically coupled area-preserving maps for many-coupled cases withN > 3. It is found that the critical scaling behaviors depend on the range of coupling interaction. In the extreme long-range case of global coupling, in which each area-preserving map is coupled to all the other area-preserving maps with equal strength, there exist an i...