Turing Instability Leads Oscillatory Systems to Spatiotemporal Chaos

Chaos and Spatiotemporal Chaos in Convective Systems

Much of early research on chaos from the viewpoint of physics was performed using spatially confined convective systems. In spatially extended convective systems, on the other hand, spatiotemporal chaos occurs. However, there is no unified definition for the term spatiotemporal chaos as for chaos. To unify definition, a property common to the three kinds of spatiotemporal chaos observed in elec...

Controlling spatiotemporal chaos in oscillatory reaction-diffusion systems by time-delay autosynchronization

Diffusion-induced turbulence in spatially extended oscillatory media near a supercritical Hopf bifurcation can be controlled by applying global time-delay autosynchronization. We consider the complex Ginzburg-Landau equation in the BenjaminFeir unstable regime and analytically investigate the stability of uniform oscillations depending on the feedback parameters. We show that a noninvasive stab...

From Turing instability to fractals

A generic criterion for the generation of spontaneous fractal patterns is proposed, which has independence with respect to system nonlinearity. We also report the first transverse spatial optical fractals found in dispersive and absorptive ring cavities, and our analysis is fully confirmed by numerical simulations. © 2007 Optical Society of America OCIS codes: (190.4400) Nonlinear Optics, Mater...

Spatiotemporal chaos.

Pattern Competition Leads to Chaos