Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

Different transient-chaos related phenomena of spatiotemporal systems are reviewed.
Special attention is paid to cases where spatiotemporal chaos appears in the form of chaotic …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

The human eye is bored by monotonous landscapes. We are depressed by gray skies,
unending plains under the wing of an airliner, featureless urban sprawl, geometric …

By using the isometric decomposition to the frequency spaces, we will introduce a new class
of function spaces Ep, qλ, which is a subspace of Gevrey 1-class G1 (Rn)⊂ C∞(Rn) for λ> 0 …

After a brief introduction to the complex Ginzburgh-Landau equation, some of its important
features in two space dimensions are reviewed. A comprehensive study of the various …

A reference and text, Dissipative Phenomena treats the broadly applicable area of
nonequilibrium statistical physics and concentrates the modelling and characterization of …

Unpredictable patterns generated by cellular automata (CA) can be decomposed with
respect to a turbulent, positive entropy rate pattern basis. The resulting filtered patterns …

The transition between rotating spirals and spatiotemporal chaos (“spiral turbulence”) in an
excitable reaction-diffusion system is investigated by means of statistics of topological …

We study, theoretically and numerically, the onset and development of modulational
instability in an incoherently pumped spatially homogeneous polariton condensate. Within …