dissipative system

"All biological systems which give patterns are dissipative systems," he said.

Dissipative systems are still an active field of research in systems and control, due to their important applications.

In particular, dissipative systems with continuous symmetries need not have a corresponding conservation law.

The experiment illustrates the theory of dissipative systems.

He has produced extensive research in elementary particles, field theory, high energy phenomenology and dissipative systems.

In the language of dissipative systems, we now stand at a bifurcation point, at a singular moment on the time line.

If a dissipative system has only one attractor, its behaviour as might not seem to depend very much on its initial conditions.

Ilya Prigogine, a systems scientist who helped formalize dissipative system behavior in general terms.

The language of wandering sets can be used to give a precise, mathematical definition to the concept of a dissipative system.

Critical exponents also exist for self organized criticality for dissipative systems.

The Lindblad superoperator is often used to express the quantum master equation for a dissipative system.

Such systems are called dissipative systems.

If you do not know politics, do you know the theory of dissipative systems far from equilibrium?"

They showed that such cyclic attractors exist in a class of nonlinear dissipative systems with certain symmetries.

Macroscopic potentials, bifurcations and noise in dissipative systems.

The existence of expanding and contracting directions is an essential prerequisite for chaotic behaviour in dissipative systems of this sort.

When a dynamical system has a wandering set of non-zero measure, then the system is a dissipative system.

Dissipative systems satisfy the inequality:

Nowadays, it is common to use the term dissipative solitons for solitary structures in strongly dissipative systems.

This realization has proceeded from, among other sources, a seminal concept of 'dissipative systems' offered by Ilya Prigogine.

This appears to exclude dissipative systems, as in a dissipative system a small region of phase space shrinks under time evolution.

Abstract mathematical tools used in the study of dissipative systems include definitions of mixing, wandering sets, and ergodic theory in general.

In dissipative systems, an invariant manifold based upon the gravest, longest lasting modes forms an effective low-dimensional, reduced, model of the dynamics.

One way of mathematically modeling a dissipative system is given in the article on wandering sets: it involves the action of a group on a measurable set.

Rather star evolution can be explained in terms of simple phase transitions, and stars themselves are simply large dissipative systems which are not currently engaged in fusion reactions.