Conditions for nonlocal existence of a continuous storage function for nonlinear dissipative system are presented. More precisely, it is shown that under the local ω-uniform reachability assumption at one point x∗ the required supply function is continuous on the set of points reachable from x∗. Conditions for the local ωuniform reachability based on the local controllability properties of the ...

The problem of existence of continuous storage functions for dissipative nonlinear systems is considered. It is shown that, if a nonlinear system is dissipative in the state x∗, then, under certain assumptions, a continuous storage function can be constructed on a set of points accessible from x∗ by concatenation of a finite number of forward and backward motions of the system. Most of these as...

We consider a class of ordinary differential equations describing one-dimensional quasiperiodically forced systems in the presence of large damping. We give a fully constructive proof of the existence of response solutions, that is quasi-periodic solutions which have the same frequency vector as the forcing. This requires dealing with a degenerate implicit function equation: we prove that the l...

Bénard convection, is one of the more intensely studied dissipative systems, both theoretically and empirically. It is therefore a useful starting point for discussing the properties of dissipative structures and developing an analogy between such structures and development and evolution. Both the simplifications involved in the Bénard cells and the possibilities that are nonetheless allowed ar...

The effects of dissipative heating on hurricane intensity are examined using a 72-h explicit simulation of Hurricane Andrew (1992) with a state-of-the-art, three-dimensional, nonhydrostatic mesoscale (cloud resolving) model (i.e., MM5). It is found that the inclusion of dissipative heating increases the central pressure deficit of the storm by 5–7 hPa and its maximum surface wind by about 10% p...

Friction and wear, often treated as unrelated, distinct phenomena, are manifestations of the same dissipative physical processes occurring at sliding interfaces. Friction force dissipates power and generates entropy. Wear irreversibly changes a material structure, often with loss of material. Associated with both friction and wear is production of irreversible entropy by interfacial dissipative...

Abstract Conditions are investigated for systems of the form Mz’ N+Az + y(z), where y is quadratic, which lield a point dissipative system. Application of the conditions are made to the problem of ezistence of linear feedback controls u Kz for systems of the form Mz’= N + A= + y(=) + Bu which force the system to be point dissipative. The basic results have eztensions to more general classes of ...

Metals are used in a variety of ways, many of which lead to dissipative releases to the environment. Such releases are relevant from both a resource use and an environmental impact perspective. We present a historical analysis of copper dissipative releases in the United States from 1975 to 2000. We situate all dissipative releases in copper's life cycle and introduce a conceptual framework by ...

We use Monte Carlo simulations to study chains of Isingand XY-spins with dissipation coupling to the site variables. The phase diagram and critical exponents of the dissipative Ising chain in a transverse magnetic field have been computed previously, and here we consider a universal ratio of susceptibilities. We furthermore present the phase diagram and exponents of the dissipative XY-chain, wh...