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# Topic: Dissipative system

###### In the News (Thu 20 Jun 19)

 Dissipation - Wikipedia, the free encyclopedia In physics, dissipation embodies the concept of a dynamical system where important mechanical modes, such as waves or oscillations, lose energy over time, typically due to the action of friction or turbulence. The precise nature of the effects depends on the nature of the wave: an atmospheric wave, for instance, may dissipate close to the surface due to friction with the land mass, and at higher levels due to radiative cooling. A formal, mathematical definition of dissipation, as commonly used in the mathematical study of measure-preserving dynamical systems, is given in the article wandering set. en.wikipedia.org /wiki/Dissipative   (221 words)

 Dissipative system - Wikipedia, the free encyclopedia A dissipative system (or dissipative structure) is an open system which is operating far from thermodynamic equilibrium within an environment that exchanges energy, matter or entropy. A dissipative system is characterized by the spontaneous appearance of a complex, sometimes chaotic, structure. A formal, mathematical definition of a dissipative system as the action of a group on a measurable set is given in the article on wandering sets. en.wikipedia.org /wiki/Dissipative_system   (217 words)

 Symbiosis   (Site not responding. Last check: 2007-10-08) All systems that exhibit disequilibrium and self-organization are dissipative and have a dissipative structure (Briggs and Peat, 1989, p. Dissipative structures are those which are able to maintain identity only because they are open to flows of energy, matter, or information from their environments (Prigogine and Stengers, 1984). Dissipative systems operate in a phase space, much like conservative systems, but usually have an infinite number of dimensions in which the various properties are distributed in space. www.schuelers.com /chaos/chaos5.htm   (4571 words)

 Fisika & Psichica Dissipative systems are those which are able to maintain identity only because they are open to flows of energy, matter, or information from their environments (Prigogine and Stengers, 1984). A dissipative structure refers to the structure of an open system in which energy is added to the system in order to decrease entropy and maintain stability (Prigogine and Stengers, 1984, p. A bifurcation is a crisis point in the life of a system, in which the future of that system is uncertain. www.psicopolis.com /fisikepsic/orderchaos.htm   (5658 words)

 Conservation Ecology: Infodynamics, a developmental framework for ecology/economics Dissipative structures do the same by degrading energy gradients during growth and homeostasis in such a way as to produce entropy to an extent that is correlated with the rate at which they dissipate the gradients. Consequently, systems grow because they are linked to energy gradients in such a way that some of the energy, i.e., the exergy, in those gradients is transferred to these systems when they harness the resulting energy flow during their formation. This system resilience is the tactic an ecosystem uses to escape from senescence and is comparable to the organism's tactic of reproduction and death. www.ecologyandsociety.org /vol7/iss3/art3/main.html   (9367 words)

 Human Brain & Psyche All systems that exhibit disequilibrium and self-organization are dissipative and have a dissipative structure (Briggs and Peat, 1989). Systems damped by friction, and driven by some kind of energy input, while appearing to be at an equilibrium state, are not really at equilibrium at all. For open systems, where the entropy change due to the environment is sufficiently negative that it exceeds the magnitude of the internal entropy of the system, then entropy will decrease (order will increase) over time during the process. www.schuelers.com /chaos/chaos8.htm   (6039 words)

 Autopoiesis   (Site not responding. Last check: 2007-10-08) Ilya Prigogine's theory of dissipative structures explained how living systems maintain their order - their stable structure - in the face of a constant flux of matter and energy passing through them by dissipating entropy to their environment. Prigogine's theory of dissipative structures redirected the science of thermodynamics from linear, equilibrium systems (which are extremely boring) to nonlinear, non-equilibrium systems (of which you are one). In complexity,life is as an emergent property of a system. www.prototista.org /E-Zine/Autopoiesis.htm   (1218 words)

 Quantum Brain Dissipative quantum dynamics of the brain: In this section the quantum model of the brain proposed by Ricciardi and Umezawa is extended to dissipative dynamics by resorting to some results on dissipative systems in QFT[2,27,28]. In the present dissipative case the "brain (ground) state" may be represented as the collection (or the superposition) of the full set of memory states.... Dissipation, which is intrinsic to the brain dynamics, is recognized to be the root of such a complexity, namely of the huge memory capacity. www.qedcorp.com /pcr/pcr/qbrain.html   (5248 words)

 M.Schwartz: Chaotic Systems and Blake's Mythology   (Site not responding. Last check: 2007-10-08) As with other chaotic systems, dissipative structures derive an internal order from their instability, and it is by means of their constant lapsing into disorder and rebounding into organization that they "evolve," proceeding toward some unimaginably complicated yet structured end, despite the efforts of the supposedly-dominant force of entropy. The dissipation of energy produces not entropic chaos or heat-death but order, as evolution brings life forms to a more ordered state rather than a more homogeneous one, and an influx of outside influences is required for the system to evolve. Dissipative structures must also, according to Prigogine, "fluctuate nonlinearly." "That is, the amount of energy, matter, and information they contain at any future moment will be unpredictable (they follow nonlinear differential equations that are usually difficult to solve and which describe behaviors impossible to predict)" (Porush 290). prometheus.cc.emory.edu /panels/3A/M.Schwartz.html   (3069 words)

 [No title] Dissipative systems are recognized in complexity and chaos theory as important examples of systems involving complicated yet deterministic interaction between agents. Dissipative systems are open to environmental influences and undergo real change and restructuring based on inherent stabilites. He elaborated:...provided the laws which govern a chaotic system are known, the greater the temporal distance between initial (and intervening) conditions on the one hand and the event to be explained on the other, the greater the accuracy with which those conditions must be known. www.virtualschool.edu /mon/Economics/EvolutionPublicPolicyThesis   (18725 words)

 Dissipative systems   (Site not responding. Last check: 2007-10-08) A Hamiltonian system is conservative: certain physical properties of the system remain constant in time. And unlike Hamiltonian systems, for a dissipative system the phase space volume does not remain constant as the system develops in time. As the dissipative system evolves in time, the trajectory in phase space heads for some final phase space point, curve or a fractal region: an attractor of the system. home.broadpark.no /~aklepp/astri/thesis/node22.html   (220 words)

 What SYStems Does Define a finite-gain dissipative system to be a system for which Then a system is e-dissipative if and only if e is a storage function for the system. Using this background, we may study dissipativeness of systems by examining the non-positiveness of Hamiltonians. math.ucsd.edu /~ncalg/NCBIGDOC02/node605.html   (485 words)

 Sustainability through the Dynamics of Strategic Dilemmas: in the light of the coherence and visual form of the ... Dissipative systems, and the M-set, offer a language through which to explore and identify viable patterns of sustainable relationship between essentially incompatible modes of behaviour or anti-thetical modes of thinking. A dissipative system is when there are two different orders or ordering mechanisms that are out of balance with each other so that one ordering mechanism is disordering the other and creating a boundary between the two ordering mechanisms where one is dominant and the other is being dominated. Dissipative systems have an interface between their two orderings (that of the system and that of the environment) which is very complicated. www.laetusinpraesens.org /docs00s/cardrep.php   (11719 words)

 Citebase - Exact Dynamics of Quantum Dissipative System in Constant External Field Authors: P, C. Yu, L. The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field, is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. Quantizing the dissipative system we obtain the simple and exact solutions for the coordinate operator of the system in Heisenberg picture and the wave function of the composite system of system and bath in Schroedinger picture. An effective Hamiltonian for the dissipative system is explicitly derived from these solutions with Heisenberg picture method and thereby the meaning of the wavefunction governed by it is clarified by analyzing the effect of the Brownian motion. citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9306124   (387 words)

 Nonlinear Science FAQ   (Site not responding. Last check: 2007-10-08) In the study of dissipative systems the term "degree of freedom" is often used differently, to mean a single coordinate dimension of the phase space. System: Requires Windows 95, at least 256 colours Available : http://www.fssc.demon.co.uk/rdiffusion/ilya.htm INSITE (It's a Nonlinear Systems Investigative Toolkit for Everyone) is a collection for the simulation and characterization of dynamical systems, with an emphasis on chaotic systems. System: Comes as C source, Fortran source, PC executable, etc Available: http://www.cooper.edu/engineering/physics/wolf/ (Seems to be missing?) Lyapunov Exponents and Time Series Michael Banbrook's C codes for Lyapunov exponents and time series analysis System: Sun with X windows. www.faqs.org /faqs/sci/nonlinear-faq   (11547 words)

 Ross Mayfield's Weblog The Blogosphere can be thought of as a dissipative system for dealing with a strong information gradient. Instead of being conducted from first hand source to gatekeeper to audience, information in the Blogosphere is capable of traveling directly from the source to the audience - eliminating the limiting factor in the information transfer. This systemic approach is highly complementary to the Ecosystem of Networks model at the Political Network layer and Joi's Emergent Democracy paper. radio.weblogs.com /0114726/categories/systemEconomics/2003/02/28.html   (251 words)

 Levels of Major Complexity In the natural world, galaxies, star systems with planets, and the earth are the most readily observable examples of massive dissipative structures with multiple levels of complexity. There are also higher-level dissipative structures that have been hypothesized, such as Gaia [12], Hypersea (``organismal entity'' that extended life onto land) [13], and Metaman (global mankind with electronic communication as ``organismal entity'') [19] that will be useful in understanding the evolution of complexity. For example, in the solar system, most of the matter in interplanetary space and the Ort cloud is in the form of atoms and is frozen and relatively inactive. users.viawest.net /~keirsey/node3.html   (2179 words)

 CCSR Research For systems with fold dynamics, like the Logistic map and Rossler attractor, this strategy results in the ability to describe the most likely trajectory and extend meaningful prediction. We are interested in what patterns of forcing (subject to various constraints) cause this system to have a dynamical trajectory that is the most different from the original unforced trajectory, i.e. Specifically, we are performing experiments on an electromechanical open dissipative system, using macroscopic conducting particles, which relaxes into a branched network. www.ccsr.uiuc.edu /web/Research.html   (1005 words)

 List of dynamical system and differ... - Wikipedia, the free encyclopedia Start the List of dynamical system and differ... Search for List of dynamical system and differ... Look for List of dynamical system and differ... www.sciencedaily.com /encyclopedia/list_of_dynamical_system_and_differ...   (156 words)

 The Web of Life   (Site not responding. Last check: 2007-10-08) 98 "Maturana and Varela emphasize that the system's organization is independent of the properties of its components, and that a given organization can be embodied in many different manners by many different kinds of components." the behavior of a dissipative system far from equilibrium no longer follows any universal law but is unique to the system." 189 "According to Prigogine, dissipative structures are islands of order in a sea of disorder, maintaining and even increasing their order at the expense of greater disorder in their environment." home.att.net /~leefrank/booknots/book045.html   (353 words)

 Path Integration Literature   (Site not responding. Last check: 2007-10-08) Caldeira and A. Leggett, "Quantum Tunnelling in a Dissipative System," Ann. Caldeira and A. Leggett, "Influence of Dissipation on Quantum Tunneling in Macroscopic Systems," Phys. Feynmann and F. Vernon, "The theory of a general quantum system interacting with a linear dissipative system," Ann. www.eg.bucknell.edu /~dcollins/research/pathint.html   (130 words)

 [No title] At that time my intention was to write a research monograph with focus on the input--output theory of systems and its connection with robust control, including a thorough discussion of passivity and dissipativity of systems. Autonomous systems are discussed in Chapter 3 and nonautonomous systems in Chapter 4. Passive systems are studied first in Chapter 8, along with some of the most important results that derive from this concept. www.ece.ualberta.ca /~marquez/nlbook.html   (1056 words)

 ESD CRU   (Site not responding. Last check: 2007-10-08) ESD CRU SYSTEM may be installed over existing coatings that are well-bonded and properly prepared. After the floor has completely dried, sand or screen the existing coating until a powdery residue is evident and all gloss is removed. NOTE: To ensure compatibility and adhesion of FLOROCK ESD Systems with existing coating, a test patch should be approved and used as the job standard. www.florock.net /techdata/ESDCRU.html   (1469 words)

 A piecewise-conserved constant of motion for a dissipative system A piecewise-conserved constant of motion for a dissipative system The system is a harmonic oscillator with sliding (dry) friction. The piecewise-conserved constant of motion corresponds to the time average of the energy of the system during one half-period of the motion, and changes abruptly at the turning points of the motion. stacks.iop.org /0143-0807/20/281   (235 words)

 Exponential Attractors for a Partially Dissipative Reaction System - Fabrie, Galusinski (ResearchIndex)   (Site not responding. Last check: 2007-10-08) In a previous work, M. Marion[13] has shown the existence of a global attractor with finite fractal dimension and the existence of inertial manifolds with finite dimension in the direction of the dissipative variable and infinite dimension in the direction of the non dissipative variable [16]. Fabrie, C. Galusinski, Exponential attractors for partially dissipative reaction systems, to appear in Asymptotic Analysis. 22 Positively invariant regions for systems of nonlinear diffus.. citeseer.ist.psu.edu /432409.html   (357 words)

 STATIC DISSIPATIVE MORTAR SYSTEM Liquid applied multi-layer epoxy Coating system appropriate for either static dissipative or conductive flooring applications. General Polymers ESD/Conductive Epoxy Flooring Systems can be formulated to meet requirements in conductive or dissipative range. Although NFPA and DOD specs can be used to specify the system herein described, it is recommended that the ESD S.7.1-1994 standard be used. www.generalpolymers.com /products/esd_coat.htm   (1062 words)

 Bénard Cells: A Model Dissipative System (ResearchIndex)   (Site not responding. Last check: 2007-10-08) Abstract: BĂ©nard 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. We will present some positive and negative analogies with more complex systems, and give... citeseer.ist.psu.edu /448948.html   (283 words)

 Online Focus --> Info and Comparisons   (Site not responding. Last check: 2007-10-08) I removed this in the hopes someone would be encouraged to rewrite it: A kind of attractor with complex exponent that suggests oscillatory behavior of the dissipative system before reaching equilibrium. For more meanings of the word Focus, see Focus.'' FOCUS is a software product of Information Builders Inc. Originally developed for data handling and analysis on the IBM mainframe, as newer systems were developed and smaller computers became more powerful, the available platforms for FOCUS were extended all the way down to personal computers. This allows the user/programmer to concentrate on the details of working with the data within each record, in effect working almost entirely within an implicit program loop that runs for each record. www.crashdatabase.com /computers/105/online-focus.html   (1690 words)

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