Noise Induced Transitions

Author : W. Horsthemke,R. Lefever
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 47,9 Mb
Release : 2006-09-12
Category : Science
ISBN : 9783540368526

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Noise-Induced Transitions by W. Horsthemke,R. Lefever Pdf

The study of phase transitions is among the most fascinating fields in physics. Originally limited to transition phenomena in equilibrium systems, this field has outgrown its classical confines during the last two decades. The behavior of far from equilibrium systems has received more and more attention and has been an extremely active and productive subject of research for physicists, chemists and biologists. Their studies have brought about a more unified vision of the laws which govern self-organization processes of physico-chemical and biological sys tems. A major achievement has been the extension of the notion of phase transi tion to instabilities which occur only in open nonlinear systems. The notion of phase transition has been proven fruitful in apphcation to nonequilibrium ins- bihties known for about eight decades, like certain hydrodynamic instabilities, as well as in the case of the more recently discovered instabilities in quantum optical systems such as the laser, in chemical systems such as the Belousov-Zhabotinskii reaction and in biological systems. Even outside the realm of natural sciences, this notion is now used in economics and sociology. In this monograph we show that the notion of phase transition can be extend ed even further. It apphes also to a new class of transition phenomena which occur only in nonequilibrium systems subjected to a randomly fluctuating en vironment.

Author : Edward Abram Celarier
Publisher : Unknown
Page : 438 pages
File Size : 40,6 Mb
Release : 1986
Category : Electronic
ISBN : OCLC:221983302

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Noise-induced Transitions in Nonlinear, Dissipative Dynamical Systems by Edward Abram Celarier Pdf

Author : Alexei Zaikin
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:248842393

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Noise Induced Transitions and Resonant Effects in Nonlinear Systems by Alexei Zaikin Pdf

Author : Nils Berglund,Barbara Gentz
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 50,9 Mb
Release : 2006-02-07
Category : Mathematics
ISBN : 9781846281860

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems by Nils Berglund,Barbara Gentz Pdf

Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.

Author : Jordi Garcia-Ojalvo,Jose Sancho
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461215363

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Noise in Spatially Extended Systems by Jordi Garcia-Ojalvo,Jose Sancho Pdf

Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

Author : C. Vidal,A. Pacault
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642701962

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Non-Equilibrium Dynamics in Chemical Systems by C. Vidal,A. Pacault Pdf

Markedly apart from elementary particle physics, another current has been building up and cont i nuous ly growi ng within contemporary phys i cs for severa 1 decades, and even expanding into many other disciplines, especially chemistry, biology and, quite recently, economics. Several reasons account for this: presumably the most impor tant one lies in the fact that, whatever the specific problem, model or material concerned, the same basic mathematical features are always involved. In this way, a general phenomenology has emerged which, unlike thermodynamics, is no longer depen dent upon the details or specifics: what largely prevails is the nonlinear charac ter of the underlying dynamics. Perhaps we are witnessing the emergence of a "non linear physics"--In a way similar to the birth of "quantum physics" in the twen ties - a physics which deals with the general behaviour of systems, whatever they are or may be. Over the past fifteen years, chemical systems evolving sufficiently far from equilibrium have proved to be particularly well fitted to experimental research on nonlinear behaviour: oscillation, multistability, birhythmicity, chaotic evolution, spatial self-organization and hysteresis are displayed by chemical reactions whose number is growing each year. In this volume are collected the lectures, communica tions and posters (abstracts) presented at an international meeting entitled: "Non-Equilibrium Dynamics in Chemical Systems", held in Bordeaux (France), Septem ber 3 rd-lth, 1984.

Author : Luca Ridolfi,Paolo D'Odorico,Francesco Laio
Publisher : Cambridge University Press
Page : 327 pages
File Size : 55,7 Mb
Release : 2011-06-20
Category : Science
ISBN : 9781139498258

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Noise-Induced Phenomena in the Environmental Sciences by Luca Ridolfi,Paolo D'Odorico,Francesco Laio Pdf

Randomness is ubiquitous in nature. Random drivers are generally considered a source of disorder in environmental systems. However, the interaction between noise and nonlinear dynamics may lead to the emergence of a number of ordered behaviors (in time and space) that would not exist in the absence of noise. This counterintuitive effect of randomness may play a crucial role in environmental processes. For example, seemingly 'random' background events in the atmosphere can grow into larger instabilities that have great effects on weather patterns. This book presents the basics of the theory of stochastic calculus and its application to the study of noise-induced phenomena in environmental systems. It will be an invaluable reference text for ecologists, geoscientists and environmental engineers interested in the study of stochastic environmental dynamics.

Author : Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Publisher : Springer Nature
Page : 592 pages
File Size : 42,6 Mb
Release : 2020-01-29
Category : Science
ISBN : 9783030347130

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Nonlinear Dynamics of Structures, Systems and Devices by Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan Pdf

This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.

Author : D. Alistair Steyn-Ross,Moira Steyn-Ross
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 46,5 Mb
Release : 2010-03-14
Category : Medical
ISBN : 9781441907967

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Modeling Phase Transitions in the Brain by D. Alistair Steyn-Ross,Moira Steyn-Ross Pdf

Foreword by Walter J. Freeman. The induction of unconsciousness using anesthetic agents demonstrates that the cerebral cortex can operate in two very different behavioral modes: alert and responsive vs. unaware and quiescent. But the states of wakefulness and sleep are not single-neuron properties---they emerge as bulk properties of cooperating populations of neurons, with the switchover between states being similar to the physical change of phase observed when water freezes or ice melts. Some brain-state transitions, such as sleep cycling, anesthetic induction, epileptic seizure, are obvious and detected readily with a few EEG electrodes; others, such as the emergence of gamma rhythms during cognition, or the ultra-slow BOLD rhythms of relaxed free-association, are much more subtle. The unifying theme of this book is the notion that all of these bulk changes in brain behavior can be treated as phase transitions between distinct brain states. Modeling Phase Transitions in the Brain contains chapter contributions from leading researchers who apply state-space methods, network models, and biophysically-motivated continuum approaches to investigate a range of neuroscientifically relevant problems that include analysis of nonstationary EEG time-series; network topologies that limit epileptic spreading; saddle--node bifurcations for anesthesia, sleep-cycling, and the wake--sleep switch; prediction of dynamical and noise-induced spatiotemporal instabilities underlying BOLD, alpha-, and gamma-band Hopf oscillations, gap-junction-moderated Turing structures, and Hopf-Turing interactions leading to cortical waves.

Author : Jan A. Freund,Thorsten Pöschel
Publisher : Springer
Page : 512 pages
File Size : 45,8 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540453963

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Stochastic Processes in Physics, Chemistry, and Biology by Jan A. Freund,Thorsten Pöschel Pdf

The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.

Author : Shangbin Chen,Alexey Zaikin
Publisher : Springer Nature
Page : 246 pages
File Size : 45,6 Mb
Release : 2021-02-09
Category : Medical
ISBN : 9789813340336

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Quantitative Physiology by Shangbin Chen,Alexey Zaikin Pdf

Stephen Hawking says that the 21st century will be the century of complexity and indeed now systems biology or medicine means dealing with complexity. Both the genome and physiome have emerged in studying complex physiological systems. Computational and mathematical modeling has been regarded as an efficient tool to boost the understanding about living systems in normal or pathophysiological states. Covering applied methodology, basic case studies and complex applications, this volume provides researchers with an overview of modeling and computational studies of physiology (i.e. quantitative physiology), which is becoming an increasingly important branch of systems biology. This book aims to build multi-scale models to investigate functions in living systems and explain how biomolecules, cells, organs, organ systems and organisms carry out the chemical or physical functions. Some of the models addressed are related to gene expression, calcium signalling, neural activity, blood dynamics and bone mechanics. Combining theory and practice, with extensive use of MATLAB, this book is designed to establish a paradigm for quantitative physiology by integrating biology, mathematics, physics and informatics etc. To benefit from this book, the readers are expected to have a background in general physiology and mathematics

Author : Luca Ridolfi,Paolo D'Odorico,Francesco Laio
Publisher : Cambridge University Press
Page : 325 pages
File Size : 46,9 Mb
Release : 2018-03-01
Category : Science
ISBN : 1108446787

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Noise-Induced Phenomena in the Environmental Sciences by Luca Ridolfi,Paolo D'Odorico,Francesco Laio Pdf

Randomness is ubiquitous in nature. Random drivers are generally considered a source of disorder in environmental systems. However, the interaction between noise and nonlinear dynamics may lead to the emergence of a number of ordered behaviors (in time and space) that would not exist in the absence of noise. This counterintuitive effect of randomness may play a crucial role in environmental processes. For example, seemingly "random" background events in the atmosphere can grow into larger instabilities that have great effects on weather patterns. This book presents the basics of the theory of stochastic calculus and its application to the study of noise-induced phenomena in environmental systems. It will be an invaluable reference text for ecologists, geoscientists, and environmental engineers interested in the study of stochastic environmental dynamics.

Author : Alberto d'Onofrio
Publisher : Birkhäuser
Page : 0 pages
File Size : 46,9 Mb
Release : 2016-08-23
Category : Mathematics
ISBN : 1493952986

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Bounded Noises in Physics, Biology, and Engineering by Alberto d'Onofrio Pdf

​​Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volume devoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology, and mathematical physics. It gives an overview of the current state-of-the-art and is intended to stimulate further research. The volume is organized in four parts. The first part presents the main kinds of bounded noises and their applications in theoretical physics. The theory of bounded stochastic processes is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory from its physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one of the major areas of potential applications of this subject. The final part concerns the application of bounded stochastic processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian bounded noises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the point of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications. It will appeal to a broad range of applied mathematicians, mathematical biologists, physicists, engineers, and researchers in other fields interested in complexity theory. It is accessible to anyone with a working knowledge of stochastic modeling, from advanced undergraduates to senior researchers.

Author : Elka Korutcheva
Publisher : Nova Publishers
Page : 394 pages
File Size : 51,9 Mb
Release : 2004
Category : Condensed matter
ISBN : 1590338995

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Advances in Condensed Matter and Statistical Physics by Elka Korutcheva Pdf

This book collects recent results in systems whose evolutions are dominated by fluctuations, driven systems in which the way to dissipate driving forces is relevant, and systems in which disorder induces highly non-trivial dynamics leading naturally to questions of computational complexity. Topics of the 14 papers include multiplicative noise in non-equilibrium phase transitions, the stochastic population dynamics of spiking neurons, anomalous velocity distributions in elastic Maxwell gases, universality issues in surface kinetic roughening of thin solid films, and multi-state neural networks based upon spin glasses. Some of the chapters have appeared in the arXiv.org database. No information is given about the authors. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Author : Peter Gray,Université libre de Bruxelles,University of Leeds
Publisher : Manchester University Press
Page : 802 pages
File Size : 54,8 Mb
Release : 1990
Category : Chemical equilibrium
ISBN : 071902451X

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Spatial Inhomogeneities and Transient Behaviour in Chemical Kinetics by Peter Gray,Université libre de Bruxelles,University of Leeds Pdf

The results of an International Conference on [title] held in Brussels, Belgium, Aug./Sept. 1987, these papers deal with self-organization and nonlinear dynamics in chemistry, giving the results of recent experiments and bringing new emphasis on spatial inhomogeneities and dynamical phenomena in con"