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1 Horsthemke, W Noise-Induced Transitions I02592 1984 eBook  
2 Arnold, L Stochastic Nonlinear Systems in Physics, Chemistry, and Biology I01956 1981 eBook  
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TitleNoise-Induced Transitions : Theory and Applications in Physics, Chemistry, and Biology
Author(s)Horsthemke, W;Lefever, R
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXVI, 322 p : online resource
Abstract NoteThis classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems
ISBN,Price9783540368526
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. BIOCHEMISTRY 4. Biochemistry, general 5. Chemometrics 6. COMPLEX SYSTEMS 7. DYNAMICAL SYSTEMS 8. EBOOK 9. EBOOK - SPRINGER 10. ENGINEERING MATHEMATICS 11. Math. Applications in Chemistry 12. QUANTUM OPTICS 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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I02592     On Shelf    

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TitleStochastic Nonlinear Systems in Physics, Chemistry, and Biology : Proceedings of the Workshop Bielefeld, Fed. Rep. of Germany, October 5???11, 1980
Author(s)Arnold, L;Lefever, R
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1981.
DescriptionVIII, 240 p : online resource
Abstract NoteThis book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch?? astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se?? ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) .............................
ISBN,Price9783642680380
Keyword(s)1. BIOCHEMISTRY 2. Biochemistry, general 3. Biological and Medical Physics, Biophysics 4. BIOLOGICAL PHYSICS 5. BIOPHYSICS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL PHYSICS 9. PHYSICAL CHEMISTRY 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. Theoretical, Mathematical and Computational Physics
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I01956     On Shelf    

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