ADVANCED SERIES IN NONLINEAR DYNAMICS – serie
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36 produkter
RENORMALISATION IN AREA-PRESERVING MAPS
Av R S MacKay
Inbunden, 1993
1351 kr
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This book is adapted and revised from the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems. How they work and …
RENORMALIZATION AND GEOMETRY IN ONE-DIMENSIONAL AND COMPLEX DYNAMICS
Inbunden, 1996
1115 kr
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About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way …
NEW TRENDS FOR HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS
Av ERNESTO A LACOMBA & JAUME LLIBRE, Ernesto A Lacomba m. fl.
Inbunden, 1996
2028 kr
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This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. …
POSITIVE TRANSFER OPERATORS AND DECAY OF CORRELATIONS
Inbunden, 2000
1481 kr
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Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant …
TOPICS IN BIFURCATION THEORY AND APPLICATIONS (2ND EDITION)
Av Gérard Iooss, Moritz Adelmeyer
Inbunden, 1999
778 kr
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This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields. It is centered on the theory of normal forms and its applications, including interaction with symmetries.The first part of the book reviews the center manifold reduction and introduces …
METHODS IN EQUIVARIANT BIFURCATIONS AND DYNAMICAL SYSTEMS
Av Pascal Chossat, Reiner Lauterbach
Inbunden, 2000
1556 kr
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This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical …
TIME REVERSIBILITY, COMPUTER SIMULATION, AND CHAOS
Inbunden, 1999
968 kr
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A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the author's approach to the problem of …
MICROSCOPIC CHAOS, FRACTALS AND TRANSPORT IN NONEQUILIBRIUM STATISTICAL MECHANICS
Inbunden, 2007
2643 kr
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A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.Understanding macroscopic …
GEOMETRICAL THEORY OF DYNAMICAL SYSTEMS AND FLUID FLOWS (REVISED EDITION)
Inbunden, 2009
1628 kr
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This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this …
GEOMETRY OF NONHOLONOMICALLY CONSTRAINED SYSTEMS
Av Richard Cushman, Hans Duistermaat m. fl.
Inbunden, 2009
2191 kr
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This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson …
TIME REVERSIBILITY, COMPUTER SIMULATION, ALGORITHMS, CHAOS (2ND EDITION)
Av William Graham Hoover, Carol Griswold Hoover
Inbunden, 2012
2120 kr
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A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of …
SIMULATION AND CONTROL OF CHAOTIC NONEQUILIBRIUM SYSTEMS: WITH A FOREWORD BY JULIEN CLINTON SPROTT
With a Foreword by Julien Clinton Sprott
Av William Graham Hoover, Carol Griswold Hoover
Inbunden, 2015
1074 kr
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This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by …
DYNAMICAL SYSTEMS: A COLLECTION OF PAPERS
Inbunden, 1991
3912 kr
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This volume consists of very high quality articles which not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
DYNAMICAL SYSTEMS: A COLLECTION OF PAPERS
Häftad, 1991
849 kr
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This volume consists of very high quality articles which not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
MATHEMATICAL PROBLEMS OF STATISTICAL MECHANICS
Av SINAI YA G, Ya G Sinai
Inbunden, 1993
2100 kr
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This volume consists of very high quality articles which may not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
MATHEMATICAL PROBLEMS OF STATISTICAL MECHANICS
Av SINAI YA G, Ya G Sinai
Häftad, 1993
994 kr
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This volume consists of very high quality articles which may not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.
SYMPLECTIC TWIST MAPS: GLOBAL VARIATIONAL TECHNIQUES
Inbunden, 2001
1191 kr
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This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest …
TOPICS IN BIFURCATION THEORY AND APPLICATIONS
Av Gérard Iooss, Moritz Adelmeyer
Inbunden, 1992
494 kr
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This textbook presents modern techniques of local bifurcation theory of vector fields. The first part reviews the Center Manifold theory and introduces a constructive approach of Normal Forms, with many examples. Basic bifurcations as saddle-node, pitchfork and Hopf are studied, together with …
COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE
Av Lluís Alsedà, Jaume Llibre m. fl.
Inbunden, 1993
1211 kr
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In last thirty years an explosion of interest in the study of nonlinear dynamical systems occured. The theory of one-dimensional dynamical systems has grown out in many directions. One of them has its roots in the Sharkovski0 Theorem. This beautiful theorem describes the possible sets of periods of …
HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS
Av J LLIBRE E A LACOMBA, E A Lacomba m. fl.
Inbunden, 1993
1226 kr
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This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. The papers presented in this volume are an outgrowth of the lectures that took place during the "International …
STRUCTURE AND DYNAMICS OF NONLINEAR WAVES IN FLUIDS: PROCEEDINGS OF THE IUTAM/ISIMM SYMPOSIUM
Av IRCHGASSNER KIRCHGASSNER A MIELKE, A Mielke m. fl.
Inbunden, 1995
2462 kr
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This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions. Nonlinear waves in fluids in particular display all the prominent …
RAYLEIGH-BENARD CONVECTION: STRUCTURES AND DYNAMICS
Av A V Getling
Inbunden, 1998
1266 kr
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This invaluable book presents a concise but systematic account of the formation of spatial flow structures in a horizontal fluid layer heated from below. Flows of this type, known as Rayleigh-Bénard convection, show important features of behaviour inherent not only in various …
TRANSPORT, CHAOS AND PLASMA PHYSICS 2
Av ELSKENS BENKADDAN ELSKENS F DOVEIL, S Benkadda m. fl.
Inbunden, 1996
2643 kr
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Since the early developments of "nonlinear science", plasma physics played a major role in its evolution: solitons, hamiltonian chaos, distinction between absolute and convective instabilities, and dynamics of coherent structures in turbulence. Understanding transport in plasmas is important for …
Wave Collapse
Av VLADIMIR E ZAKHAROV EUGENII A KUZNETSOV, Evgenii Alexandrovich Kuznetsov m. fl.
Inbunden, 2020
1646 kr
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Wave collapse is a formation of singularity arising in an initially smooth wave field due to nonlinearity. Self-focusing of light and breaking of seawaves are classical examples of such phenomena. Another conspicuous example is the collapse of Langmuir wave in plasma. This book offers a scientific …
INTEGRABILITY AND NONINTEGRABILITY OF DYNAMICAL SYSTEMS
Inbunden, 2001
2472 kr
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This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, …
LOCALIZATION AND SOLITARY WAVES IN SOLID MECHANICS
Av CHAMPNEYS A R, A R Champneys m. fl.
Inbunden, 1999
2281 kr
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This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical …
COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE (2ND EDITION)
Av Lluís Alsedà, Jaume Llibre m. fl.
Inbunden, 2000
1735 kr
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This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was …
TOPICS IN NONLINEAR TIME SERIES ANALYSIS, WITH IMPLICATIONS FOR EEG ANALYSIS
Inbunden, 2000
2100 kr
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This book provides a thorough review of a class of powerful algorithms for the numerical analysis of complex time series data which were obtained from dynamical systems. These algorithms are based on the concept of state space representations of the underlying dynamics, as introduced by nonlinear …
COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE
Av Lluís Alsedà, Jaume Llibre m. fl.
Häftad, 1993
740 kr
Tillfälligt slut
In last thirty years an explosion of interest in the study of nonlinear dynamical systems occured. The theory of one-dimensional dynamical systems has grown out in many directions. One of them has its roots in the Sharkovski0 Theorem. This beautiful theorem describes the possible sets of periods of …
MATHEMATICAL THEORY OF PERMANENT PROGRESSIVE WATER-WAVES, THE
Av Hisashi Okamoto, Mayumi Shõji
Inbunden, 2001
1030 kr
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This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and …
