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Author: Franco Flandoli Publisher: Springer Science & Business Media ISBN: 3642182305 Category : Mathematics Languages : en Pages : 187
Book Description
This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.
Author: Franco Flandoli Publisher: Springer Science & Business Media ISBN: 3642182305 Category : Mathematics Languages : en Pages : 187
Book Description
This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.
Author: Stefan Teufel Publisher: Springer Science & Business Media ISBN: 9783540407232 Category : Perturbation (Quantum dynamics) Languages : en Pages : 248
Author: Fritz Colonius Publisher: Springer Science & Business Media ISBN: 1461213509 Category : Mathematics Languages : en Pages : 632
Book Description
This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.
Author: Giampaolo Cicogna Publisher: Springer Science & Business Media ISBN: 354048874X Category : Science Languages : en Pages : 218
Book Description
has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.
Author: M. I. Freidlin Publisher: Springer Science & Business Media ISBN: 1468401769 Category : Mathematics Languages : en Pages : 334
Book Description
Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes.
Author: Yuri Kifer Publisher: Springer Science & Business Media ISBN: 1461581818 Category : Mathematics Languages : en Pages : 301
Book Description
Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative theory of ordinary differential equations commonly known nowdays as the theory of dynamical systems. Since physical processes are usually affected by an enormous number of small external fluctuations whose resulting action would be natural to consider as random, the stability of dynamical systems with respect to random perturbations comes into the picture. There are differences between the study of stability properties of single trajectories, i. e. , the Lyapunov stability, and the global stability of dynamical systems. The stochastic Lyapunov stability was dealt with in Hasminskii [Has]. In this book we are concerned mainly with questions of global stability in the presence of noise which can be described as recovering parameters of dynamical systems from the study of their random perturbations. The parameters which is possible to obtain in this way can be considered as stable under random perturbations, and so having physical sense. -1- Our set up is the following.
Author: Helmut Wiedemann Publisher: Springer Science & Business Media ISBN: 3662038277 Category : Science Languages : en Pages : 465
Book Description
In this second edition of Particle Accelerator Physics, Vol. 1, is mainly a reprint of the first edition without significant changes in content. The bibliography has been updated to include more recent progress in the field of particle accelerators. With the help of many observant readers a number of misprints and errors could be eliminated. The author would like to express his sincere appreciation to all those who have pointed out such shortcomings and wel comes such information and any other relevant information in the future. The author would also like to express his special thanks to the editor Dr. Helmut Lotsch and his staff for editorial as well as technical advice and support which contributed greatly to the broad acceptance of this text and made a second edition of both volumes necessary. Palo Alto, California Helmut Wiedemann November 1998 VII Preface to the First Edition The purpose of this textbook is to provide a comprehensive introduction into the physics of particle accelerators and particle beam dynamics. Parti cle accelerators have become important research tools in high energy physics as well as sources of incoherent and coherent radiation from the far infra red to hard x-rays for basic and applied research. During years of teaching accelerator physics it became clear that the single most annoying obstacle to get introduced into the field is the absence of a suitable textbook.
Author: Daniel Oro Publisher: Oxford University Press, USA ISBN: 0198849834 Category : Nature Languages : en Pages : 165
Book Description
This novel, transdisciplinary work explains how perturbations (defined as strong disturbances or deviations to a system) can affect the population dynamics of social animals, including ourselves. Social responses to perturbations, especially dispersal processes, can also generate non-linear population dynamics, including the potential appearance of tipping points and critical population transitions, which can in turn lead to catastrophic shifts and collapses. The book describes the links between social behaviour (mainly the use of social information and social copying), and non-linear population dynamics at different spatial scales (local dynamics and meta-population dynamics), and their ecological and evolutionary consequences. Examples from the natural world illustrate each of the main themes (prospecting, habitat suitability, collective dispersal, and cultural evolution). Human warfare and conflict, referred to in several chapters together with quantitative and qualitative examples, is also viewed as a form of perturbation and represents a paradigmatic example of the rationale behind this book. This applicability to our own species is particularly timely, given increased interest in both ecosystem change, human migration, and the global refugee crisis. Perturbation, Behavioural Feedbacks, and Population Dynamics in Social Animals will appeal to applied, theoretical, and evolutionary ecologists, particularly those working on the population and behavioural ecology of any social animal including humans. Its overlap with the study of complexity will also ensure its relevance and use to scientists from other disciplines such as sociology, anthropology, physics, computational science, economics, and mathematics.
Author: Franco Flandoli
Author: Franco Flandoli
Author: Stefan Teufel
Author: Ferdinand Verhulst
Author: Fritz Colonius
Author: Giampaolo Cicogna
Author: M. I. Freidlin
Author: Yuri Kifer
Author: Helmut Wiedemann
Author: Daniel Oro
Author: Milton Van Dyke