The Bifurcation of the Self

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Publisher : Springer Science & Business Media
ISBN 13 : 0387274146
Total Pages : 314 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Bifurcation of the Self by : Robert W. Rieber

Download or read book The Bifurcation of the Self written by Robert W. Rieber and published by Springer Science & Business Media. This book was released on 2006-08-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses case history methodology to illustrate the relationship between theory and practice of the study of Dissociation Identity Disorder (DID). Challenging conventional wisdom on all sides, the book traces the clinical and social history of dissociation in a provocative examination of this widely debated phenomenon. It reviews the current state of DID-related controversy so that readers may draw their own conclusions and examines the evolution of hypnosis and the ways it has been used and misused in the treatment of cases with DID. The book is rigorously illustrated with two centuries’ worth of famous cases.

Bifurcation Theory of Functional Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461469929
Total Pages : 295 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Bifurcation Theory of Functional Differential Equations by : Shangjiang Guo

Download or read book Bifurcation Theory of Functional Differential Equations written by Shangjiang Guo and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

Singularities, Bifurcations and Catastrophes

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Publisher : Cambridge University Press
ISBN 13 : 1009064398
Total Pages : 450 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Singularities, Bifurcations and Catastrophes by : James Montaldi

Download or read book Singularities, Bifurcations and Catastrophes written by James Montaldi and published by Cambridge University Press. This book was released on 2021-06-24 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author's own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provided.

Global Bifurcation of Periodic Solutions with Symmetry

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Publisher : Springer
ISBN 13 : 3540391509
Total Pages : 151 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Global Bifurcation of Periodic Solutions with Symmetry by : Bernold Fiedler

Download or read book Global Bifurcation of Periodic Solutions with Symmetry written by Bernold Fiedler and published by Springer. This book was released on 2006-11-14 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.

Complexity of the Self

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Publisher : Guilford Press
ISBN 13 : 9780898620122
Total Pages : 270 pages
Book Rating : 4.6/5 (21 download)

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Book Synopsis Complexity of the Self by : V. F. Guidano

Download or read book Complexity of the Self written by V. F. Guidano and published by Guilford Press. This book was released on 1987-05-09 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this profound work, Vittorio Guidano expands upon his earlier seminal contributions on the application of cognitive and developmental principles to individuals struggling with various forms of psychopathology. Here, he fully develops the idea that individuals' experience, both positive and negative, are powerfully influenced by their personal ``psychological organizations.'Focusing primarily on the eating disorders, the phobias (with agoraphobia as the prototype) obsessive-compulsive patterns, and depression, Guidano illustrates how early developmental experiences and ongoing psychological processes may collude to perpetuate dysfunctional patterns and personal distress. The central and perhaps most exciting thesis in this new expression of Guidano's thinking is that the ``deep structure' or ``core organizing processes`` that constrain human psychological experience may be at the heart of successful intervention as well as the classical problems of resistance, relapse, and refractory behaviors. Guidano's contention is at once simple and powerful: those psychological processes involved in the development and maintenance of personal identity, or ``self' that should be the primary foci of research and intervention in psychological disorders. The meaning of Guidano's perspective for clinical practice is perhaps best expressed in the author's own words: ``Knowing the basic elements of the personal cognitive organization that underlie the pattern of disturbed behavior and emotions, the therapist can behave, from the beginning, in such a way as to build a relationship as effective as possible for that particular client. In other words, the therapist should be able to establish a relationship that respects the client's personal identity and systemic coherence and that, at the same time, does not confirm the basic pathogenic assumptions. For example, in working with agoraphobics, the therapist has to respect their self-images centered on the need to be in control. He/she can do this by avoiding any direct attack on their controlling attitudes and by leaving them a wide margin of control in the relationship. At the same time the therapist should avoid confirming their assumptions about the somatic origin of their emotional disturbances or about their inborn fragility. In short, the therapist who can anticipate the models of self and reality tacitly entertained by the client is surely better able to help the development of a cooperative and secure therapeutic relationship than the therapist who cannot make such anticipations. This timely and provocative volume offers exciting new ideas about how to conceptualize and facilitate change in the ``self system.' With the rare combination of his Renaissance intellect and integrative practical expertise, Guidano has been able to draw together many disparate themes from object relations theory, ego psychology, attachment theory, constructivist models of human cognition, and lifespan developmental psychology. It is must reading for the practicing professional, the helping apprentice, and anyone interested in glimpsing the cutting edge at the growing interface between cognitive and clinical science.

Numerical Bifurcation Analysis of Maps

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Publisher : Cambridge University Press
ISBN 13 : 1108695140
Total Pages : 424 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Numerical Bifurcation Analysis of Maps by : Yuri A. Kuznetsov

Download or read book Numerical Bifurcation Analysis of Maps written by Yuri A. Kuznetsov and published by Cambridge University Press. This book was released on 2019-03-28 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.

Dynamics and Bifurcations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461244269
Total Pages : 577 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Dynamics and Bifurcations by : Jack K. Hale

Download or read book Dynamics and Bifurcations written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears.

Attractors, Bifurcations, & Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540402268
Total Pages : 572 pages
Book Rating : 4.4/5 (22 download)

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Book Synopsis Attractors, Bifurcations, & Chaos by : Tönu Puu

Download or read book Attractors, Bifurcations, & Chaos written by Tönu Puu and published by Springer Science & Business Media. This book was released on 2003-07-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.

Sybil

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Publisher : Penguin Group
ISBN 13 : 9780241967638
Total Pages : 0 pages
Book Rating : 4.9/5 (676 download)

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Book Synopsis Sybil by : Flora Rheta Schreiber

Download or read book Sybil written by Flora Rheta Schreiber and published by Penguin Group. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the true story of a woman with sixteen personalities - two of whom were men - and her struggle, against overwhelming odds, for health and happiness.

Methods In Equivariant Bifurcations And Dynamical Systems

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813105445
Total Pages : 422 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Methods In Equivariant Bifurcations And Dynamical Systems by : Pascal Chossat

Download or read book Methods In Equivariant Bifurcations And Dynamical Systems written by Pascal Chossat and published by World Scientific Publishing Company. This book was released on 2000-02-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory. Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book.The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations. Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader.

Information, Natural Law, and the Self-Assembly of Rhythmic Movement

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Author :
Publisher : Routledge
ISBN 13 : 1317301099
Total Pages : 518 pages
Book Rating : 4.3/5 (173 download)

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Book Synopsis Information, Natural Law, and the Self-Assembly of Rhythmic Movement by : Peter N. Kugler

Download or read book Information, Natural Law, and the Self-Assembly of Rhythmic Movement written by Peter N. Kugler and published by Routledge. This book was released on 2015-12-14 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1987, the introduction states: "the authors have successfully accomplished their program – to explain, based on physical representations, the observed relations among various parameters of wrist-pendulum oscillations. Thereby a set of new ideas and concepts, including those developed recently by the scientific school to which the authors belong, are introduced to biology. These concepts are closely related to the experimental data. This accomplishment makes the book especially attractive and demonstrates once more the productivity of applying physics to biology." "Clear language, simple figures, and physical examples illuminate rather complicated problems. These attractive features should make the book intelligible to a variety of investigators in the field of motor control, not only to the specialists with physical and mathematical education." From the foreword: " Kugler and Turvey have written strategic physical biology, and shown that, after all, dynamics (including both kinetics and kinematics) may support a unitary physical view of some of the profound operations of our brains... This is a grand start on what I hope is a larger program of demystifying behaviour."

Intermittency and Self-Organisation in Turbulence and Statistical Mechanics

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Author :
Publisher : MDPI
ISBN 13 : 3039211080
Total Pages : 300 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Intermittency and Self-Organisation in Turbulence and Statistical Mechanics by : Eun-jin Kim

Download or read book Intermittency and Self-Organisation in Turbulence and Statistical Mechanics written by Eun-jin Kim and published by MDPI. This book was released on 2019-07-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics that was published in Entropy

Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

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Publisher : Springer
ISBN 13 : 3030025861
Total Pages : 288 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Hyperbolic and Kinetic Models for Self-organised Biological Aggregations by : Raluca Eftimie

Download or read book Hyperbolic and Kinetic Models for Self-organised Biological Aggregations written by Raluca Eftimie and published by Springer. This book was released on 2019-01-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.

Two-dimensional Self-independent Variable Cubic Nonlinear Systems

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Author :
Publisher : Springer Nature
ISBN 13 : 3031571126
Total Pages : 282 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Two-dimensional Self-independent Variable Cubic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-dimensional Self-independent Variable Cubic Nonlinear Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Self-Organization in Complex Ecosystems. (MPB-42)

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691070407
Total Pages : 391 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Self-Organization in Complex Ecosystems. (MPB-42) by : Ricard V. Solé

Download or read book Self-Organization in Complex Ecosystems. (MPB-42) written by Ricard V. Solé and published by Princeton University Press. This book was released on 2006-03-26 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing a theoretical view of ecosystems based on how they self-organise to produce complex patterns, this book focuses on very simple models that despite their simplicity encapsulate fundamental properties of how ecosystems work.

Self and Society

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Publisher : Andrews UK Limited
ISBN 13 : 1845405390
Total Pages : 183 pages
Book Rating : 4.8/5 (454 download)

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Book Synopsis Self and Society by : William Irwin Thompson

Download or read book Self and Society written by William Irwin Thompson and published by Andrews UK Limited. This book was released on 2017-01-11 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of essays on the evolution of culture, dealing with topics including the city and consciousness, evolution of the afterlife, literary and mathematical archetypes, machine consciousness and the implications of 9/11, and the invasion of Iraq. The enlarged new edition contains extra essays and brings the author's comments on current affairs up to date with coverage of the election of Barak Obama as US President.

Self-Organizing Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461308836
Total Pages : 658 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Self-Organizing Systems by : F.Eugene Yates

Download or read book Self-Organizing Systems written by F.Eugene Yates and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technological systems become organized by commands from outside, as when human intentions lead to the building of structures or machines. But many nat ural systems become structured by their own internal processes: these are the self organizing systems, and the emergence of order within them is a complex phe nomenon that intrigues scientists from all disciplines. Unfortunately, complexity is ill-defined. Global explanatory constructs, such as cybernetics or general sys tems theory, which were intended to cope with complexity, produced instead a grandiosity that has now, mercifully, run its course and died. Most of us have become wary of proposals for an "integrated, systems approach" to complex matters; yet we must come to grips with complexity some how. Now is a good time to reexamine complex systems to determine whether or not various scientific specialties can discover common principles or properties in them. If they do, then a fresh, multidisciplinary attack on the difficulties would be a valid scientific task. Believing that complexity is a proper scientific issue, and that self-organizing systems are the foremost example, R. Tomovic, Z. Damjanovic, and I arranged a conference (August 26-September 1, 1979) in Dubrovnik, Yugoslavia, to address self-organizing systems. We invited 30 participants from seven countries. Included were biologists, geologists, physicists, chemists, mathematicians, bio physicists, and control engineers. Participants were asked not to bring manu scripts, but, rather, to present positions on an assigned topic. Any writing would be done after the conference, when the writers could benefit from their experi ences there.