The Complete Dynamics of the Forced Josephson Junction Circuit

The Complete Dynamics of the Forced Josephson Junction Circuit PDF Author: Fathi M. Abdel Salam
Publisher:
ISBN:
Category :
Languages : en
Pages : 35

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The Complete Dynamics of the Forced Josephson Junction Circuit

The Complete Dynamics of the Forced Josephson Junction Circuit PDF Author: Fathi M. Abdel Salam
Publisher:
ISBN:
Category :
Languages : en
Pages : 35

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Book Description


Numerical Continuation Methods for Dynamical Systems

Numerical Continuation Methods for Dynamical Systems PDF Author: Bernd Krauskopf
Publisher: Springer
ISBN: 1402063563
Category : Science
Languages : en
Pages : 399

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Book Description
Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.

Proceedings

Proceedings PDF Author:
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 548

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Dynamics of Josephson Junctions and Circuits

Dynamics of Josephson Junctions and Circuits PDF Author: Likharev
Publisher: CRC Press
ISBN: 9782881240423
Category : Science
Languages : en
Pages : 640

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Book Description
"This monograph is intended to give a relatively complete review of Josephson junction dynamics as it stands in the mid-1980's. The main idea of the author is to present the reader with as many useful results as possible by the simplest means, rather than to demonstrate theoretical muscle. This is why almost all the topics requiring elaborate techniques for their analysis are shifted to the ends of the chapters and the most complex chapters, to the end of the book. Topics which are of relatively minor importance for further discussion are mainly presented in the form of 'problems' at the end of the sections." -- from Preface.

Dynamics of Josephson Junctions and Circuits

Dynamics of Josephson Junctions and Circuits PDF Author: Konstantin K. Likharev
Publisher: Routledge
ISBN: 1351454196
Category : Science
Languages : en
Pages : 635

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Book Description
This monograph offers a detailed description of the statistics, dynamics and statics of Josephson junctions. Particular emphasis is placed on the dynamics of new circuits and analog and digital devices using single quanta of magnetic flux.

Chaos in Nonlinear Dynamical Systems

Chaos in Nonlinear Dynamical Systems PDF Author: J. Chandra
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208

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Bibliography on Chaos

Bibliography on Chaos PDF Author: Shu-yu Zhang
Publisher: World Scientific
ISBN: 9789810205812
Category : Science
Languages : en
Pages : 536

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Book Description
This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1052

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The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems

The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems PDF Author: Basil Nicolaenko
Publisher: American Mathematical Soc.
ISBN: 0821851055
Category : Mathematics
Languages : en
Pages : 380

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Book Description
The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. The first of these advances was the discovery that a dissipative PDE has a compact, global attractor with finite Hausdorff and fractal dimensions. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold-that is, an invariant manifold containing the attractor and exponentially attractive trajectories. With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. Surprisingly, a number of distributed systems from continuum mechanics have been found to exhibit the same nontrivial dynamic behavior as observed in low-dimensional dynamical systems. As a natural consequence of these observations, a new direction of research has arisen: detection and analysis of finite dimensional dynamical characteristics of infinite-dimensional systems. This book represents the proceedings of an AMS-IMS-SIAM Summer Research Conference, held in July, 1987 at the University of Colorado at Boulder. Bringing together mathematicians and physicists, the conference provided a forum for presentations on the latest developments in the field and fostered lively interactions on open questions and future directions. With contributions from some of the top experts, these proceedings will provide readers with an overview of this vital area of research.

Proceedings of the International Conference on Bifurcation Theory and Its Numerical Analysis

Proceedings of the International Conference on Bifurcation Theory and Its Numerical Analysis PDF Author: Kaitai Li
Publisher: Xian Jiaotong University Press
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 510

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Book Description