3 edition of **Dynamical Systems and Singular Phenomena** found in the catalog.

Dynamical Systems and Singular Phenomena

G. Ikegami

- 322 Want to read
- 26 Currently reading

Published
**August 1987**
by World Scientific Pub Co Inc
.

Written in English

- Applied mathematics,
- Mathematical Physics,
- Solid State Physics,
- Science/Mathematics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 254 |

ID Numbers | |

Open Library | OL13212587M |

ISBN 10 | 9971502313 |

ISBN 10 | 9789971502317 |

“This remarkable book studies thermodynamics within the framework of dynamical systems theory. A major contribution by any standard, it is a gem in the tiara of books being written by one of the most prolific, deep-thinking, and insightful researchers working today.”—Frank Lewis, . Noise-Induced Phenomena in Slow-Fast Dynamical Systems A Sample-Paths Approach. Authors (view affiliations) which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between.

r´e is a founder of the modern theory of dynamical systems. The name of the subject, ”DYNAMICAL SYSTEMS”, came from the title of classical book: ﬀ, Dynamical Systems. Amer. Math. Soc. Colloq. Publ. 9. American Mathematical Society, New York (), pp. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties.

Analyzing multiscale phenomena using singular perturbation methods: American Mathematical Society short course, January , , Baltimore, Maryland. to geometric methods and dynamical systems theory for singular perturbation problems / Tasso J. Kaper --Analysis of cellular phenomena using singular perturbation methods: American. Courses in Dynamical Systems , and an introduction to nonlinear phenomena and qualitative methods. An elementary knowledge of differential equations and linear algebra is assumed. maps for periodic orbits, bifurcation of rest points, averaging theory, topics from singular perturbations, Hamiltonian systems, non-linear oscillations.

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"The papers in this volume were all presented at the conference entitled "Dynamical Systems and Singular Phenomena" held at the Research Institute for Mathematical Sciences of Kyoto University from July 2 of to July 5 of "--Preface.

Get this from a library. Dynamical systems and singular phenomena. [Gikō Ikegami;] -- "The purpose of this symposium was to study singular phenomena in dynamical systems. There were a total of 19 lectures related to the following categories: dynamical systems, ergodic Dynamical Systems and Singular Phenomena book.

The purpose of this symposium was to study singular phenomena in dynamical systems. There were a total of 19 lectures related to the following categories: dynamical systems, ergodic theory, theoretical physics and engineering sciences.

Contents: Quantum Chaos (M Toda & S Adachi) Digital Control Systems with Chaotic Rounding Errors (T Ushio & C. A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth.

This book demonstrates how the dynamical systems perspective can explain such social psychological research phenomena as social relations, attitudes, social cognition, and interpersonal behavior.

Readers will first become familiar with what a dynamical system is, how it operates, and the methodology for studying such a system.4/5(1). Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property.

Some papers describe structural stability in terms of mappings of one manifold into another, as well as their singularities. Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers.

The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential. Data-driven dynamical systems is a rapidly evolving field, and therefore, we focus on a mix of established and emerging methods that are driving current developments.

In particular, we will focus on the key challenges of discovering dynamics from data and finding data-driven representations that make nonlinear systems amenable to linear analysis.

"This well-written book presents an approach based on a series of articles of both authors. The main aim is a characterisation of typical sample paths for slow-fast systems.

Presenting a detailed exposition of the setup and mathematical results, as well as a path to recent applied research, the book is aimed at a wide range of readers, from.

The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering. Discover the. "Even though there are many dynamical systems books on the market, this book is bound to become a classic.

The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank."/5(9).

( views) Complex and Adaptive Dynamical Systems: A Primer by Claudius Gros - arXiv, This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features.

The gratest mathematical book I have ever read happen to be on the topic of discrete dynamical systems and this is A "First Course in Discrete Dynamical Systems" Holmgren. This books is so easy to read that it feels like very light and extremly interesting novel.

Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization.

Optimization and Dynamical Systems Uwe Helmke1 John B. Moore2 2nd Edition March 1. Department of Mathematics, University of W¨urzburg, D W¨urzburg, Germany. Department of Systems Engineering and Cooperative Research Centre for Robust and Adaptive Systems, Research School of Information Sci.

Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations.

In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. This book comprises a collection of problems for students at the graduate/upper graduate level.

It covers a variety of selected topics; in addition to the basic theory, topics include topological, low-dimensional, hyperbolic and symbolic dynamics, and basic ergodic : Springer International Publishing. This is a great book giving the foundation for nonlinear dynamical systems in neuroscience.

It sheds light on understanding of how the dynamics of neurons work, which was great for me becasue it is a subject I have been wanting to learn more about for a while now.

This book gave me a great place to start/5. The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction.

Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. Volume 2-Dynamical Systems and Singular Phenomena: Proceedings of the Symposium on Dynamical Systems and Singular Phenomena.

Edited By: Gikō Ikegami (Nagoya) Volume 1-Dynamical Systems and Nonlinear Oscillations: Proceedings of the Symposium on Dynamical Systems and Nonlinear Oscillations. Edited By: Gikō Ikegami (Nagoya, Japan). A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space.

The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish each spring in a lake are examples of dynamical systems. A dynamical system has a state determined by a collection of real numbers.In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom.

An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the Reviews: 1.Dynamical systems are defined as tuples of which one element is a manifold.

Real dynamical system. A real dynamical system, real-time dynamical system, continuous time dynamical system, or flow is a tuple (T, M, Φ) with T an open interval in the real numbers R, M a manifold locally diffeomorphic to a Banach space, and Φ a continuous function.