8 edition of **Dynamical systems and bifurcations** found in the catalog.

- 153 Want to read
- 7 Currently reading

Published
**1985**
by Springer-Verlag in Berlin, New York
.

Written in English

- Differentiable dynamical systems -- Congresses.,
- Differential equations -- Congresses.,
- Bifurcation theory -- Congresses.

**Edition Notes**

Statement | edited by B.L.J. Braaksma, H.W. Broer, and F. Takens. |

Series | Lecture notes in mathematics ;, 1125, Lecture notes in mathematics (Springer-Verlag) ;, 1125. |

Contributions | Braaksma, B. L. J. 1934-, Broer, H. W. 1950-, Takens, Floris., Rijksuniversiteit te Groningen. Mathematisch Instituut., International Workshop on Dynamical Systems and Bifurcations (1984 : Groningen University) |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1125, QA614.8 .L28 no. 1125 |

The Physical Object | |

Pagination | 129 p. : |

Number of Pages | 129 |

ID Numbers | |

Open Library | OL3029355M |

ISBN 10 | 0387152334 |

LC Control Number | 85009884 |

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 . Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists Its excellent survey of the mathematical literature makes it a valuable reference."―JOURNAL OF STATISTICAL PHYSICS/5(9).

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42) by Guckenheimer, John, Holmes, Philip and a great selection of related books, art and collectibles available now at dynamical systems is discussed,namely,reaction-diﬀusion systems. gicalequivalence,bifurcations,andstructural stabilityofdynamicalsystems. Two dynamical systems are called topo-logicallyequivalentif their phase portraits are homeomorphic. This notion is 1Renamed in as the Institute of Mathematical Problems of Biology (IMPB).

Discrete Dynamical Systems, Bifurcations and Chaos in Economics. Edited by Wei-Bin Zhang. Volume , Pages () Download full volume. Previous volume. Next volume. Book chapter Full text access Chapter 3 - One-dimensional dynamical economic systems. Wei-Bin Zhang. Pages Get this from a library! Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. [John Guckenheimer; Philip J Holmes].

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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists Its excellent survey of the mathematical literature makes it a valuable reference."―/5(9).

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings.

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields book. Read 2 reviews from the world's largest community for readers.

From th /5. This book is the result of Southeast Asian Mathematical Society (SEAMS) School on Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the latest developments in the field of dynamical systems, and highlights the importance of numerical continuation studies in tracking both stable and unstable steady states and bifurcation points to gain better.

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings.

Chapter 2 presents 4 examples from nonlinear 4/5(2). This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems.

This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems. J.K. Hale, H. Kocak, and H. ButtanriDynamics and Bifurcations"This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism.

Controlling Chaos and Bifurcations in Engineering Systems provides a state-of-the-art survey of the control-and anti-control-of chaos in dynamical systems. Internationally known experts in the field join forces in this volume to form this tutorial-style combination of overview and technical report on the latest advances in the theory and.

Dynamical Systems, Differential Equations and Chaos Class: MWF PM ECCR You may use any reference book; however Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York, Springer-Verlag. Hale, J. and H. Koçak (). Dynamics and Bifurcations.

New York, Springer-Verlag. Annual Review of Chaos Theory, Bifurcations and Dynamical Systems. Frequency of Publication: quarterly. ISSN: All published papers by the Annual Review of Chaos Theory, Bifurcations and Dynamical Systems are indexed by: Directory of Open Access Journals.

IPIndexing. Serials Solutions. NRSJSP. Scientific information database. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists Its excellent survey of the mathematical literature makes it a valuable reference."-JOURNAL OF STATISTICAL PHYSICS show /5(11).

Dynamical Systems V: Bifurcation Theory and Catastrophe Theory by 'd（Ed.） Language: English Page This Book is official Authorized publication, and published for Chinese local Stusents. Content: Preface Chapter 1． Bifurcations of Equilibria 1． Families and Deformations 1．1． Families of Vector Fields 1．2． The Space of.

Chaos and Dynamical Systems is a book for everyone from the layman to the expert." bifurcations, and other core concepts of dynamical systems to a much larger audience than was previously possible.

Feldman achieves this all without relying on a deep knowledge of math. An impressive balancing act, this is certainly a significant contribution Released on: Aug Discrete dynamical systems, bifurcations and chaos in economics | Zhang W.B. | download | B–OK. Download books for free.

Find books. The purpose of the present chapter is once again to show on concrete new examples that chaos in one-dimensional unimodal mappings, dynamical chaos in systems of ordinary differential equations, diffusion chaos in systems of the equations with partial derivatives and chaos in Hamiltonian and conservative systems are generated by cascades of bifurcations Cited by: 1.

Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential commonly applied to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values.

Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material.

Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. The glossary doesn't really make up for that.

The discussion of dynamic systems and differential equations is good. Duffings, Lorenz, and van der Pols equations, and local and global bifurcation theory, are discussed. Bifurcations from equilibrium points with multiple degeneracies end the book.

This is useful for studying dynamic systems/5. 12 Bifurcations in vector ﬁelds here: this book is commonly referred to as the picture book of dynamical systems.

Ralph Abraham is one of the masters of the subject. His exposition together with the 1. 2 CHAPTER 1. RESOURCES drawings of Chris Shaw makes a lot of sometimes diﬃcult concepts very approachable. In this chapter, we describe the major notions and techniques used in the study of chaotic dynamical systems.

In Sec.we describe the Poincaré map technique in order to study bifurcations and chaos in dynamical systems. In Sec.we discuss the Smale horseshoe as a fundamental tool for studying chaos in dynamical systems. Purchase Discrete Dynamical Systems, Bifurcations and Chaos in Economics, Volume - 1st Edition.

Print Book & E-Book. ISBNPeople with little understanding of dynamical systems theory should be able to read the book, starting with the Introduction and Chapter 1. Nevertheless, it is unlikely that they can fully appreciate what is being done and why it is interesting.

Fortunately, there are many good books on dynamical systems, e.g., [55], [], [], [], [].Buy Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences) Corr.

6th by Guckenheimer, John, Holmes, Philip (ISBN: ) from Amazon's Book Store. Everyday low Reviews: 5.