Last edited by Kazrashakar
Thursday, April 30, 2020 | History

11 edition of Global bifurcations and chaos found in the catalog.

Global bifurcations and chaos

analytical methods

by Stephen Wiggins

  • 220 Want to read
  • 23 Currently reading

Published by Springer-Verlag in New York .
Written in English

    Subjects:
  • Bifurcation theory,
  • Chaotic behavior in systems,
  • Differential equations -- Numerical solutions

  • Edition Notes

    StatementStephen Wiggins.
    SeriesApplied mathematical sciences ;, v. 73, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 73.
    Classifications
    LC ClassificationsQA1 .A647 vol. 73, QA372 .A647 vol. 73
    The Physical Object
    Paginationxiv, 494 p. :
    Number of Pages494
    ID Numbers
    Open LibraryOL2043139M
    ISBN 100387967753
    LC Control Number88019959


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Global bifurcations and chaos by Stephen Wiggins Download PDF EPUB FB2

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems.

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific by: Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems.

PDF | On Jan 1,Stephen Wiggins and others published Global Bifurcations and Chaos-Analytical Methods | Find, read and cite all the research you need on ResearchGate.

"Global Bifurcations and Chaos: Analytical Methods" is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific.

Global Bifurcations and Chaos - Analytical Methods [Wiggins, Stephen] on *FREE* shipping on qualifying offers. Global Bifurcations and Chaos - Analytical MethodsAuthor: Stephen Wiggins.

Download Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Uniqueness of Limit Cycles in a Rosenzweig–MacArthur Model with Prey Immigration Decomposition Algorithms for Two-Stage Distributionally Robust Mixed Binary ProgramsCited by: 2.

Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering. It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested Cited by: 6.

This is a step forward in the understanding of the generic cases of homoclinic flip bifurcations, which started with the study of the simpler cases A and B.

In a three-dimensional vector field due to Sandstede, we compute relevant bifurcation curves in the two-parameter bifurcation diagram near the central codimension-two bifurcation in Cited by: 2. The present book relies on various editions of my earlier book "Nonlinear Economic Dynamics", first published in in the Springer series "Lecture Notes in Economics and Mathematical Systems", and republished in three more, successively revised and expanded editions, as a Springer monograph, inBrand: Springer-Verlag Berlin Heidelberg.

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems.

These techniques can be viewed as. To support customers with accessing online resources, IGI Global is offering a 50% discount on all e-book and e-journals. This opportunity is ideal for librarian customers convert previously acquired print holdings to electronic format at a 50% discount.

The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. 1 ME INTRODUCTION TO BIFURCATIONS AND CHAOS (Spring ) Instructor: Anil K Bajaj, School of Mechanical Engineering, Office: Room ME A: Phone # Time and Place: pm (MW), Room ME Text Book: (1) Troger, H.

and Steindl, A.: Nonlinear Stability and Bifurcation Theory: An Introduction for Scientists and Engineers, Springer-Verlag, Wein, File Size: KB. Volumenumber 1,2 PHYSICS LETTERS A 7 May GLOBAL BIFURCATIONS INTO CHAOS IN SYSTEMS WITH SO(2) SYMMETRY J.D.

RODRIGUEZ and Mark SCHELL Department of Chemistry and The Center for Nonequilibrium Structures, Southern Methodist University, Dallas, TXUSA Received 29 August ; revised manuscript received 10 January ; accepted for publication 9 Cited by: 5.

Wiggin's other book (Global bifurcations and chaos) is a particularly focused on global bifurcations as is apparent from the title. Some of the material is also covered in his newer book (above). There is much more material on homoclinic and heteroclitic orbits and perturbation theory. “This book is clearly designed on the basis of an interesting intellectual project: to teach differential equations, bifurcations and chaos with special attention to their applications in economics.”.

Search in this book series. Bifurcation and Chaos in Complex Systems. Edited by J.Q. SUN, A.C.J. LUO. Volume 1, Pages () Chapter 3 Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods. Ling Hong, Jian-Qiao Sun. Pages Download PDF.

The main focus of this book is bifurcations and the two largest chapters are Local Bifurcations and Aspects of Global Bifurcations and Chaos. This book has served well as a reference book and should is useful for those who are interested in going into this area. Bifurcation, Quasi-Periodicity, Chaos, and Co-Existence of Different Behaviors in the Controlled H-Bridge Inverter: /ch This chapter deals with the analysis of the dynamic behavior of a controlled single-phase H-bridge inverter.

The authors show that in addition to borderCited by: 1. Global dynamics of a class of planar Filippov systems with symmetry, which is a discontinuous limit case of a smooth oscillator, is studied.

Necessary and sufficient conditions for the existence. Abstract. The main goal of this chapter is to give examples of five different types of global bifurcation.

While the local bifurcations of the previous chapter were associated with stability changes in an equilibrium, the bifurcations in this chapter are associated with stability changes in a periodic : David G. Schaeffer, John W. Cain. The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of.

The global bifurcations and chaotic dynamics were investigated by Zhang [22] for parametrically excited simply sup-ported rectangular thin plates. Zhang and Li [23] employed the global perturbation method to investigate the global bifurcations and chaotic dynamics of a nonlinear vibration absorber.

The global bifurcations and chaotic dynamics. Book Description. This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.

The textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially. 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.

Global bifurcations of cycles Reading: Chapter 8 Due in class: Homework #7 Prof. Flavio Fenton: Belousov-Zhabotinsky spirals demonstration Problem set 8:,Online: Strogatz lecture 14 October 25 Quasiperiodicity and Poincare maps Reading: Chapter 8 October 27 Floquet Theory Reading: Chapter 8.

Chapter 1: Introduction: Differential Equations and Dynamical Systems * Chapter 2: An Introduction to Chaos: Four Examples * Chapter 3: Local Bifurcations * Chapter 4: Averaging and Perturbation from a Geometric Viewpoint * Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors * Chapter 6: Global Bifurcations * Chapter 7: Local Codimension Two Bifurcations of Flows * Appendix.

Chaos and Time-Series Analysis Julien Clinton Sprott. This book provides a broad coverage and has acessible style of exposition. Emphasis is on physical concepts and useful results, rather than rigorous mathematical proofs.

Completeing this volume is free and user-friendly software. The remaining chapters cover topics as diverse as bifurcation theory, Hamiltonian mechanics, homoclinic bifurcations, routes to chaos, ergodic theory, renormalization theory, and time series analysis.

In its entirety, the book bears witness to the influence of Takens on the modern theory of dynamical systems and its applications.

Read "Discrete Dynamical Systems, Bifurcations and Chaos in Economics" by Wei-Bin Zhang available from Rakuten Kobo. This book is a unique blend of difference equations theory and its exciting applications to economics.

It deals with not Brand: Elsevier Science. This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic textNonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first.

@article{osti_, title = {Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method}, author = {Liu, Xiaojun and School of Mathematics and Statistics, Tianshui Normal University, Tianshui and Hong, Ling and Jiang, Jun}, abstractNote = {Global bifurcations include sudden changes in chaotic sets due to crises.

4 1 Bifurcations and Chaos in Dynamical Systems Fig. The Poincar e map x!P(x), mapping an intersection x of the trajectory with a hyper-plane (indicated by shaded redgion) to the consecutive intersection P(x). x P(x) The phase space depends on the representation. For a two-dimensional systemFile Size: 2MB.

from the very interesting (but di cult) book of Chossat-Lauterbach [2]. One other complementary reference is the book of Golubitsky-Stewart-Schae er [3]. For an elementary review on functional analysis the book of Brezis is recommanded [1].

1Elementary bifurcation De nition In dynamical systems, a bifurcation occurs when a small smooth changeFile Size: KB. Differential Equations, Bifurcations and Chaos In Economics On Advances In Mathematics For Applied Sciences by Wei-Bin Zhang. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics.

Containing not just a comprehensive introduction to the. Differential equations, bifurcations, and chaos in economics Wel-bin Zhang, Wei-Bin Zhang Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks.

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 (the bifurcation.

Global bifurcations include sudden changes in chaotic sets due to crises. There are three types of crises defined by Grebogi et al. [Physica D 7, ()]: boundary crisis, interior crisis, and metamorphosis.

In this paper, by means of the extended generalized cell mapping (EGCM), boundary and interior crises of a fractional-order Duffing system are studied as one of the system parameters Cited by: The behavior of an iterated function can be described as steady-state, periodic, or chaotic.

This is illustrated here with cobweb and bifurcation diagrams. Visualization of mathematical objects is a recurrent theme in The Chaos Hypertextbook.‘The topic of this book is the study of local and global bifurcations (qualitative changes in dynamics) of discrete-time maps as parameters are varied This book could be used as reference to known results on bifurcations of maps, or as a guide to the software MatcontM.

It is clearly written and contains many high-quality figures.’.