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Thursday, July 16, 2020 | History

1 edition of Nonlinear dynamics, bifurcations and chaotic behavior found in the catalog.

Nonlinear dynamics, bifurcations and chaotic behavior

Nonlinear dynamics, bifurcations and chaotic behavior

special issue dedicated to Leonid P. Shil"nikov on ... his 60th birthday

  • 64 Want to read
  • 18 Currently reading

Published by World Scientific in Singapore, London .
Written in English


Edition Notes

Theme issues.

Statementguest editors: V.S. Afraimovich, L.M. Lerman.
SeriesInternational journal of bifurcation and chaos -- vol.6 (5-6)
ContributionsAfraimovich, V. S., Lerman, L. M., Shil"nikov, Leonid P.
ID Numbers
Open LibraryOL19579053M

Fluid, structural, machine and rigid body dynamics has been a fertile field for nonlinear phenomena and chaos in particular. Early experimental evidence for chaotic phenomena in mechanics gave the new chaos theory a mark of credibility, importance, and relevance that its earlier sister field, catastrophe theory, did not achieve.   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 students .

  This work applies the forward sensitivity analysis method to the reduced-order Boiling Water Reactor (BWR) model originally developed by March-Leuba, . Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of .

This course of 25 lectures, filmed at Cornell University in Spring , is intended for newcomers to nonlinear dynamics and chaos. It closely follows Prof. Strogatz's book, "Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering." The mathematical treatment is friendly and informal, but still careful.   This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their.


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Nonlinear dynamics, bifurcations and chaotic behavior Download PDF EPUB FB2

One of the book's biggest strengths is that it explains core concepts through practical examples drawn from various fields and from real-world systems the author's excellent use of geometric and graphical techniques greatly clarifies what can be amazingly complex behavior." Physics Today "Nonlinear Dynamics and Chaos is an excellent book /5(95).

Books; Series: Advances in Nonlinear Dynamics and Chaos (ANDC) Series: Advances in Nonlinear Dynamics and Chaos (ANDC) There has been a renewed interest in the study of nonlinear dynamical systems during the last two decades. This has been partly because of "Chaotic Behavior" which is associated with the study of Dynamical Systems.

The research. 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 Cited by: 6.

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.

The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their.

Wing-Kuen Ling, in Nonlinear Digital Filters, Nonlinear behavior. Theoretically, chaotic behavior could not occur in the finite state machine because the state vectors would eventually be periodic.

However, if the number of states of the machine is large enough and the period is very long, then the system may exhibit near chaotic behaviors and the phase portrait may visually exhibit a.

One of the book's biggest strengths is that it explains core concepts bifurcations and chaotic behavior book practical examples drawn from various fields and from real-world systems the author's excellent use of geometric and graphical techniques greatly clarifies what can be amazingly complex behavior." Physics Today "Nonlinear Dynamics and Chaos is an excellent book.

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering Steven H. Strogatz This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos.

The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems.

Chaos and Dynamical Systems is a book for everyone from the layman to the expert."—David S. Mazel, MAA Reviews “This book is a readable tour and deep dive into chaotic dynamics and related concepts from the field of dynamical systems theory. “Chaos and Dynamical Systems is a great introduction to nonlinear dynamics, bifurcations, and.

An introductory text in nonlinear dynamics and chaos, emphasizing applications in several areas of science, which include vibrations, biological rhythms, insect outbreaks, and genetic control systems. Contains a rich selection of illustrations, with many exercises and examples.

Softcover. nonlinear dynamics has grown tremendously. Thus, nonlinear dynamics and chaos theory now have entered the mainstream of physics. Numerous examples of nonlinear systems have been found to display irregular behavior. Surprisingly, order, in the sense of quantitative similarities as universal.

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.

Get this from a library. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.

[Steven H Strogatz] -- "This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.

The presentation stresses analytical methods, concrete examples, and. One of the book’s biggest strengths is that it explains core concepts through practical examples drawn from various fields and from real-world systems the author’s excellent use of geometric and graphical techniques greatly clarifies what can be amazingly complex behavior.” Physics Today “Nonlinear Dynamics and Chaos is an.

Nonlinear Dynamics and Chaos with Student Solutions Manual book. With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. starting with first-order differential equations and their.

A Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations leading to chaos, such as period-doubling bifurcations and Neimark&#x;Sacker bifurcations.

Characterizing elements of chaotic behavior. Lyapunov exponents. Exercises. Chapter 3 Bifurcations. Introduction to bifurcations in dynamical systems. Elementary bifurcations. Bifurcations towards catastrophes.

Exercises. Chapter 4 Oscillators. Hopf bifurcation. Examples of oscillations and oscillators. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering in SearchWorks catalog.

(GH) Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Guckenheimer, J and P. Holmes, Springer-Verlag, (W) Introduction to Applied Nonlinear Dynamical Systems and Chaos. Stephen Wiggins, (Texts in Applied Mathematics, Vol 2).

(JS) Classical Dynamics, a contemporary approach. Global bifurcations and multi-pulse chaotic dynamics are studied for a four-edge simply supported composite laminated piezoelectric rectangular plate under combined in-plane, transverse, and.

The book published inwith the title "A ttractors, Bifurcations, and Chaos -Nonlinear Phenomena in Economics", was so much changed, that the author felt it reasonable to give it a new title. There were two new math­ ematics chapters -on partial differential equations, and on bifurcations and catastrophe theory -thus making the.Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying.ISBN: OCLC Number: Description: xxii, pages: illustrations ; 24 cm: Contents: Historical background 1 Chaotic dynamics in Duffing's oscillator 3 Attractors and bifurcations 8 --Part I Basic Concepts of Nonlinear Dynamics An overview of nonlinear phenomena 15 Undamped, unforced linear .