Chaos in Nonlinear Oscillators

Chaos in Nonlinear Oscillators PDF Author: Muthusamy Lakshmanan
Publisher: World Scientific
ISBN: 9789810221430
Category : Science
Languages : en
Pages : 346

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Book Description
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.

Chaos in Nonlinear Oscillators

Chaos in Nonlinear Oscillators PDF Author: Muthusamy Lakshmanan
Publisher: World Scientific
ISBN: 9789810221430
Category : Science
Languages : en
Pages : 346

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Book Description
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.

Chaotic Oscillators

Chaotic Oscillators PDF Author: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9789810206536
Category : Science
Languages : en
Pages : 672

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Book Description
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos PDF Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532

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Book Description
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 bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Dynamics

Nonlinear Dynamics PDF Author: Muthusamy Lakshmanan
Publisher: Springer Science & Business Media
ISBN: 3642556884
Category : Mathematics
Languages : en
Pages : 628

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Book Description
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Nonlinear Dynamics and Chaos: Advances and Perspectives

Nonlinear Dynamics and Chaos: Advances and Perspectives PDF Author: Marco Thiel
Publisher: Springer
ISBN: 3642046290
Category : Science
Languages : en
Pages : 300

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Book Description
This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Bifurcation And Chaos In Simple Dynamical Systems

Bifurcation And Chaos In Simple Dynamical Systems PDF Author: Jan Awrejcewicz
Publisher: World Scientific
ISBN: 9814520055
Category : Science
Languages : en
Pages : 138

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Book Description
This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author. Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytical approaches allows for a deeper insight into non-linear dynamical phenomena. The numerical and analytical techniques presented do not require specific mathematical knowledge.

Chaos In Circuits And Systems

Chaos In Circuits And Systems PDF Author: Guanrong Chen
Publisher: World Scientific
ISBN: 9814488704
Category : Technology & Engineering
Languages : en
Pages : 656

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Book Description
In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.

Chaotic Oscillations in Mechanical Systems

Chaotic Oscillations in Mechanical Systems PDF Author: Tomasz Kapitaniak
Publisher: Manchester University Press
ISBN: 9780719033643
Category : Health & Fitness
Languages : en
Pages : 240

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Book Description


Bifurcations and Chaos in Two Coupled Weakly Nonlinear Oscillators

Bifurcations and Chaos in Two Coupled Weakly Nonlinear Oscillators PDF Author: Maxim Poliashenko
Publisher:
ISBN:
Category : Bifurcation theory
Languages : en
Pages : 366

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Book Description


Phase Control of Chaos in Coupled Nonlinear Oscillators

Phase Control of Chaos in Coupled Nonlinear Oscillators PDF Author: Clay M. Kasow
Publisher:
ISBN:
Category :
Languages : en
Pages : 105

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Book Description