Unfoldings Of Quasi Periodic Tori

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Unfoldings and Bifurcations of Quasi-Periodic Tori

Author : Hendrik Wolter Broer
Publisher : American Mathematical Soc.
ISBN 13 : 082182483X
Total Pages : 189 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unfoldings and Bifurcations of Quasi-Periodic Tori by : Hendrik Wolter Broer

Download or read book Unfoldings and Bifurcations of Quasi-Periodic Tori written by Hendrik Wolter Broer and published by American Mathematical Soc.. This book was released on 1990 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I. We consider dynamical systems depending on parameters in various, both conservative and dissipative settings. For such systems integrability is defined as equivariance with respect to an appropriate torus action.

Unfoldings of Quasi-periodic Tori

Author : Gregorius Bonifatius Huitema
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Unfoldings of Quasi-periodic Tori by : Gregorius Bonifatius Huitema

Download or read book Unfoldings of Quasi-periodic Tori written by Gregorius Bonifatius Huitema and published by . This book was released on 1988 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unfoldings of Quasi-periodic Tori

Author : Gregorius B. Huitema
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis Unfoldings of Quasi-periodic Tori by : Gregorius B. Huitema

Download or read book Unfoldings of Quasi-periodic Tori written by Gregorius B. Huitema and published by . This book was released on 1988 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unfoldings of Quasi-periodic Tori in Reversible Systems

Author : H. W. Broer
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (662 download)

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Book Synopsis Unfoldings of Quasi-periodic Tori in Reversible Systems by : H. W. Broer

Download or read book Unfoldings of Quasi-periodic Tori in Reversible Systems written by H. W. Broer and published by . This book was released on 1993 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unfoldings of quasi-periodic tori

Author : H. W. Broer
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis Unfoldings of quasi-periodic tori by : H. W. Broer

Download or read book Unfoldings of quasi-periodic tori written by H. W. Broer and published by . This book was released on 1987 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasi-Periodic Motions in Families of Dynamical Systems

Author : Hendrik W. Broer
Publisher : Springer
ISBN 13 : 3540496130
Total Pages : 203 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quasi-Periodic Motions in Families of Dynamical Systems by : Hendrik W. Broer

Download or read book Quasi-Periodic Motions in Families of Dynamical Systems written by Hendrik W. Broer and published by Springer. This book was released on 2009-01-25 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. Such a motion in the phase space densely fills up an invariant torus. This phenomenon is most familiar from Hamiltonian dynamics. Hamiltonian systems are well known for their use in modelling the dynamics related to frictionless mechanics, including the planetary and lunar motions. In this context the general picture appears to be as follows. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori. On the other hand, systems exist that are entirely chaotic on each energy level. In between we know systems that, being sufficiently small perturbations of integrable ones, exhibit coexistence of order (invariant tori carrying quasi-periodic dynamics) and chaos (the so called stochastic layers). The Kolmogorov-Arnol'd-Moser (KAM) theory on quasi-periodic motions tells us that the occurrence of such motions is open within the class of all Hamiltonian systems: in other words, it is a phenomenon persistent under small Hamiltonian perturbations. Moreover, generally, for any such system the union of quasi-periodic tori in the phase space is a nowhere dense set of positive Lebesgue measure, a so called Cantor family. This fact implies that open classes of Hamiltonian systems exist that are not ergodic. The main aim of the book is to study the changes in this picture when other classes of systems - or contexts - are considered.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 964 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Handbook of Applications of Chaos Theory

Author : Christos H. Skiadas
Publisher : CRC Press
ISBN 13 : 1315356546
Total Pages : 921 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Handbook of Applications of Chaos Theory by : Christos H. Skiadas

Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Symmetry and Perturbation Theory

Author : Giuseppe Gaeta
Publisher : World Scientific
ISBN 13 : 9812776168
Total Pages : 311 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Symmetry and Perturbation Theory by : Giuseppe Gaeta

Download or read book Symmetry and Perturbation Theory written by Giuseppe Gaeta and published by World Scientific. This book was released on 2007 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii.

Normal Forms and Homoclinic Chaos

Author : William F. Langford
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885871
Total Pages : 316 pages
Book Rating : 4.8/5 (858 download)

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Book Synopsis Normal Forms and Homoclinic Chaos by : William F. Langford

Download or read book Normal Forms and Homoclinic Chaos written by William F. Langford and published by American Mathematical Soc.. This book was released on 1995-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents new research on normal forms, symmetry, homoclinic cycles, and chaos, from the Workshop on Normal Forms and Homoclinic Chaos held during The Fields Institute Program Year on Dynamical Systems and Bifurcation Theory in November 1992, in Waterloo, Canada. The workshop bridged the local and global analysis of dynamical systems with emphasis on normal forms and the recently discovered homoclinic cycles which may arise in normal forms. Specific topics covered in this volume include normal forms for dissipative, conservative, and reversible vector fields, and for symplectic maps; the effects of symmetry on normal forms; the persistence of homoclinic cycles; symmetry-breaking, both spontaneous and induced; mode interactions; resonances; intermittency; numerical computation of orbits in phase space; applications to flow-induced vibrations and to mechanical and structural systems; general methods for calculation of normal forms; and chaotic dynamics arising from normal forms. Of the 32 presentations given at this workshop, 14 of them are represented by papers in this volume.

Workshop on Dynamical Systems

Author : E. Shiels
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Workshop on Dynamical Systems by : E. Shiels

Download or read book Workshop on Dynamical Systems written by E. Shiels and published by Longman Scientific and Technical. This book was released on 1990 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonautonomous Bifurcation Theory

Author : Vasso Anagnostopoulou
Publisher : Springer Nature
ISBN 13 : 303129842X
Total Pages : 159 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Nonautonomous Bifurcation Theory by : Vasso Anagnostopoulou

Download or read book Nonautonomous Bifurcation Theory written by Vasso Anagnostopoulou and published by Springer Nature. This book was released on 2023-05-31 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.

Structures in Dynamics

Author : H.W. Broer
Publisher : Elsevier
ISBN 13 : 0444596259
Total Pages : 323 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Structures in Dynamics by : H.W. Broer

Download or read book Structures in Dynamics written by H.W. Broer and published by Elsevier. This book was released on 1991-11-05 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account. Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs. All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

Progress and Challenges in Dynamical Systems

Author : Santiago Ibáñez
Publisher : Springer Science & Business Media
ISBN 13 : 3642388302
Total Pages : 426 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Progress and Challenges in Dynamical Systems by : Santiago Ibáñez

Download or read book Progress and Challenges in Dynamical Systems written by Santiago Ibáñez and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincaré held at the University of Oviedo, Gijón in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems. This book covers a broad range of topics, focusing on discrete and continuous dynamical systems, bifurcation theory, celestial mechanics, delay difference and differential equations, Hamiltonian systems and also the classic challenges in planar vector fields. It also details recent advances and new trends in the field, including applications to a wide range of disciplines such as biology, chemistry, physics and economics. The memory of Henri Poincaré, who laid the foundations of the subject, inspired this exploration of dynamical systems. In honor of this remarkable mathematician, theoretical physicist, engineer and philosopher, the authors have made a special effort to place the reader at the frontiers of current knowledge in the discipline.

Global Analysis of Dynamical Systems

Author : H.W Broer
Publisher : CRC Press
ISBN 13 : 9781420034288
Total Pages : 498 pages
Book Rating : 4.0/5 (342 download)

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Book Synopsis Global Analysis of Dynamical Systems by : H.W Broer

Download or read book Global Analysis of Dynamical Systems written by H.W Broer and published by CRC Press. This book was released on 2001-06-18 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by close colleagues, friends, and former students of Floris Takens, Global Analysis of Dynamical Systems is a liber amicorum dedicated to Takens for his 60th birthday. The first chapter is a reproduction of Takens's 1974 paper "Forced oscillators and bifurcations" that was previously available only as a preprint of the University of Utrecht. Among other important results, it contains the unfolding of what is now known as the Bogdanov-Takens bifurcation. 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. This book is a must-read for anyone interested in this active and exciting field.

Seminar on Dynamical Systems

Author : Lazutkin
Publisher : Birkhäuser
ISBN 13 : 3034875150
Total Pages : 297 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Seminar on Dynamical Systems by : Lazutkin

Download or read book Seminar on Dynamical Systems written by Lazutkin and published by Birkhäuser. This book was released on 2013-06-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The "Dynamical Systems Semester" took place at the Euler International Mathematical Institute in St. Petersburg, Russia, in the autumn of 1991. There were two workshops, October 14-25 and November 18-29, with more than 60 participants giving 70 talks. The titles of all talks are given at the end of this volume. Here we included 22 papers prepared by the authors especially for this volume, while the material of the other talks are published elsewhere. The semester was sponsored by the Soviet Academy of Sciences and UN ESCO. Since the new building of the Euler Institute was not ready at that moment, the sessions were held in the old building of the Steklov Mathemati cal Institute in the very center of St. Petersburg. Members of the staff of the Euler Institute were doing their best to organize properly the normal processing of the conference-not a simple task at that time because of the complications in the political and economical life in Russia just between the coup d'etat in August and the dismantling of the Soviet Union in December. We are thankful to all of them.

Handbook of Dynamical Systems

Author : H. Broer
Publisher : Elsevier
ISBN 13 : 0080932266
Total Pages : 556 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Dynamical Systems by : H. Broer

Download or read book Handbook of Dynamical Systems written by H. Broer and published by Elsevier. This book was released on 2010-11-10 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems