4 edition of **Integrability of nonlinear systems** found in the catalog.

- 399 Want to read
- 1 Currently reading

Published
**1997**
by Springer in Berlin, New York
.

Written in

- Nonlinear theories -- Congresses.,
- Mathematical physics -- Congresses.

**Edition Notes**

Statement | Y. Kosmann-Schwarzbach, B. Grammaticos, K.M. Tamizhmani (eds.). |

Series | Lecture notes in physics ;, 495 |

Contributions | Kosmann-Schwarzbach, Yvette, 1941-, Grammaticos, B. 1946-, Tamizhmani, K. M. 1954-, C.I.M.P.A. (Center), International School on Nonlinear Systems (1996 : Pondicherry, India) |

Classifications | |
---|---|

LC Classifications | QC20.7.N6 I52 1997 |

The Physical Object | |

Pagination | vi, 380 p. : |

Number of Pages | 380 |

ID Numbers | |

Open Library | OL698282M |

ISBN 10 | 3540633537 |

LC Control Number | 97045868 |

The following cases of integrability are examined in this book: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integra-tion of a system of ordinary differential equations (ODEs) by using first integrals; and (c) integrable systems of partial differential equations (PDEs). Special topics include. Nonlinear Evolution Equations: Integrability and Spectral Methods Antonio Degasperis, Allan P. Fordy, Muthusamy Lakshmanan Manchester University Press, - Mathematics - pages.

Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences. Chaos and Integrability in Nonlinear Dynamics: An Introduction. Book Title:Chaos and Integrability in Nonlinear Dynamics: An Introduction. Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and.

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable Price: $ Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability.2/5(1).

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Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classical and quantum integrability, bihamiltonian structures.

In his book, one of the goals of Dr. Goriely is to gather, classify and formalize all what is known about the theory of integrability for dynamical systems. Starting from the idea of a constant of motion for simple dynamical systems, it studies integrability from the Integrability of nonlinear systems book and analytical point of by: The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems.

The present edition is a streamlined, revised and updated version of a set of notes that was published as Lecture Notes in Physics, Volume This volume. Buy Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds: Classical and Quantum Aspects (Mathematics and Its Applications) on FREE SHIPPING on qualified orders.

The present edition is a streamlined, revised and updated version of a set of notes that was published as Lecture Notes in Physics, Volume This volume will be complemented by a companion book dedicated to discrete integrable systems. Integrability analysis in the framework of a gradient-holonomic algorithm, devised in this book, is fulfilled through three stages: 1) finding a symplectic structure (Poisson bracket) transforming an original dynamical system into a Hamiltonian form; 2) finding first integrals Brand: Springer Netherlands.

Integrability of Nonlinear Systems The Editors (auth.), Yvette Kosmann-Schwarzbach, K. Tamizhmani, Basil Grammaticos (eds.) The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems.

Buy Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis on FREE SHIPPING on qualified ordersCited by: The theory of nonlinear systems and, in particular, of integrable systems is related to several very active fields of research in theoretical physics.

Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability.

Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton by: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics.

These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in. The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg ularly in Kiev.

With the exception of E. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All. This book is ideal as a reference and guide to new directions in research for advanced students and researchers interested in the modern theory and applications of integrable (especially infinite-dimensional) dynamical systems.

Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments.

The. From the Back Cover. Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, 5/5(2).

ISBN: OCLC Number: Description: xii, pages ; 24 cm. Contents: Nonlinear waves, solitons, and IST / M.J. Ablowitz --Integrability --and how to detect it / B. Grammaticos and A. Ramani --Introduction to the hirota bilinear method / J.

Hietarinta --Lie bialgebras, poisson lie groups, and dressing transformations / Y. Kosmann-Schwarzbach --Analytic and. Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis | Denis Blackmore | download | B–OK.

Download books for free. Find books. The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg ularly in Kiev. With the exception of E.

Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. Skip to main content.

LOGIN ; GET LIBRARY CARD ; GET EMAIL UPDATES ; SEARCH ; Home ; About Us. Nonlinear Systems covers a wide range of topics in nonlinear science, from general nonlinear dynamics, soliton systems, and the solution of nonlinear differential and difference equations to the integrability of discrete nonlinear systems, and classical and quantum chaos.

Its chapters reflect the cu. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax type integrable systems has been carried out.Get this from a library!

Integrability of nonlinear systems. [Yvette Kosmann-Schwarzbach; B Grammaticos; K M Tamizhmani;] -- The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated.Book Fair Excursions ; Secondary School Reading Programmes ; Catch Them Young (CATHY) Prison Libraries ; Internet Learning Centre ; Special Projects ; Zaccheus Onumba Dibiaezue ; Our Team ; Board of Trustees ; Jobs and Internships ; ZODML Newsroom.