Includes bibliographical references.
|Statement||Y. Kosmann-Schwarzbach, B. Grammaticos, K.M. Tamizhmani (eds.).|
|Series||Lecture notes in physics,, 638|
|Contributions||Kosmann-Schwarzbach, Yvette, 1941-, Grammaticos, B. 1946-, Tamizhmani, K. M. 1954-|
|LC Classifications||QC20.7.N6 I5 2004|
|The Physical Object|
|Pagination||xii, 333 p. ;|
|Number of Pages||333|
|LC Control Number||2003064773|
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. M. 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. D. 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 .