A modern Hamiltonian theory offering a unified treatment of all types of systems (i.e. finite, lattice, and field) is presented. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system. As this property is closely related to integrability, this book presents an algebraic theory of integrable systems. The book is intended for scientists, lecturers, and students interested in the field.
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Inside This Book
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First Sentence:
The main subject of our interest in this book is equations of the form ut = K(u), (1.1) where K(u) denotes a vector field on a certain manifold M and u is a point of this manifold, which we shall refer to as a dynamical system. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
highest differential order, cubic bracket, quadratic bracket, lax operators, purely differential operator, linear bracket, stationary reduction, quadratic tensor, master symmetries, generalized parabolic, hereditary algebra, recursion operator, soliton particles, generalized elliptic, separable potentials, tensor invariants, linear tensor, covector fields, integrable equations, spectral operator, stationary flows, duality map, spectral problem, finite dimensional systems, extended phase space Key Phrases - Capitalized Phrases (CAPs): (learn more)
Multi-Hamiltonian Lax Dynamics, Dynamics of Shift Lax Operators, Hamilton Jacobi, Lie Poisson, Stationary Flows of Infinite Systems, Dynamics of Pseudo-Differential Lax Operators, Yang Baxter, Algebraic Properties of Tensor Invariants, Newton Parametrization, Henon Heiles New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The main subject of our interest in this book is equations of the form ut = K(u), (1.1) where K(u) denotes a vector field on a certain manifold M and u is a point of this manifold, which we shall refer to as a dynamical system. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
highest differential order, cubic bracket, quadratic bracket, lax operators, purely differential operator, linear bracket, stationary reduction, quadratic tensor, master symmetries, generalized parabolic, hereditary algebra, recursion operator, soliton particles, generalized elliptic, separable potentials, tensor invariants, linear tensor, covector fields, integrable equations, spectral operator, stationary flows, duality map, spectral problem, finite dimensional systems, extended phase space Key Phrases - Capitalized Phrases (CAPs): (learn more)
Multi-Hamiltonian Lax Dynamics, Dynamics of Shift Lax Operators, Hamilton Jacobi, Lie Poisson, Stationary Flows of Infinite Systems, Dynamics of Pseudo-Differential Lax Operators, Yang Baxter, Algebraic Properties of Tensor Invariants, Newton Parametrization, Henon Heiles New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 14
books:
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7
books
cite this book:
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- Important Developments in Soliton Theory (Springer Series on Nonlinear Dynamics) by A. S. Fokas in Back Matter
- Nonlinear Evolution Equations and Dynamical Systems (Research Reports in Physics) by S. Carillo in Back Matter
- Quantum Entropy and Its Use (Theoretical and Mathematical Physics) by M. Ohya in Front Matter
- Finite Quantum Electrodynamics: The Causal Approach (Theoretical and Mathematical Physics) by G. Scharf in Front Matter
- Effective Lagrangians for the Standard Model (Theoretical and Mathematical Physics) by Antonio Dobado in Front Matter
See all 14 books this book cites
- Statistical Mechanics of Lattice Systems: Volume 2: Exact, Series and Renormalization Group Methods (Theoretical and Mathematical Physics) by David A. Lavis in Front Matter
- High-Energy Particle Diffraction (Theoretical and Mathematical Physics) by Vincenzo Barone in Back Matter
- Conformal Invariance and Critical Phenomena (Theoretical and Mathematical Physics) by Malte Henkel in Front Matter
- Many-Body Problems and Quantum Field Theory: An Introduction (Theoretical and Mathematical Physics) by Philippe Andre Martin in Back Matter
- Fields, Symmetries, and Quarks by Ulrich Mosel in Front Matter
See all 7 books citing this book
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