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Differential Galois Theory and Non-Integrability of Hamiltonian Systems

necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new;

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Geometry and Dynamics of Integrable Systems

address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities;

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Chaos And Integrability In Nonlinear Dynamics

. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses;

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Index theory in nonlinear analysis

theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary;

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Inverse Problems in Ordinary Differential Equations and Applications

generic algebraic limit cycles, third for solving the inverse problem for constrained Lagrangian and Hamiltonian mechanical systems, fourth for;

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Hamiltonian Systems with Three or More Degrees of Freedom

appearing in most of the applications are non-integrable. Hence methods to prove non-integrability results are presented and the different meaning;

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Analytical Mechanics

, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked;

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Fundamentals of Advanced Mathematics V2

begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories;

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Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces

This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port;

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Geometric Formulation Of Classical And Quantum Mechanics

framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict;

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Differential Operators On Spaces Of Variable Integrability

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much;

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Algebraic Groups and Differential Galois Theory

Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general;

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Qualitative Theory of Planar Differential Systems

integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector;

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Lagrangian and Hamiltonian geometries. Applications to Mechanics

and non-conservative mechanical systems can be raised based on the Lagrangian and Hamiltonian geometries. And that these geometries relies on;

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Construction of Mappings for Hamiltonian Systems and Their Applications

dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and;

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Nonlinear Dynamical Systems Of Mathematical Physics

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications;

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Differential Geometry Of Singular Spaces And Reduction Of Sy

. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on;

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Morse Theory for Hamiltonian Systems

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It;

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Morse Theory for Hamiltonian Systems

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It;

Vergelijkbare producten zoals Morse Theory for Hamiltonian Systems

The Verdier Memorial Conference on Integrable Systems

of the hierarchies of Hamiltonian systems and topological field theory are shown to be strongly interrelated. In the overview that introduces;

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Quantum versus Classical Mechanics and Integrability Problems

of a theory which allows for a deeper understanding of classical and quantum integrability. For this reason the modern separability theory on;

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Yang-Baxter Deformation of 2D Non-Linear Sigma Models

integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number;

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Geometric Numerical Integration

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds;

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Geometric Numerical Integration

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds;

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Selected Topics in the Geometrical Study of Differential Equations

The geometrical study of differential equations has a long and distinguished history, dating back to the classical investigations of Sophus;

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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly;

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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly;

Vergelijkbare producten zoals Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations