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This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be a valuable reference for Hamiltonian systems, and of special interest to researchers and graduate students of the KAM community.

Hamiltonian systems -- Data processing. --- Hamiltonian systems. --- Perturbation (Mathematics). --- Hamiltonian systems --- Perturbation (Mathematics) --- Mathematics --- Calculus --- Geometry --- Physical Sciences & Mathematics --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Dynamics. --- Ergodic theory. --- Topology. --- Mechanics. --- Dynamical Systems and Ergodic Theory. --- Analysis. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- 517.1 Mathematical analysis --- Mathematical analysis --- Math --- Science --- Perturbation equations --- Perturbation theory --- Approximation theory --- Functional analysis --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be a valuable reference for Hamiltonian systems, and of special interest to researchers and graduate students of the KAM community.

Topology --- Ergodic theory. Information theory --- Mathematical analysis --- Mathematics --- Classical mechanics. Field theory --- analyse (wiskunde) --- wiskunde --- mechanica --- topologie --- dynamica --- informatietheorie