Dynamical Systems and Microphysics. Geometry and Mechanics

Content: 
ACADEMIC PRESS RAPID MANUSCRIPT REPRODUCTION, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-x
Preface, Pages xi-xiii
LAGRANGIAN SUBMANIFOLDS, STATICS AND DYNAMICS OF MECHANICAL SYSTEMS, Pages 3-26
DEFORMATIONS AND QUANTIZATION, Pages 27-60
LIE GROUP ACTIONS ON POISSON AND CANONICAL MANIFOLDS, Pages 61-73
GAUGE THEORIES AND GRAVITATION: Lecture Notes, Pages 75-90
RIEMANNIAN GEOMETRY AND MECHANICS: THE KEPLER PROBLEM, Pages 91-108
CONFINEMENT PROBLEMS IN MATHEMATICAL PHYSICS, CLASSICAL AND MODERN, Pages 109-115
OPTIMALITY AND REACHABILITY WITH FEEDBACK CONTROL, Pages 119-141
OPTIMIZATION AND CONTROLLABILITY IN PROBLEMS OF RELATIVISTIC DYNAMICS AND OF GEOMETRICAL OPTICS, Pages 143-207
SOME RELATIONS BETWEEN OPTIMAL CONTROL THEORY AND CLASSICAL MECHANICS, Pages 209-231
MODELING OF DYNAMICAL SYSTEMS USING EXTERNAL AND INTERNAL VARIABLES WITH APPLICATIONS TO HAMILTON SYSTEMS, Pages 233-264
SOME REFLECTIONS ON HAMILTONIAN FORMALISM, Pages 267-279
ON THE LAGRANGE REPRESENTATION OF A SYSTEM OF NEWTON EQUATIONS, Pages 281-292
CONSERVATION LAWS AND A HAMILTON-JACOBI-LIKE METHOD IN NONCONSERVATIVE MECHANICS, Pages 293-301
ON THE VALIDITY LIMITS OF HAMILTONIAN MECHANICS AND A WAY OF GOING BEYOND THEM, Pages 303-317
ADIABATICAL INVARIANTS IN LINEAR DYNAMICAL SYSTEMS PERIODICALLY DEPENDING ON TIME, WITH AN APPLICATION TO THE STATISTICAL FLUCTUATIONS OF MATHIEU OSCILLATORS, Pages 321-328
ADIABATICAL INVARIANTS IN NONLINEAR DYNAMICAL SYSTEMS PERIODICALLY DEPENDING ON TIME, WITH AN APPLICATION TO THE PARAMETRICAL RESONANCE IN A PHYSICAL (NONLINEAR) PENDULUM, Pages 329-341
A THEOREM ON PHASE-LOCKING IN TWO INTERACTING CLOCKS (THE HUYGHENS EFFECT), Pages 343-352
SIMPLE CLOSED GEODESICS ON SURFACES, Pages 353-363
SOME TOPICS IN THE QUANTUM THEORY OF MEASUREMENT, Pages 367-387
LIGHT-CONE QUANTIZATION OF GAUGE THEORIES WITH PERIODIC BOUNDARY CONDITIONS, Pages 389-400
SOLUTIONS OF GENERALISED THEORIES OF GRAVITATION DERIVED FROM A MODIFIED DOUBLE DUALITY CONDITION, Pages 403-407
DYNAMICAL SYSTEMS AND MICROPHYSICS: A WISH, Pages 409-414
NON-EQUILIBRIUM ENTROPY FOR KOLMOGOROV DYNAMICAL SYSTEMS, Pages 415-423
BIMETRIC MACHIAN GRAVITATION : GENERAL THEORY AND COSMOLOGY, Pages 425-430
MECHANICS AND THE NOTION OF OBSERVABLES, Pages 431-436
THE MEANING OF THE LAGRANGIAN, Pages 437-441
A CLASSICAL THEORY OF EXTENDED PARTICLES WITH THE PAULI EXCLUSION PRINCIPLE, Pages 443-448
SOME REMARKS ON STATE REVERSIBILITY AND IRREVERSIBILITY IN SYSTEM THEORY, Pages 449-454
SYMPLECTIC STRUCTURES, ENERGY-MOMENTUM FUNCTIONS, AND HAMILTON EQUATIONS IN THEORIES OF GRAVITY, Pages 455-459
STOCHASTIC CALCULUS OF VARIATIONS, STOCHASTIC CONTROL, AND QUANTUM DYNAMICS, Pages 461-465