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Foundations Of Mechanics

https://doi.org/10.1119/1.1974504

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References

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On the Geometry of pp-Wave Type Spacetimes

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Parameterless Isomap with Adaptive Neighborhood Selection

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Constrained Hamiltonian systems

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Introduction

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Reduction of degenerate lagrangians and the symplectic reduction theorem

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Formal quantization of quadratic momentum observables

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Cohomology and locally-Hamiltonian dynamical systems

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Classical limit and quantization of hamiltonian systems

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Geometric Aspects of Mechanics

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On the Prediction of Chaos in the Restricted Three-Body Problem

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On the Geometry of pp-Wave Type Spacetimes

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Dynamical Theory of Relaxation in Classical and Quantum Systems

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Gravitational Lensing from a Geometric Viewpoint

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Some remarks on classical, quantum and stochastic dynamical systems

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Controlling Chaos through parametric excitations

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Geometric quantization: Regular representations and modular algebras

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Presymplectic manifolds and conservation laws

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Hamiltonian Perturbation Theory (and Transition to Chaos)

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Periodic Orbits of Hamiltonian Systems

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Synergetics: Basic Concepts

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Symplectic Connections of Ricci Type and Star Products

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AN INTRODUCTION TO QUANTUM EQUIDISTRIBUTION

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Some aspects of finite-dimensional Hamiltonian dynamics

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Phase Plots of Temporal Oscillations

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Introduction

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Nonlinear State Space H ∞ Control Theory

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Symmetry Methods in Collisionless Many-Body Problems

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Obstructions to Quantization

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A Symplectic Integrator for Riemannian Manifolds

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Conservative and Approximately Conservative Algorithms on Manifolds

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Optimal Control, Optimization, and Analytical Mechanics

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The Geometry of Controlled Mechanical Systems

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Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms

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Curved Wiener Space Analysis

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On Dynamical Systems and the Minimal Surface Equation

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Steve Smale and Geometric Mechanics

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Rough Classification of Integrable Hamiltonians on Four-Dimensional Symplectic Manifolds

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Another Look at the Brayton-Moser Network Equations

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Projective Quadrics, Poles, Polars, and Legendre Transformations

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Model matching for linear Hamiltonian systems

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Free Local Extrema of Differentiable Functionals and the Calculus of Variations

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Conservation Laws and Their Application in Global Differential Geometry

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Four Applications of Nonlinear Analysis to Physics and Engineering

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Bifurcation, Catastrophe, and Turbulence

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Canonical Transformation Theory and Generalizations

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Perturbation Methods for Hamiltonian Systems. Generalizations

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A Duality Principle in Nonholonomic Mechanical Systems

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Symmetries in The Lagrangian And Hamiltonian Formalism: The Equivariant Inverse Problem

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Control Paradigms and Self-Organization in Living Systems

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Synergetics

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Broken Symmetry, Emergent Properties, Dissipative Structures, Life

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Dynamics and Self-Organization

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Differentiable Dynamical Systems

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Personal Perspectives on Mathematics and Mechanics

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Lie Transform Tutorial — II

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Momentum Mappings And Reduction of Poisson Actions

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Compactification d’Actions de ℝ n et Variables Action-Angle avec Singularités

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Invariant Tori and Cylinders for a Class of Perturbed Hamiltonian Systems

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Optimal Control of Deformable Bodies and Its Relation to Gauge Theory

inferred← citeshttps://doi.org/10.1007/978-1-4614-1806-1_74openalex-snapshot

Periodic Orbits of Hamiltonian Systems

inferred← citeshttps://doi.org/10.1007/978-1-4614-3740-6_6openalex-snapshot

Vibrations of Mechanical Systems

inferred← citeshttps://doi.org/10.1007/978-1-4614-7825-6_1openalex-snapshot

Introduction

inferred← citeshttps://doi.org/10.1007/978-1-4614-7825-6_8openalex-snapshot

Dynamics of Rotational Movements

inferred← citeshttps://doi.org/10.1007/978-1-4614-7825-6_9openalex-snapshot

Central Forces and Kepler’s Laws

inferred← citeshttps://doi.org/10.1007/978-1-4615-0199-2_8openalex-snapshot

Symmetric Periodic Orbits for the Collinear 3-body Problem Via the Continuation Method

inferred← citeshttps://doi.org/10.1007/978-1-4615-2568-4_69openalex-snapshot

Classical Phase Space Structure Induced by Spontaneous Symmetry Breaking

inferred← citeshttps://doi.org/10.1007/978-1-4615-3176-0_10openalex-snapshot

Optimal Nonholonomic Motion Planning for a Falling Cat

inferred← citeshttps://doi.org/10.1007/978-1-4615-3588-1_6openalex-snapshot

Attitude Control of Space Platform/Manipulator System Using Internal Motion

inferred← citeshttps://doi.org/10.1007/978-1-4615-5921-4_6openalex-snapshot

On a Path to Nonlinear Quantum Mechanics

inferred← citeshttps://doi.org/10.1007/978-1-4615-7831-4_21openalex-snapshot

Hamiltonian Mechanics and Geometry

inferred← citeshttps://doi.org/10.1007/978-1-4684-0364-0_2openalex-snapshot

Potential Flow and Slightly Viscous Flow

inferred← citeshttps://doi.org/10.1007/978-1-4684-3737-9_2openalex-snapshot

Foundations of Theoretical Chemistry

inferred← citeshttps://doi.org/10.1007/978-1-4684-5655-4_14openalex-snapshot

Chaos and Collisions: Introductory Concepts

inferred← citeshttps://doi.org/10.1007/978-1-4684-5997-5_2openalex-snapshot

Chaos in the Three Body Problem

inferred← citeshttps://doi.org/10.1007/978-1-4684-9320-7_1openalex-snapshot

Basic Theory of ODE and Vector Fields

inferred← citeshttps://doi.org/10.1007/978-1-4757-2140-9_13openalex-snapshot

Géométrie des systèmes mécaniques à liaisons actives

inferred← citeshttps://doi.org/10.1007/978-1-4757-2140-9_7openalex-snapshot

Higher Order Regular Variational Problems

inferred← citeshttps://doi.org/10.1007/978-1-4757-2140-9_9openalex-snapshot

The Rotor and the Pendulum

inferred← citeshttps://doi.org/10.1007/978-1-4757-3805-6_14openalex-snapshot

Mechanics

inferred← citeshttps://doi.org/10.1007/978-1-4757-4187-2_7openalex-snapshot

Connections and Curvature

inferred← citeshttps://doi.org/10.1007/978-1-4757-4190-2_6openalex-snapshot

Einstein’s Equations

inferred← citeshttps://doi.org/10.1007/978-1-4899-1060-8_19openalex-snapshot

From the Poincaré-Cartan Form to a Gerstenhaber Algebra of Poisson Brackets in Field Theory

inferred← citeshttps://doi.org/10.1007/978-1-4899-1060-8_4openalex-snapshot

Modular Structures in Geometric Quantization

inferred← citeshttps://doi.org/10.1007/978-1-4899-1537-5_1openalex-snapshot

Quantization on a Lie Group: Higher-Order Polarizations

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