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Molecular theory. --- Symmetry (Physics) --- Group theory. --- Théorie moléculaire --- Symétrie (Physique) --- Groupes, Théorie des --- Théorie des groupes --- Théorie moléculaire --- Symétrie (Physique) --- Théorie des groupes

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Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Hamiltonian systems. --- Symmetry. --- Nonlinear mechanics. --- Systèmes hamiltoniens --- Symétrie --- Mécanique non linéaire --- Physics. --- Topological Groups. --- Differentiable dynamical systems. --- Mathematical physics. --- Engineering. --- Mathematical and Computational Physics. --- Complexity. --- Dynamical Systems and Ergodic Theory. --- Topological Groups, Lie Groups. --- Hamiltonian systems --- Symmetry --- Nonlinear mechanics --- Mathematical Theory --- Applied Physics --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Mechanics, Nonlinear --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Construction --- Physical mathematics --- Physics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Groups, Topological --- Natural philosophy --- Philosophy, Natural --- Topological groups. --- Lie groups. --- Dynamics. --- Ergodic theory. --- System theory. --- Theoretical, Mathematical and Computational Physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physical sciences --- Dynamics --- Systems, Theory of --- Systems science --- Science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Philosophy --- Statistical physics. --- Mathematical statistics --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Statistical methods --- Spectral theory (Mathematics) --- Functional analysis --- Hilbert space --- Dynamical systems.