Titlebook: Geometry, Mechanics, and Dynamics; Volume in Honor of t Paul Newton,Philip Holmes,Alan Weinstein Book 2002 Springer Science+Business Media

财主

Combinatorial Formulas for Products of Thom Classese moment map associated with its action on . is a perfect Morse function. Let {. .;.∈ . .} be the Morse-Whitney stratification of . associated with this function and let τ. be the equivariant Thom class dual to . .. These classes form a basis of . .(.) as a module over . and, in particular, . with .

semble

Gauge Theory of Small Vibrations in Polyatomic Moleculess and their privileged status are given a geometrical interpretation (the Eckart coordinates are shown to be Riemann normal co-ordinates and the Eckart frame is a non-Abelian version of Poincarù gauge). The Hamiltonian is developed in covariant Taylor series and averaged over rapid vibrations to sec

极大痛苦

STERN

The Lagrangian Averaged Euler (LAE-α) Equations with Free-Slip or Mixed Boundary Conditionsundary conditions, and in the process describe certain features of the Riemannian geometry of new subgroups of the volume-preserving diffeomorphism group, corresponding to free-slip or mixed-type boundary data, thus answering in the affirmative a conjecture of Holm, Marsden, and Ratiu [1998a].

PLUMP

978-1-4419-3034-7Springer Science+Business Media New York 2002

Pert敏捷

The Campaign in the Constituencies,We review the computational procedures involved in transforming a vector field into a suitable normal form about a stationary point, and we introduce an algorithm to compute Poincaré-Dulac normal forms in scenarios where the linearization is not in any particular canonical form. Some examples and applications are presented.

canvass

Diastole

摇曳

Symmetries, Conservation Laws, and ControlIn this paper we describe various aspects of Jerry Marsden’s work and influence on control theory and its connections with mechanics. In particular we trace the role of his key ideas on reduction and symmetries in the setting of nonlinear control.

CESS