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- W1776092571 abstract "We present an introduction to the orbital stability of relative equilibria of Hamiltonian dynamical systems on (finite and infinite dimensional) Banach spaces. A convenient formulation of the theory of Hamiltonian dynamics with symmetry and the corresponding momentum maps is proposed that allows us to highlight the interplay between (symplectic) geometry and (functional) analysis in the proofs of orbital stability of relative equilibria via the so-called energy-momentum method. The theory is illustrated with examples from finite dimensional systems, as well as from Hamiltonian PDE’s, such as solitons, standing and plane waves for the nonlinear Schrödinger equation, for the wave equation, and for the Manakov system." @default.
- W1776092571 created "2016-06-24" @default.
- W1776092571 creator A5016679363 @default.
- W1776092571 creator A5059026410 @default.
- W1776092571 creator A5091262946 @default.
- W1776092571 date "2015-01-01" @default.
- W1776092571 modified "2023-10-15" @default.
- W1776092571 title "Orbital Stability: Analysis Meets Geometry" @default.
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- W1776092571 doi "https://doi.org/10.1007/978-3-319-19015-0_3" @default.
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