Symmetry and perturbation theory in nonlinear dynamics

This book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical syst...

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Detalles Bibliográficos
Autores principales: Cicogna, Giampaolo, Gaeta, Giuseppe, 1959-...., mathématicien (Autor)
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colección:Lecture notes in physics. M, Monographs 57
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Edition sous un autre format:• Symmetry and perturbation theory in nonlinear dynamics, Giampaolo Cicogna, Giuseppe Gaeta, 1999, Berlin, Springer, 1 vol. (XI-208 p.), Lecture notes in physics, 3-540-65904-8
• Symmetry and perturbation theory in nonlinear dynamics, Giampaolo Cicogna, Giuseppe Gaeta, 1999, Berlin, Springer, 1 vol. (XI-208 p.), Lecture notes in physics, 3-540-65904-8
• Symmetry and Perturbation Theory in Nonlinear Dynamics, Texte imprimé, 9783662142264
Tabla de Contenidos:
  • Symmetry and Differential Equations
  • Dynamical Systems
  • Symmetries of Dynamical Systems
  • Normal Forms and Symmetries for Dynamical Systems
  • Normal Forms and Symmetries for Hamiltonian Systems
  • Convergence of the Normalizing Transformations
  • Invariant Manifolds
  • Further Normalization
  • Asymptotic Symmetries.