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Variational and Local Methods in The Study of Hamiltonian Systems cover

In this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local point of view and the point of view of global analysis.


Contents:
  • Fermat Principles in General Relativity and the Existence of Light Rays on Lorentzian Manifolds (D Fortunato & A Masiello)
  • Some Recent Results Concerning Quasi-Periodic Solutions for a Nonlinear String Equation (J Pöschel)
  • Homoclinics for a Singular Hamiltonian System in R2 (P H Rabinowitz)
  • Hamiltonian Systems and Nonlinear Dirac Equations (E Séré)
  • Multiplicity of Homoclinic Orbits in Fourth-Order Conservative Systems (B Buffoni)
  • Asymptotic Behaviour for a Class of Multibump Solutions to Duffing-Like Systems (P Caldiroli et al.)
  • On a Class of Strongly Indefinite Functionals (D G Costa & C A Magalhães)
  • Transversal Intersection of Separatrices and Non-Existence of an Analytical Integral in Multi-Dimensional Systems (S A Dovbysh)
  • On the Periodic Solutions of n-Body Type Problems (H Riahi)
  • Odd Poisson Bracket in Hamilton's Dynamics (V A Soroka)
  • Non-Collision Periodic Solutions of Fixed Energy for a Symmetric n-Body Type Problem (E Vitillaro)
  • and other papers

Readership: Pure and applied mathematicians (dynamical systems).