Hamiltonian Mechanics

1. Front Matter

   Pages i-x

   PDF

2. Invited papers

   1. Non-Integrability Criterion of Hamiltonian Systems based on Ziglin’s Theorem and its Relation to the Singular Point Analysis

      • Haruo Yoshida

      Pages 1-12

   2. Averaging under Fast Quasiperiodic Forcing

      • Carles Simó

      Pages 13-34

   3. Natural Boundaries of Normalizing Transformations

      • Luca Billi, Monica Malavasi, Giorgio Turchetti

      Pages 35-42

   4. Singular Perturbation in Hamiltonian Mechanics

      • A. D. Bruno

      Pages 43-49

   5. The Structure of Chaos

      • G. Contopoulos

      Pages 51-71

   6. From Integrability to Chaos: Examples of Interrelations between Physics and Dynamics for Minor Bodies in the Solar System

      • C. Froeschlé, Ph. Bendjoya, A. Cellino

      Pages 73-88

   7. Successive Elimination of Harmonics: A way to Explore the Resonant Structure of a Hamiltonian System

      • A. Morbidelli

      Pages 89-101

   8. Periodic Solutions of Nonlinear Schrödinger Equations and the Nash-Moser Method

      • Walter Craig, C. Eugene Wayne

      Pages 103-122

   9. On the Tendency Toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian Systems

      • Lyman Hurd, Celso Grebogi, Edward Ott

      Pages 123-129

   10. Gibbsian Check of the Validity of Gibbsian Calculation through Dynamical Observables

       • Dominique F. Escande, Holger Kantz, Roberto Livi, Stefano Ruffo

       Pages 131-138

   11. Adiabatic Invariants and Time Scales for Energy Sharing in Models of Classical Gases

       • Giancarlo Benettin

       Pages 139-151

   12. Numerical Integration of Hamiltonian Systems in the Presence of Additional Integrals: Application of the Observer Method

       • Andrzej J. Maciejewski, Jean-Marie Strelcyn

       Pages 153-165

   13. Symmetries and Topology of Dynamical Systems with two Degrees of Freedom

       • Valery Kozlov

       Pages 167-172

3. Contributed papers

   1. Variational Criteria for Nonintegrability and Chaos in Hamiltonian Systems

      • Sergey Bolotin

      Pages 173-179

   2. Exponentially Small Splitting in Hamiltonian Systems

      • Amadeu Delshams, Tere M. Seara

      Pages 181-187

   3. Integrable and Chaotic Behaviour in the Paul Trap and the Hydrogen Atom in a Generalized van der Waals Potential

      • David Farrelly, James E. Howard, T. Uzer

      Pages 189-196

   4. Recent Applications of Hamiltonian Dynamics to Accelerator Physics

      • Ezio Todesco

      Pages 197-204

   5. Singularity Analysis of 2D Complexified Hamiltonian Systems

      • S. Abenda, A. Bazzani

      Pages 205-212

   6. Perturbation Theory for Systems without Global Action-Angle Coordinates

      • Francesco Fassò

      Pages 213-220

This volume contains invited papers and contributions delivered at the International Conference on Hamiltonian Mechanics: Integrability and Chaotic Behaviour, held in Tornn, Poland during the summer of 1993. The conference was supported by the NATO Scientific and Environmental Affairs Division as an Advanced Research Workshop. In fact, it was the first scientific conference in all Eastern Europe supported by NATO. The meeting was expected to establish contacts between East and West experts as well as to study the current state of the art in the area of Hamiltonian Mechanics and its applications. I am sure that the informal atmosphere of the city of Torun, the birthplace of Nicolaus Copernicus, stimulated many valuable scientific exchanges. The first idea for this cnference was carried out by Prof Andrzej J. Maciejewski and myself, more than two years ago, during his visit in Greece. It was planned for about forty well-known scientists from East and West. At that time participation of a scientist from Eastern Europe in an Organising Committee of a NATO Conference was not allowed. But always there is the first time. Our plans for such a "small" conference, as a first attempt in the new European situation -the Europe without borders -quickly passed away. The names of our invited speakers, authorities in their field, were a magnet for many colleagues from all over the world.

• Hamiltonian
• Potential
• bifurcation
• chaos
• cosmology
• dynamical system
• dynamical systems
• invariant
• mechanics
• solar system
• solution
• thermodynamics
• topology
• turbulence

• University of the Aegean, Samos, Greece

  John Seimenis

• N. Copernicus University, Torun, Poland

  John Seimenis

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