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A hybrid numerical method for analysis of dynamics of the classical Hamiltonian systems

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Publication:1376708
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DOI10.1016/S0898-1221(97)00117-XzbMath0896.70002MaRDI QIDQ1376708

P. G. Akishin, S. I. Vinitskij, I. V. Puzynin

Publication date: 6 October 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

Poincaré sectionssingular pointsCauchy problemTaylor seriesToda modelHénon-Heiles modelcollision transition operatorssystem of Coulomb particlesthree-body gravitational system on line


Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05)


Related Items

Projected explicit and implicit Taylor series methods for DAEs



Cites Work

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  • A completely integrable case in three-particle problems with homogeneous potentials
  • Theory of nonlinear lattices
  • Triple collision in the collinear three-body problem
  • Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
  • Der Dreierstoss
  • A global regularisation of the gravitationalN-body problem
  • The three-body problem near triple collision
  • Chaos in the one-dimensional gravitational three-body problem
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