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Qualitative analysis of the anisotropic two-body problem with generalized Lennard-Jones potential

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Publication:1934320
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DOI10.1007/s10910-012-0057-zzbMath1310.70021OpenAlexW2054988037MaRDI QIDQ1934320

Claudia Valls, Daniel Paşca

Publication date: 28 January 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0057-z

zbMATH Keywords

chaosMelnikov methodanisotropic two-body problemgeneralized Lennard-Jones potential


Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical systems in classical and celestial mechanics (37N05)


Related Items

Anisotropic two-body problem under the Buckingham potential, Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian, Solutions of the generalized Lennard-Jones system



Cites Work

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  • The two-body problem with generalized Lennard-Jones potential
  • Isolated unstable periodic orbits
  • Interatomic forces and gas theory from Newton to Lennard-Jones
  • An approach to Mel’nikov theory in celestial mechanics
  • Computational Chemistry
  • The Kepler problem with anisotropic perturbations
  • ON THE ANISOTROPIC POTENTIALS OF MANEV–SCHWARZSCHILD TYPE
  • Reversible Diffeomorphisms and Flows
  • Cohesion
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