On the Integrability of Three Equal Masses Interacting through Morse-Type Potentials

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概要

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• We present a variety of numerical evidence indicating that three equal masses interacting through Morse-type potentials V_σ(r)=C[exp(-2br)-2σexp(-br/σ)] behave under periodic boundary conditions like an integrable Hamiltonian system. The evidence includes detailed Poincare surface of section maps, orbit pair separation behavior, Liapunov numbers and is supported by selected power spectrum and residue method computations. For σ=1 and 10, no nonintegrable behavior was detected by any of these methods for energies up to 100000. We conjecture integrability for all integer σ>0.

• 理論物理学刊行会の論文
• 1981-05-25

著者

• Ali M.k.

  Division Of Chemistry National Research Council Of Canada

• Somorjai R.l.

  Division Of Chemistry National Research Council Of Canada

関連論文

• Reappearance of Ordered Motion in Non-Integrable Hamiltonian Systems : The Strong Coupling Case
• On the Integrability of Three Equal Masses Interacting through Morse-Type Potentials

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