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D. Treschev (2016)
A locally integrable multi-dimensional billiard systemDiscrete and Continuous Dynamical Systems, 37
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Our main result is the complete set of explicit conditionsnecessary and sufficient for isochronicity of a Hamiltoniansystem with one degree of freedom. The conditions arepresented in terms of Taylor coefficients of the Hamiltonianfunction.
Regular and Chaotic Dynamics – Springer Journals
Published: Mar 1, 2022
Keywords: isochronicity; superintegrability; normal forms; Hamiltonian dynamics
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