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On the Integrability of A Class of Natural Hamiltonian Systems

Speaker

Jaume Llibre, Universitat Autonoma de Barcelona

Time

2018.11.07 10:00-11:00

Venue

Large Conference Room, Math Building

Abstract

We shall present the known results and some open questions on the integrability of the Hamiltonian systems with two degrees of freedom having a Hamiltonian of the form H = (p_1^2 +p_2^2)/2 + V(q_1,q_2), where the potential V(q_1,q_2) is a homogeneous function. The Hamiltonians of this kind are known as natural Hamiltonians.