Topological Classification of Some SD Hamiltonian Systems

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Abstract

In this paper we classify the phase portraits in the Poincaré disk of the Smooth and Discontinuous (SD) Hamiltonian system with the rational Hamiltonian function H(x,y)=y2/2+P(x)/Q(x,y), where P(x)=a, ax, ax2 and Q(x,y)=Ax2+By2+C.

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Chen, T., & Llibre, J. (2025). Topological Classification of Some SD Hamiltonian Systems. Differential Equations and Dynamical Systems, 33(1), 97–121. https://doi.org/10.1007/s12591-023-00637-y

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