Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential

DOI10.1016/J.JDE.2016.08.024zbMath1360.34072OpenAlexW2514380953MaRDI QIDQ324087

Claudio Vidal, Y. Paulina Martínez

Publication date: 10 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.08.024

zbMATH Keywords

topological equivalencephase portraitrational Hamiltonian

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (6)

Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\) ⋮ Phase portraits of planar piecewise linear refracting systems: focus-saddle case ⋮ Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type ⋮ Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials ⋮ Phase portraits and bifurcation diagram of the Gray-Scott model ⋮ The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method

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