Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials

DOI10.3934/dcdsb.2020214zbMath1470.34088OpenAlexW3042215508MaRDI QIDQ2033540

Yulin Zhao, Yuzhou Tian

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020214

zbMATH Keywords

Hamiltonian systemsglobal phase portraitsquartic polynomial systemsreversible equivariant

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23)

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