Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles

DOI10.3934/dcdsb.2020225zbMath1470.34083OpenAlexW3045113562MaRDI QIDQ2033555

Montserrat Corbera, Claudia Valls

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.2020225

zbMATH Keywords

phase portraitnilpotent saddlepolynomial Hamiltonian systemsPoincaré compactification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Saddle quantities and applications
• Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
• Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
• Qualitative theory of planar differential systems
• A SURVEY ON THE BLOW UP TECHNIQUE

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