Classification of global phase portraits of a system of Liénard type

DOI10.1006/jmaa.1995.1234zbMath0840.34020OpenAlexW2060892459MaRDI QIDQ1900653

Jitsuro Sugie, Tadayuki Hara

Publication date: 1 November 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1234

zbMATH Keywords

periodic solutionsconservative systemsseparatricesglobal phase portraitsLiénard differential equationdeformed mirror symmetry

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (10)

An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type ⋮ Conditions for polynomial Liénard centers ⋮ Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses ⋮ Limit cycles of a class of Liénard systems derived from state-dependent impulses ⋮ Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems ⋮ The center conditions and local bifurcation of critical periods for a Liénard system ⋮ Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis ⋮ A geometric approach to periodically forced dynamical systems in presence of a separatrix ⋮ Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems ⋮ An algebraic approach to the classification of centers in polynomial Liénard systems

This page was built for publication: Classification of global phase portraits of a system of Liénard type