Phase portraits for some symmetric Riccati cubic polynomial differential equations

DOI10.1016/j.topol.2017.11.023zbMath1382.37020OpenAlexW2769706631MaRDI QIDQ1688218

Claudia Valls, Jaume Llibre, Regilene D. S. Oliveira

Publication date: 5 January 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/199346

zbMATH Keywords

vector fieldequivariancereversibilityphase portraitRiccati differential system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)

Related Items (2)

Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials ⋮ Bifurcations of the Riccati Quadratic Polynomial Differential Systems

Cites Work

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• Reversible equivariant linear systems
• Qualitative theory of planar differential systems
• Riccati differential equations
• Periodic solutions of periodic Riccati equations
• Classification of Continuous Flows on 2-Manifolds
• The Riccati Equation: Pinching of Forcing and Solutions
• The use of fake algebraic riccati equations for co-channel demodulation

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