Chini equations and isochronous centers in three-dimensional differential systems

DOI10.1007/s12346-010-0019-4zbMath1364.34055OpenAlexW2082805920MaRDI QIDQ611133

Armengol Gasull, Marc Chamberland

Publication date: 14 December 2010

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/226101

zbMATH Keywords

periodic orbitslimit cyclesisochronous centersAbel equationsChini equations

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) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Existence of at most two limit cycles for some non-autonomous differential equations ⋮ On periodic motions in three-dimensional systems ⋮ BIFURCATION OF ONE-PARAMETER PERIODIC ORBITS OF THREE-DIMENSIONAL DIFFERENTIAL SYSTEMS

Cites Work

• Unnamed Item
• The number of limit cycles for generalized Abel equations with periodic coefficients of definite sign
• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• On the diversity of Poincaré mappings for cubic equations with variable coefficients
• The number of periodic solutions of polynomial differential equations
• Limit Cycles for a Class of Abel Equations
• Qualitative Analysis of a Differential Equation of Abel
• On a Class of Differential Equations of Riccati Type
• Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions
• The Number of Periodic Solutions of the Equation Ż=z ^N +p ₁ (t )z ^{N −1} +…+p _N (t )
• LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS

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