Periodic perturbations of an isochronous center.

DOI10.1007/BF02969334zbMath1043.34049MaRDI QIDQ1415968

Rafael Ortega

Publication date: 9 December 2003

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

zbMATH Keywords

resonanceunbounded solutionperiodic forcing

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99)

Related Items (12)

Positively homogeneous Hamiltonian systems in the plane ⋮ Bound-preserving operators and Bernstein type inequalities ⋮ Loss of energy concentration in nonlinear evolution beam equations ⋮ Stable and unstable endemic solutions in the seasonally forced SIR epidemic model ⋮ Resonance of Isochronous Oscillators ⋮ Periodic oscillators, isochronous centers and resonance ⋮ Resonance of bounded isochronous oscillators ⋮ Boundedness in forced isochronous oscillators ⋮ From isochronous potentials to isochronous systems ⋮ Quasi-periodic solutions of forced isochronous oscillators at resonance ⋮ Positive periodic solutions for planar differential systems with repulsive singularities on the axes ⋮ On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center

Cites Work

• Isochronicity for several classes of Hamiltonian systems
• Boundary-value problems for weakly nonlinear ordinary differential equations
• On Littlewood’s problem for the asymmetric oscillator
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
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