Parabolic fixed points and stability criteria for nonlinear Hill's equation

DOI10.1007/PL00001528zbMath0973.34046OpenAlexW1981835896MaRDI QIDQ5931072

Daniel E. Nuñez, Rafael Ortega

Publication date: 2 May 2001

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001528

zbMATH Keywords

stabilitypendulumparabolic pointsperiodic differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (17)

The stability of the elliptic equilibrium of planar quasi-periodic Hamiltonian systems ⋮ The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems ⋮ Lyapunov stability of periodic solutions of the quadratic Newtonian equation ⋮ The stability of the equilibrium of planar Hamiltonian and reversible systems ⋮ Twist periodic solutions in the relativistic driven harmonic oscillator ⋮ The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition ⋮ Dynamical stability of quasi-periodic response solutions in planar conservative systems ⋮ The Lyapunov stability for the linear and nonlinear damped oscillator with time-periodic parameters ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations ⋮ Boundedness in asymmetric oscillations under the non-resonant case ⋮ Comparisons between the pendulum with varying length and the pendulum with oscillating support ⋮ The stability of the equilibrium of the damped oscillator with damping changing sign ⋮ Resonance tongues in the linear Sitnikov equation ⋮ The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator ⋮ On the motion of an oscillator with a periodically time-varying mass ⋮ Twist character of the fourth order resonant periodic solution ⋮ The method of lower and upper solutions and the stability of periodic oscillations

This page was built for publication: Parabolic fixed points and stability criteria for nonlinear Hill's equation