Stable odd solutions of some periodic equations modeling satellite motion.

DOI10.1016/S0022-247X(03)00057-XzbMath1034.34051OpenAlexW2096994853MaRDI QIDQ1874626

Pedro J. Torres, Daniel E. Nuñez

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00057-x

zbMATH Keywords

stabilityexistenceLyapunov stabilityperiodic boundary value problemsatellite motionsatellite equationStable odd solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (10)

Twist periodic solutions in the relativistic driven harmonic oscillator ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations ⋮ On the chaotic behavior of the satellite hyperion ⋮ On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions ⋮ On a class of singular Sturm-Liouville periodic boundary value problems ⋮ Periodic solutions for a dumbbell satellite equation ⋮ On the motion of an oscillator with a periodically time-varying mass ⋮ Some Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problem ⋮ Twist character of the fourth order resonant periodic solution ⋮ Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass

Cites Work

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• The twist coefficient of periodic solutions of a time-dependent Newton's equation
• Periodic solutions of nonlinear second-order equations which are not solved for the highest derivative
• The index of Lyapunov stable fixed points in two dimensions
• Chaos in nonlinear planar oscillation of a satellite in an elliptical orbit under the influence of third body torque
• Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization.
• The method of lower and upper solutions and the stability of periodic oscillations
• Periodic solutions of twist type of an Earth satellite equation.
• Periodic solutions of a Newtonian equation: Stability by the third approximation
• On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit
• Note on a differential equation describing the periodic motion of a satellite in its elliptical orbit
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• On periodic solutions of a certain nonlinear equation
• Stability of planar oscillations of a satellite in an elliptic orbit
• Multiple solutions for a nonlinear second order differential equation

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