The twist coefficient of periodic solutions of a time-dependent Newton's equation
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Publication:1199841
DOI10.1007/BF01048263zbMath0761.34036WikidataQ115394566 ScholiaQ115394566MaRDI QIDQ1199841
Publication date: 17 January 1993
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)
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Stable odd solutions of some periodic equations modeling satellite motion. ⋮ Twist periodic solutions of repulsive singular equations ⋮ Lyapunov stability of periodic solutions of the quadratic Newtonian equation ⋮ Quantifying Poincaré's continuation method for nonlinear oscillators ⋮ Twist periodic solutions in the relativistic driven harmonic oscillator ⋮ The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition ⋮ Periodic solutions for a class of non-autonomous Newton differential equations ⋮ Stability and bifurcations of even periodic orbits in the Sitnikov problem ⋮ 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 ⋮ Radial stability of periodic orbits of damped Keplerian-like systems ⋮ Optimal conditions for maximum and antimaximum principles of the periodic solution problem ⋮ 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
Cites Work
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- Subharmonic solutions for second order differential equations
- On the inversion of some differentiable mappings with singularities between Banach spaces
- Stability of a periodic problem of Ambrosetti-Prodi type
- Generic bifurcations of the twist coefficient
- A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
- Periodic Orbits and Solenoids in Generic Hamiltonian Dynamical Systems
- Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
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