Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber
DOI10.1007/s11784-022-00977-2OpenAlexW4294266532MaRDI QIDQ2675376
Xuemeng Shan, Shengjun Li, Zaitao Liang, Feng Wang, Xin Li
Publication date: 23 September 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-022-00977-2
periodic solutionsLyapunov stabilitytwist coefficientdispersion-managed solitonssingular planar systems
Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonautonomous smooth dynamical systems (37C60)
Cites Work
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- Lyapunov stability of elliptic periodic solutions of nonlinear damped equations
- Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem
- Multiple periodic solutions of Hamiltonian systems confined in a box
- A combined variational-topological approach for dispersion-managed solitons in optical fibers
- Rotation numbers and Lyapunov stability of elliptic periodic solutions
- The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator
- The index of Lyapunov stable fixed points in two dimensions
- Lyapunov stability for regular equations and applications to the Liebau phenomenon
- Twist periodic solutions of repulsive singular equations
- Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
- Periodic solutions of a Newtonian equation: Stability by the third approximation
- The Lyapunov stability for the linear and nonlinear damped oscillator with time-periodic parameters
- Radial stability of periodic orbits of damped Keplerian-like systems
- Existence and stability of periodic oscillations of a smooth and discontinuous oscillator
- Positive periodic solution for generalized Basener-Ross model
- Mathematical models with singularities. A zoo of singular creatures
- Lyapunov stability of periodic solutions of Brillouin type equations
- Positive periodic solutions for planar differential systems with repulsive singularities on the axes
- Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass
- Radially stable periodic solutions for radially symmetric Keplerian-like systems
- Two-point boundary value problems. Lower and upper solutions
- Nonlinear dynamics of atomic–force–microscope probes driven in Lennard–Jones potentials
- Lyapunov stability of periodic solutions of the quadratic Newtonian equation
- Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
- THE BEST BOUND ON THE ROTATIONS IN THE STABILITY OF PERIODIC SOLUTIONS OF A NEWTONIAN EQUATION
- A monotone iterative scheme for a nonlinear second order equation based on a generalized anti–maximum principle
- Nonlinear dynamics of differential equations with attractive–repulsive singularities and small time‐dependent coefficients
- Modulated amplitude waves with non-trivial phase of multi-component Bose–Einstein condensates in optical lattices
- Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients
- Existence and stability of periodic solutions for second-order semilinear differential equations with a singular nonlinearity
- Averaging methods in nonlinear dynamical systems
- Twist periodic solutions for differential equations with a combined attractive-repulsive singularity
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