Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method
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Publication:1093822
DOI10.1016/0016-0032(87)90065-2zbMath0629.39002OpenAlexW2017957208MaRDI QIDQ1093822
Publication date: 1987
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0016-0032(87)90065-2
stabilityperiodic solutionssmall parameterlimit cyclesecond-order nonlinear difference equationsmulti-discrete time method
Related Items (8)
Oscillation of higher order neutral functional difference equations with positive and negative coefficients ⋮ On the multiple scales perturbation method for difference equations ⋮ Multiple scales and matched asymptotic expansions for the discrete logistic equation ⋮ On the use of nonstandard finite difference methods† ⋮ A study on periodic solutions of higher order nonlinear functional difference equations withp-Laplacian† ⋮ Calculation of order ϵ dynamics for an NSFD discretization of a cube-root damped oscillator ⋮ An order ε2perturbation procedure for second order nonlinear difference equations ⋮ PERIODICITY AND SOLUTIONS OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS
Cites Work
- Periodic solutions of second-order nonlinear difference equations containing a small parameter
- Periodic solutions of second-order nonlinear difference equations containing a small parameter. II: Equivalent linearization
- Periodic solutions of second-order nonlinear difference equations containing a small parameter. III: Perturbation theory
- Second-order nonlinear difference equations containing small parameters
- Iteration procedure for determining approximate solutions to non-linear oscillator equations
- Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom
- Periodic solutions of finite difference equations
- Multitime Methods for Systems of Difference Equations
- Krylov–Bogoljubov Method for Difference Equations
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