Asymptotics and stability of the delayed Duffing equation
From MaRDI portal
Publication:1743804
DOI10.1016/j.jde.2018.02.029zbMath1395.34079OpenAlexW2793200063WikidataQ130116244 ScholiaQ130116244MaRDI QIDQ1743804
Douglas S. Shafer, David C. Hill
Publication date: 16 April 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.02.029
Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
Related Items (5)
Dynamical analysis of a competition and cooperation system with multiple delays ⋮ Smooth inertial manifolds for neutral differential equations with small delays ⋮ Numerical inclusion of exact periodic solutions for time delay Duffing equation ⋮ Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators ⋮ Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rotated vector fields
- Bifurcation of limit cycles from quadratic isochrones
- Topological conjugacy of singularities of vector fields
- Structural stability and generic properties of planar polynomial vector fields
- Nonlinear differential equations and dynamical systems
- Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane
- Inertial flows, slow flows, and combinatorial identities for delay equations
- Inertial and slow manifolds for delay equations with small delays.
- Bifurcation of limit cycles from quadratic centers
- Evaluating cyclicity of cubic systems with algorithms of computational algebra
- Bifurcation of critical periods of polynomial systems
- Qualitative theory of planar differential systems
- Codimension 2 Symmetric Homoclinic Bifurcations and Application to 1:2 Resonance
- The Center and Cyclicity Problems
- A Class of Planar Quadratic Vector Fields with a Limit Cycle Surrounded by a Saddle Loop
- Restrictions on the Equivalence Homeomorphism in Stability of Polynomial Vector Fields
- Global structural stability of flows on open surfaces
- Classification of Continuous Flows on 2-Manifolds
- Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
- Generic Properties of Polynomial Vector Fields at Infinity
- The Cyclicity of a Cubic System
This page was built for publication: Asymptotics and stability of the delayed Duffing equation