A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay
DOI10.1007/s11431-011-4487-9zbMath1250.34056OpenAlexW2024417956MaRDI QIDQ413056
JunYu Li, Li Zhang, Zaihua Wang
Publication date: 4 May 2012
Published in: Science China. Technological Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11431-011-4487-9
stabilitycharacteristic functionperiodic solutiontime-delay systemLambert W functionweakly nonlinear
Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Perturbations of functional-differential equations (34K27)
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- Delay differential equations: with applications in population dynamics
- Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback
- Robust stability analysis of linear time-delay systems by Lambert \(W\) function: some extreme point results
- Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback
- Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator
- A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems
- Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance
- Resonances of a harmonically forced Duffing oscillator with time delay state feedback
- On the Lambert \(w\) function
- Control of chaos via extended delay feedback
- Delay differential equations via the matrix Lambert \(W\) function and bifurcation analysis: application to machine tool chatter
- A note on the use of the Lambert W function in the stability analysis of time-delay systems
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Applied Delay Differential Equations
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