Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model
DOI10.1137/15M1033228zbMath1371.34025OpenAlexW2418077877MaRDI QIDQ2812224
Hamed Razavi, Fred C. Adams, Rohit Gupta, Anthony M. Bloch
Publication date: 16 June 2016
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1033228
Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On periodic orbits of nonlinear dynamical systems with many degrees of freedom
- A theorem for \(n\)-dimensional strongly non-linear dynamical systems
- Stability regions for Hill's equation
- Stability analysis for systems of nonlinear Hill's equations
- Continuous parameter dependence in linear systems of differential equations
- On a Restricted Class of Coupled Hill’s Equations and Some Applications
- Hill's Equation with Random Forcing Terms
- Stability diagrams for coupled Mathieu-equations
- Asymptotic Behavior of Stability Regions for Hill’s Equation
- Energy methods for stability of bilinear systems with oscillatory inputs
- Classical and quantum modes of coupled Mathieu equations
- Estimates on the Stability Intervals for Hill's Equation
This page was built for publication: Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model
