Piecewise discretization of monodromy operators of delay equations on adapted meshes
DOI10.3934/jcd.2022004zbMath1492.65183arXiv2203.11839OpenAlexW4226300632MaRDI QIDQ2136216
Davide Liessi, Rossana Vermiglio, Dimitri Breda
Publication date: 10 May 2022
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11839
stabilityperiodic solutionsdelay differential equationsdelay equationsevolution operatorsadaptive mesheseigenvalue approximationrenewal equationspiecewise polynomialspseudospectral collocation
Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical bifurcation problems (65P30) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical methods for functional-differential equations (65L03)
Related Items (2)
Uses Software
Cites Work
- Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations
- Introduction to functional differential equations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Twin semigroups and delay equations
- Floquet theory and stability of periodic solutions of renewal equations
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- Approximation of Eigenvalues of Evolution Operators for Linear Retarded Functional Differential Equations
- Stability of Linear Delay Differential Equations
- Stability and Bifurcation Analysis of Volterra Functional Equations in the Light of Suns and Stars
- Periodic Solutions in a Model of Recurrent Neural Feedback
- A FitzHugh Differential-Difference Equation Modeling Recurrent Neural Feedback
- Spectral Methods in MATLAB
- Numerical bifurcation analysis of a class of nonlinear renewal equations
- COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
- Convergence Analysis of Collocation Methods for Computing Periodic Solutions of Retarded Functional Differential Equations
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Approximation of Eigenvalues of Evolution Operators for Linear Renewal Equations
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Piecewise discretization of monodromy operators of delay equations on adapted meshes
