Delay-periodic solutions and their stability using averaging in delay-differential equations, with applications

DOI10.1016/j.physd.2012.06.001zbMath1276.34044OpenAlexW1984864696MaRDI QIDQ1926268

Richard Haberman, Thomas Erneux, Thomas W. Carr

Publication date: 28 December 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/133148/1/PhysicaDCarr.pdf

zbMATH Keywords

delaydifferential equationaveragingperiodic

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (1)

Periodic pulsating dynamics of slow–fast delayed systems with a period close to the delay

Uses Software

• DDE-BIFTOOL
• dde23

Cites Work

• Unnamed Item
• Infinite subharmonic bifurcation in an SEIR epidemic model
• An SIR epidemic model with partial temporary immunity modeled with delay
• Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonlinear dynamics in a laser with a negative delayed feedback
• Ordinary and delay differential equations
• Introduction to functional differential equations
• Bi-instability and the global role of unstable resonant orbits in a driven laser
• Asymptotic methods for delay equations
• Synchronous versus asynchronous oscillations for antigenically varyingPlasmodium falciparumwith host immune response
• Delayed‐Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances
• Applied Delay Differential Equations
• Solving DDEs in Matlab

This page was built for publication: Delay-periodic solutions and their stability using averaging in delay-differential equations, with applications