Periodic perturbations with delay of separated variables differential equations
Luca Bisconti, Marco Spadini
TL;DR
This paper investigates the harmonic solutions of T-periodic separated variables differential equations on manifolds, considering perturbations with delays and periodicity in time, to understand their structure and behavior.
Contribution
It introduces an analysis of harmonic solutions in delayed, perturbed, T-periodic separated variables ODEs on manifolds, expanding understanding of their solution structure.
Findings
Characterization of harmonic solutions under delay perturbations
Impact of periodic perturbations on solution structure
Extension of existing theory to delayed differential equations
Abstract
We study the structure of the set of harmonic solutions to perturbed nonautonomous, T-periodic, separated variables ODEs on manifolds. The perturbing term is allowed to contain a finite delay and to be T-periodic in time.
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Taxonomy
TopicsModeling and Simulation Systems · Numerical methods for differential equations · Stability and Controllability of Differential Equations