Periodic Perturbations of a Class of Functional Differential Equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09928-2
Abstract: We study the existence of a connected “branch” of periodic solutions of T -periodic perturbations of a particular class of functional differential equations on differentiable manifolds. Our result is obtained by a combination of degree-theoretic… read more here.
Keywords: functional differential; class functional; equations periodic; differential equations ... See more keywords
Chronotherapy of cancer: periodic perturbations in vascular growth and metastasis
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DOI: 10.1080/09291016.2018.1465698
Abstract: Abstract A non-autonomous model was developed for vascular tumor growth and cancer metastasis under periodic perturbations that simulate chronotherapy. It was found that for a critical amplitude and a perturbation frequency of twice the autonomous… read more here.
Keywords: frequency; vascular growth; metastasis; periodic perturbations ... See more keywords
Heteroclinic Transition Motions in Periodic Perturbations of Conservative Systems with an Application to Forced Rigid Body Dynamics
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DOI: 10.1134/s1560354718040056
Abstract: We consider periodic perturbations of conservative systems. The unperturbed systems are assumed to have two nonhyperbolic equilibria connected by a heteroclinic orbit on each level set of conservative quantities. These equilibria construct two normally hyperbolic… read more here.
Keywords: conservative systems; perturbations conservative; transition motions; periodic orbits ... See more keywords
Periodic perturbations of reducible scalar second order functional differential equations
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DOI: 10.14232/ejqtde.2023.1.18
Abstract: Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type… read more here.
Keywords: equations periodic; order functional; periodic perturbations; second order ... See more keywords