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Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs
Joan Gimeno, Jean-Philippe Lessard, J. D. Mireles James +1
A computer-assisted argument is given, which provides existence proofs for periodic orbits in state-dependent delayed perturbations of ordinary differential equations (ODEs). Assum…
math.DS2021
Persistence and Smooth Dependence on Parameters of Periodic Orbits in Functional Differential Equations Close to an ODE or an Evolutionary PDE
Jiaqi Yang, Joan Gimeno, Rafael de la Llave
We consider functional differential equations(FDEs) which are perturbations of smooth ordinary differential equations(ODEs). The FDE can involve multiple state-dependent delays or…