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20202025
most citedPersistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs

1 citations · 2 across the 5 of their papers we have counts for

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math.DS2020

Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane

Joan Gimeno, Jiaqi Yang, Rafael de la Llave

We present algorithms and their implementation to compute limit cycles and their isochrons for state-dependent delay equations (SDDE's) which are perturbed from a planar differenti…

math.DS2020★ 1 cited

Parameterization method for state-dependent delay perturbation of an ordinary differential equation

Jiaqi Yang, Joan Gimeno, Rafael de la Llave

We consider state-dependent delay equations (SDDE) obtained by adding delays to a planar ordinary differential equation with a limit cycle. These situations appear in models of sev…