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math.DS2022
On the stability of smooth branches of periodic solutions for higher order perturbed differential equations
Murilo R. Cândido, Douglas D. Novaes
The averaging method combined with the Lyapunov-Schmidt reduction provides sufficient conditions for the existence of periodic solutions of the following class of perturbative -…
math.DS2022★ 10 cited
A mechanism for detecting normally hyperbolic invariant tori in differential equations
Pedro C. C. R. Pereira, Douglas D. Novaes, Murilo R. Cândido
Determining the existence of compact invariant manifolds is a central quest in the qualitative theory of differential equations. Singularities, periodic solutions, and invariant to…