Filippov Systems With Nondifferentiable and Unbounded Delays: Periodicity, Stabilization, and Energy Consumption Estimation

F Kong, Q Zhu, Z Cai, WX Zheng - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article, a general Filippov system with nondifferentiable and unbounded delays is
studied, which is different from the previous delayed Filippov systems. First, based on the …

On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities

DD Novaes, G Rondón - Physica D: Nonlinear Phenomena, 2022 - Elsevier
In this paper, we are concerned about smoothing of Filippov systems around homoclinic-like
connections to regular-tangential singularities. We provide conditions to guarantee the …

A Melnikov analysis on a family of second order discontinuous differential equations

DD Novaes, LVMF Silva - São Paulo Journal of Mathematical Sciences, 2024 - Springer
This paper aims to provide a Melnikov-like function that governs the existence of periodic
solutions bifurcating from period annuli in certain families of second-order discontinuous …

[PDF][PDF] A Melnikov analysis on a class of second order discontinuous differential equations

DD Novaes, LVMF Silva - arxiv preprint arxiv:2312.02738, 2023 - researchgate.net
This paper focuses in providing a Melnikov-like function that controls the existence of
periodic solutions bifurcating from period annuli present in some families of the second …

Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations

F Wu, L Huang, J Wang - Qualitative Theory of Dynamical Systems, 2022 - Springer
This work deals with the periodic orbit bifurcations of a T-periodic perturbed piecewise
smooth system whose unperturbed part has a generalized heteroclinic loop connecting a …

[PDF][PDF] Smoothing of homoclinic-like connections to regular tangential singularities in Filippov systems

DD Novaes, G Rondón - arxiv preprint arxiv:2005.12986, 2020 - researchgate.net
In this paper, we are concerned about smoothing of a class of rpolycycles of Filippov
systems, namely homoclinic-like connections to regulartangential singularities. Conditions …

Regularization of Filippov systems near regular-tangencial singularities and polycycle= Regularização de sistemas de Filippov próximos de singularidades …

GAR Vielma - 2020 - repositorio.unicamp.br
Compreender como as singularidades tangenciais evoluem em processos de regularização
foi um dos primeiros problemas relacionados à regularização dos sistemas de Filippov …