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

Author:

Novaes Douglas D.,Silva Luan V. M. F.ORCID

Funder

Fundação de Amparo á Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Reference16 articles.

1. Andrade, K.S., Cespedes, O.A., Cruz, D.R., Novaes, D.D.: Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve. J. Differ. Equ. 287, 1–36 (2021)

2. Andronov, A.A., Vitt, A.A., Khaĭkin, S.E.: Theory of oscillators. Dover Publications Inc., New York (1987). Translated from the Russian by F. Immirzi, Reprint of the 1966 translation

3. Bastos, J.L., Buzzi, C.A., Llibre, J., Novaes, D.D.: Melnikov analysis in non-smooth differential systems with nonlinear switching manifold. J. Differ. Equ. 267(6), 3748–3767 (2019)

4. da Silva, C.E.L., Jacquemard, A., Teixeira, M.A.: Periodic solutions of a class of non-autonomous discontinuous second-order differential equations. J. Dyn. Control Syst. 26(1), 17–44 (2020)

5. Filippov, A.F.: Differential Equations with Discontinuous Righthand Sides, vol. 18 of Mathematics and its Applications (Soviet Series). Kluwer Academic Publishers Group, Dordrecht (1988) Translated from the Russian

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