Results 21 to 30 of about 26,995 (188)
Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space
Journal of Inequalities and Applications, 2016 The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work.
Tofig Najafov +2 more
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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]
São Paulo Journal of Mathematical Sciences, 2017 Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881. 030454/2013-01 do Programa CSF-PVE.
Jaume Llibre, Marco Antonio Teixeira
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. The paper proposes a new method for studying differential operators with discontinuous coefficients. We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta function.
S.I. Mitrokhin
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Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers
São Paulo Journal of Mathematical Sciences, 2021 In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most one limit cycle, and that there are systems having ...
Jaume LLibre, Jaime R. de Moraes
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International Journal of Differential Equations, 2016 A reliable algorithm is presented to develop piecewise approximate analytical solutions of third- and fourth-order convection diffusion singular perturbation problems with a discontinuous source term.
Essam R. El-Zahar
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Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise [PDF]
, 2013 Switch-like behaviour in dynamical systems may be modelled by highly nonlinear functions, such as Hill functions or sigmoid functions, or alternatively by piecewise-smooth functions, such as step functions.
Jeffrey, Mike R., Simpson, David J. W.
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The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems
Nonlinear Dynamics, 2022 In order to understand the dynamics of the planar differential systems, the limit cycles play a main role, but in general their study is not easy. These last years, an increasing interest appeared for studying the limit cycles of some classes of piecewise differential systems, due to the rich applications of this kind of differential systems.
Meriem Barkat +2 more
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Regularization of Discontinuous Foliations: Blowing up and Sliding Conditions via Fenichel Theory [PDF]
, 2017 We study the regularization of an oriented 1-foliation $\mathcal{F}$ on $M \setminus \Sigma$ where $M$ is a smooth manifold and $\Sigma \subset M$ is a closed subset, which can be interpreted as the discontinuity locus of $\mathcal{F}$.
da Silva, Paulo Ricardo +1 more
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Discontinuous collocation methods and gravitational self-force applications
, 2021 Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor +3 more
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