Results 51 to 60 of about 73,929 (126)

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³

, 2018
We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pieces separated by a plane Ʃ. In one family the differential systems are only continuous on the plane Ʃ, and in the other family they are only discontinuous on the plane Ʃ.
De Freitas, Bruno R., Llibre, Jaume, Medrado, Joao Carlos   +2 more
openaire   +4 more sources

Andronov-Hopf Bifurcations in Planar, Piecewise-Smooth, Continuous Flows

, 2007
An equilibrium of a planar, piecewise-$C^1$, continuous system of differential equations that crosses a curve of discontinuity of the Jacobian of its vector field can undergo a number of discontinuous or border-crossing bifurcations.
Banerjee, Brogliato, Carmona, D.J.W. Simpson, Di Bernardo, Di Bernardo, Freire, Hartman, Hassouneh, J.D. Meiss, Keener, Kuznetsov, Leine, Leine, Marsden, Nusse, Wiercigroch, Wiggins, Zhusubaliyev, Zou, Zou   +20 more
core   +1 more source

On Switching Stabilizability for Continuous-Time Switched Linear Systems

, 2016
This paper studies switching stabilization problems for continuous-time switched linear systems. We consider four types of switching stabilizability defined under different assumptions on the switching control input.
Lu, Yueyun, Zhang, Wei
core   +1 more source

Defect correction from a galerkin viewpoint [PDF]

, 1985
We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher—order piecewise ...
Moore, G
core   +1 more source

Two-parameter nonsmooth grazing bifurcations of limit cycles: classification and open problems [PDF]

, 2005
This paper proposes a strategy for the classification of codimension-two grazing bifurcations of limit cycles in piecewise smooth systems of ordinary differential equations.
Champneys, AR, di Bernardo, M, Hogan, SJ, Homer, ME, Kowalczyk, PS, Kuznetsov, YA, Nordmark, A, Piiroinen, PT   +7 more
core   +1 more source

Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line

, 2021
This paper is a survey on the study of the maximum number of limit cycles of planar continuous and discontinuous piecewise linear differential systems defined in two half-planes separated by a straight line L. We restrict our attention to the crossing limit cycles, i.e. to the limit cycles having exactly two points on the straight line L.
openaire   +6 more sources

Discontinuous Almost Automorphic Functions and Almost Automorphic Solutions of Differential Equations with Piecewise Constant Argument

, 2013
In this article we introduce a class of discontinuous almost automorphic functions which appears naturally in the study of almost automorphic solutions of differential equations with piecewise constant argument.
Castillo, S., Chavez, A., Pinto, M.
core   +1 more source

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3 [PDF]

Journal of Computational and Applied Mathematics, 2018
Bruno R. de Freitas, Jaume Llibre, Joao C. Medrado   +2 more
openaire   +1 more source

Exact Response Theory for Delay Equations. [PDF]

Entropy (Basel)
Gollinucci F, Ortu E, Rondoni L.
europepmc   +1 more source

A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source