Results 31 to 40 of about 97,564 (280)

Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]

open access: yes, 2014
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon   +2 more
core   +1 more source

Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics

open access: yesMATEC Web of Conferences, 2017
This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
doaj   +1 more source

Characterisation of Singular Domains in Threshold-Dependent Biological Networks

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
Threshold-dependent networks behave like piecewise smooth system which belongs to a class of systems with discontinuous right hand side. It can be studied with piecewise linear differential equations.
Benitho Ngwu   +5 more
doaj   +1 more source

Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres

open access: yesDynamical Systems, 2022
We study the continuous and discontinuous planar piecewise differential systems formed by linear centres together with linear Hamiltonian saddles separated by one or two parallel straight lines. When these piecewise differential systems are either continuous or discontinuous separated by one straight line, they have no limit cycles.
Llibre, Jaume, Valls, Clàudia
openaire   +2 more sources

Mathematical Analisys of a Third-order Memristor-based Chua's Oscillator

open access: yesTrends in Computational and Applied Mathematics, 2011
. In this paper we present a detailed linear analysis of the equilibrium points stability of a memristor oscillator mathematical model, given by a threedimensional 5-parameter piecewise-linear system of ordinary differential equations.
Vanessa Avansini Botta Pirani   +2 more
doaj   +1 more source

Limit Cycles for Piecewise Linear Differential Systems via Poincaré–Miranda Theorem [PDF]

open access: yes, 2019
In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and locate periodic orbits of dynamical systems of both discrete and continuous nature.
Gasull Embid, Armengol   +1 more
openaire   +3 more sources

Generation of Multistability through Unstable Systems

open access: yesChaos Theory and Applications, 2022
In this work, we propose an approach to generate multistability based on a class of unstable systems that have all their roots in the right complex half-plane.
Baltazar Aguirre Hernandez   +3 more
doaj   +1 more source

Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2023
In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat   +2 more
doaj   +1 more source

On a differential inclusion related to the Born-Infeld equations [PDF]

open access: yes, 2013
We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integration in the setting of divergence free ...
Dacorogna B.   +6 more
core   +2 more sources

Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space

open access: yesJournal 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
doaj   +1 more source

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