Results 21 to 30 of about 4,623,308 (321)

On oscillation of solutions of scalar delay differential equation in critical case

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper we study the oscillation problem for the known scalar delay differential equation. We assume that the coefficients of this equation have an oscillatory behaviour with an amplitude of oscillation tending to zero at infinity.
Pavel Nesterov
doaj   +1 more source

Dynamical system analysis of a Dirac-Born-Infeld model: a center manifold perspective [PDF]

open access: yesGeneral Relativity and Gravitation, 2019
In this paper we present the cosmological dynamics of a perfect fluid and the Dark Energy component of the Universe, where our model of the dark energy is the string-theoritic Dirac-Born-Infeld (DBI) model.
S. Pal, S. Chakraborty
semanticscholar   +1 more source

Computational Analysis and Bifurcation of Regular and Chaotic Ca2+ Oscillations

open access: yesMathematics, 2021
This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
doaj   +1 more source

Density Peaks Clustering Algorithm Based on Weighted k-Nearest Neighbors and Geodesic Distance

open access: yesIEEE Access, 2020
Density peaks clustering (DPC) is a density-based clustering algorithm with excellent clustering performance including accuracy, automatically detecting the number of clusters, and identifying center points.
Lina Liu, Donghua Yu
doaj   +1 more source

Time dependent center manifold in PDEs

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2020
We consider externally forced equations in an evolution form. Mathematically, these are skew systems driven by a finite dimensional dynamical system. Two very common cases included in our treatment are quasi-periodic forcing and forcing by a stochastic ...
Hon-Wing Cheng, Rafael de la Llave
semanticscholar   +1 more source

Greedy Kernel Methods for Center Manifold Approximation [PDF]

open access: yes, 2018
For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated asymptotic behavior of the system close to a non-hyperbolic equilibrium ...
B. Haasdonk   +3 more
semanticscholar   +1 more source

The Grassmann-like manifold of centered planes when a surface is described by the centre

open access: yesДифференциальная геометрия многообразий фигур, 2021
We continue to study of the Grassmann-like manifold of -centered planes. A special case is considered when the center de­scribes an -dimensional surface . We will denote this mani­fold by . An analogue of the strong Norden normalization of the manifold
O.O. Belova
doaj   +1 more source

Local stable manifold of Langevin differential equations with two fractional derivatives

open access: yesAdvances in Difference Equations, 2017
In this paper, we investigate the existence of local center stable manifolds of Langevin differential equations with two Caputo fractional derivatives in the two-dimensional case.
JinRong Wang, Shan Peng, D O’Regan
doaj   +1 more source

Stability Switches and Double Hopf Bifurcation Analysis on Two-Degree-of-Freedom Coupled Delay van der Pol Oscillator

open access: yesMathematics, 2021
In this paper, the normal form and central manifold theories are used to discuss the influence of two-degree-of-freedom coupled van der Pol oscillators with time delay feedback. Compared with the single-degree-of-freedom time delay van der Pol oscillator,
Yani Chen, Youhua Qian
doaj   +1 more source

On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case [PDF]

open access: yes, 2007
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues and that degeneracies are due to a symmetry of $H$ (theorem of Kramers).
Boussaid, Nabile
core   +3 more sources

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