Results 11 to 20 of about 306,199 (304)

The parameterization method for center manifolds [PDF]

open access: green, 2019
In this paper, we present a generalization of the parameterization method, introduced by Cabr\'{e}, Fontich and De la Llave, to center manifolds associated to non-hyperbolic fixed points of discrete dynamical systems.
Jan Bouwe van den Berg   +2 more
openalex   +6 more sources

Regularity of area minimizing currents II: center manifold [PDF]

open access: green, 2016
This is the second paper of a series of three on the regularity of higher codimension area minimizing integral currents. Here we perform the second main step in the analysis of the singularities, namely the construction of a center manifold, i.e.
Camillo De Lellis, Emanuele Spadaro
openalex   +3 more sources

Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
doaj   +1 more source

Complex dynamics and Bogdanov-Takens bifurcations in a retarded van der Pol-Duffing oscillator with positional delayed feedback

open access: yesMathematical Biosciences and Engineering, 2023
In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system.
Mohammad Sajid   +3 more
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

Global Hopf bifurcation of a delayed phytoplankton-zooplankton system considering toxin producing effect and delay dependent coefficient

open access: yesMathematical Biosciences and Engineering, 2019
In this paper, a delayed phytoplankton-zooplankton system with the coefficient depending on delay is investigated. Firstly, it gives the nonnegative and boundedness of solutions of the delay differential equations.
Zhichao Jiang   +3 more
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

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

Inverse Jacobian multipliers and Hopf bifurcation on center manifolds [PDF]

open access: yes, 2014
In this paper we consider a class of higher dimensional differential systems in $\mathbb R^n$ which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or $
Zhang, Xiang
core   +1 more source

Local and Global Stability of Certain Mixed Monotone Fractional Second Order Difference Equation with Quadratic Terms

open access: yesAxioms, 2021
This paper investigates the local and global character of the unique positive equilibrium of a mixed monotone fractional second-order difference equation with quadratic terms.
Mirela Garić-Demirović   +2 more
doaj   +1 more source

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