Results 221 to 230 of about 205,806 (279)

Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method

Mathematical methods in the applied sciences, 2022
A newly disclosed nonstandard finite difference method has been used to discretize a Lotka–Volterra model to investigate the critical normal form coefficients of bifurcations for both one‐parameter and two‐parameter bifurcations.
Z. Eskandari, Z. Avazzadeh, R. Khoshsiar Ghaziani, Bo Li   +3 more
semanticscholar   +1 more source

Bifurcations in a fractional-order neural network with multiple leakage delays

Neural Networks, 2020
This paper expatiates the stability and bifurcation for a fractional-order neural network (FONN) with double leakage delays. Firstly, the characteristic equation of the developed FONN is circumspectly researched by employing inequable delays as ...
Chengdai Huang, Heng Liu, Xiangyun Shi, Xiaoping Chen, Min Xiao, Zhengxin Wang, Jinde Cao   +6 more
semanticscholar   +1 more source

SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

International Journal of Bifurcation and Chaos, 2008
A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction.
Clerc Gavilán, Marcel, Encina, Pablo C., Tirapegui Zurbano, Enrique   +2 more
openaire   +2 more sources

Periodically Perturbed Bifurcation. II. Hopf Bifurcation

Studies in Applied Mathematics, 1981
We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that periodic solutions are, in general, modified into quasiperiodic solutions. Different phenomena are encountered in resonance and near‐resonance conditions, leading in some cases to separation of solution branches and in ...
Rosenblat, S., Cohen, Donald S.
openaire   +3 more sources

Bifurcations

Nonlinear dynamics, 2019
I n t r o d u c t i o n Let F(x) be an analytic function in C a with an isolated singularity of multiplicity ~ at the origin, * F(0)-0. The modality of the singularity of F(X) (compare [2]) is the m a x i m u m dimension of the set of orbits of the group
H. G. Solari, M. A. Natiello, G. B. Mindlin   +2 more
openaire   +2 more sources

OBSERVABILITY BIFURCATION VERSUS OBSERVING BIFURCATIONS

IFAC Proceedings Volumes, 2002
Abstract In this paper we highlight the difference between observability bifurcation and observing bifurcation. From this, we deduce that one way to improve transmission by synchronization of chaotic systems may be chaotic transmitter with also observability bifurcation.
L. Boutat-Baddas, J.P. Barbot, D. Boutat, R. Tauleigne   +3 more
openaire   +1 more source

Coronary bifurcation stenting using dedicated bifurcation stents

Catheterization and Cardiovascular Interventions, 2000
We report three cases of successful implantation of three different stents specially designed for bifurcation lesions, guided by intracoronary ultrasound. The BARD and AVE are true bifurcated stents for side-branch access and the NIR-Side Royal is a single modified NIR stent with an aperture to allow provisional bifurcation stenting.
Cervinka, P, Foley, DP, Sabaté Tenas, M, Costa, M (Marco), Serrano, P, Ligthart, JMR, Serruys, PWJC (Patrick)   +6 more
openaire   +3 more sources

Bifurcated Anastomosis

The Annals of Thoracic Surgery, 1997
Bifurcated anastomosis is a technique wherein geometrically tailored flaps of a vein graft are anastomosed to an arteriotomy in a vessel and its two branches. Although this technique may be useful for the surgical management of any diseased arterial bifurcation, it is particularly valuable in coronary endarterectomy or when complete revascularization ...
openaire   +2 more sources

Infinite Period Bifurcation and Global Bifurcation Branches

SIAM Journal on Applied Mathematics, 1981
Branches of periodic solutions which exhibit the alternatives of the global Hopf bifurcation theorem are calculated for two general systems of differential equations.
openaire   +1 more source

Bifurcations in a fractional-order BAM neural network with four different delays

Neural Networks, 2021
Chengdai Huang, Juan Wang, Xiaoping Chen, Jinde Cao   +3 more
semanticscholar   +1 more source