Results 21 to 30 of about 10,201 (182)

Analysing panel flutter in supersonic flow by Hopf bifurcation [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2014
This paper is devoted to study of a partial differential equation governing panel motion in supersonic flow. This PDE can be transformed to an ODE by means of a Galerkin method.
zahra Monfared, Zohre Dadi
doaj   +1 more source

Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays

IEEE Access, 2019
Over the past several decades, numerous scholars have studied the stability and Hopf bifurcation problem of integer-order delayed neural networks. However, the fruits about the stability and Hopf bifurcation for fractional-order delayed neural networks ...
Changjin Xu, Maoxin Liao, Peiluan Li, Jinling Yan   +3 more
doaj   +1 more source

Hopf Bifurcation Analysis of the Halvorsen System

Zanco Journal of Pure and Applied Sciences
This paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
doaj   +1 more source

Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion

Advances in Difference Equations, 2019
In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
doaj   +1 more source

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, EarlyView.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source

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

Electronic 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

Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
wiley   +1 more source

Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay

Journal of Applied Mathematics, 2014
A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
doaj   +1 more source

Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model

AIMS Mathematics, 2021
The reaction-diffusion Gierer-Meinhardt system in one dimensional bounded domain is considered in the present paper. The Hopf bifurcation is investigated, which is found to be degenerate.
Anna Sun, Ranchao Wu, Mengxin Chen
doaj   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source