Results 71 to 80 of about 5,207 (226)
Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays
Abstract and Applied Analysis, 2012 A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine ...
Qiming Liu, Wang Zheng
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Small Science, Volume 6, Issue 4, April 2026.Intracellular reaction‐diffusion (iRD) waves scale their wavelength to space size when they are confined within cell‐size spaces, despite having intrinsic wavelength in open systems. This wavelength selection ensures the scaling of the wave shape and the velocity, preserving these essential properties against physicochemical perturbations. This scaling
Sakura Takada +5 more
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Subcritical Hopf bifurcations in a car-following model with reaction-time delay
, 2005 A nonlinear car-following model of highway traffic is considered, which includes the reaction-time delay of drivers. Linear stability analysis shows that the uniform flow equilibrium of the system loses its stability via Hopf bifurcations and thus ...
Orosz, G, Stepan, G
core
Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay
Abstract and Applied Analysis, 2014 We consider a model for gene expression with one or two time delays and diffusion. The local stability and delay-induced Hopf bifurcation are investigated.
Yahong Peng, Tonghua Zhang
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Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
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Forced oscillators with Dynamic Hopf bifurcations and applications to paleoclimate [PDF]
, 2014 University of Minnesota Ph.D. dissertation. May 2014. Major: Mathematics. Advisor: Richard McGehee. 1 computer file (PDF); vi, 61 pages.Mathematical modeling is an important tool for understanding historic and future climate. The 100,000 year problem, or
Oestreicher, Samantha Megan
core
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System [PDF]
, 2017 We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation ...
J. Llibre +5 more
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Multiple bursting patterns in lateral habenula neurons: Experiments and computational model
The Journal of Physiology, Volume 604, Issue 8, Page 3396-3412, 15 April 2026.Abstract figure legend LHb neurons display a variety of bursting patterns, as well as being silent or displaying a tonic or irregular firing pattern. In a set of patch‐clamp experiments in ex vivo mouse lateral habenula (LHb), we were able to record from a number of cells showing characteristic bursts of a few distinguishable types.
Dmitry Fedorov +5 more
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.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
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