Results 41 to 50 of about 30,655 (149)

Zero-Hopf Bifurcation in the Generalized Stretch-Twist-Fold Flow

, 2019
A zero-Hopf equilibrium in a three-dimensional system is an isolated equilibrium point which has a zero eigenvalue and a simple pair of purely imaginary eigenvalues.
N. H. Hussein, A. Amen
semanticscholar   +1 more source

Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons

, 2018
We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain.
Aminzare, Zahra, Davison, Elizabeth N., Dey, Biswadip, Leonard, Naomi Ehrich   +3 more
core   +1 more source

Birth of Catastrophe and Strange Attractors through Generalized Hopf Bifurcations in Covid-19 Transmission Mathematical Model

Chaos Theory and Applications
Coronavirus can be transmitted through the things that people carry or the things where it sticks to after being spread by the sufferer. Instead, various preventive measures have been carried out.
Yuvita Andriani Kusumadewi, Azimatus Nur Safitri, Aulia Nurmalitasari, Triyanto Triyanto, Laila Fitriana, Yudi Ari Adi, Ario Wiraya   +6 more
doaj   +1 more source

Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes

, 2016
Bursting is a phenomenon found in a variety of physical and biological systems. For example, in neuroscience, bursting is believed to play a key role in the way information is transferred in the nervous system.
Bernard, Christophe, Jirsa, Viktor K., Saggio, Maria Luisa, Spiegler, Andreas   +3 more
core   +3 more sources

Turbulence near cyclic fold bifurcations in birhythmic media

, 2004
We show that at the onset of a cyclic fold bifurcation, a birhythmic medium composed of glycolytic oscillators displays turbulent dynamics. By computing the largest Lyapunov exponent, the spatial correlation function, and the average transient lifetime ...
A. Goldbeter, Dorjsuren Battogtokh, G. Zubay, H. Mori, J. Mohberg, John J. Tyson, K. Chen, K. Nozaki, M. I. Rabinovich, M. T. Borisuk, Y. Kuramoto   +10 more
core   +1 more source

Bifurcation structure of cavity soliton dynamics in a VCSEL with saturable absorber and time-delayed feedback

, 2017
We consider a wide-aperture surface-emitting laser with a saturable absorber section subjected to time-delayed feedback. We adopt the mean-field approach assuming a single longitudinal mode operation of the solitary VCSEL.
Gurevich, Svetlana V., Panajotov, Krassimir, Schelte, Christian, Tlidi, Mustapha   +3 more
core   +1 more source

Analysis of a quadratic system obtained from a scalar third order differential equation

Electronic Journal of Differential Equations, 2010
In this article, we study the nonlinear dynamics of a quadratic system in the three dimensional space which can be obtained from a scalar third order differential equation.
Fabio Scalco Dias, Luis Fernando Mello
doaj  

Chaotic and Hopf Bifurcation Analysis of the Stretch-Twist-Fold Flow System in a Fractional Order

Zanco Journal of Pure and Applied Sciences
This study investigates a modified fractional Stretch-Twist-Fold (STF) model with a Caputo fractional-order derivative. The local stability and Hopf bifurcation of equilibrium points are analyzed by using an Adams-type predictor-corrector method ...
Sardar Rashid Fattah, Niazy Hady Hussein, Sheelan Abdulkader Osman   +2 more
doaj   +1 more source

Complex oscillations in the delayed Fitzhugh-Nagumo equation

, 2015
Motivated by the dynamics of neuronal responses, we analyze the dynamics of the Fitzhugh-Nagumo slow-fast system with delayed self-coupling. This system provides a canonical example of a canard explosion for sufficiently small delays. Beyond this regime,
Krupa, Maciej, Touboul, Jonathan
core   +3 more sources

Hopf bifurcation and transition of three-dimensional wind-driven ocean circulation problem

Journal of Differential Equations, 2019
The purpose of this article is three-fold. The first is to investigate the linear stability of the basic flow governed by the three-dimensional (3D) quasi-geostrophic (QG) equation with a steady wind force.
ChunHsien Lu, Yiqiu Mao, Quan Wang, D. Yan   +3 more
semanticscholar   +1 more source