Results 1 to 10 of about 794 (149)

Equilibria and Bogdanov-Takens Bifurcation Analysis in the Bazykin’s Predator-Prey System

Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022
In the paper, we proposed a Bazykin’s predator-prey system to explore the equilibrium point and Bogdanov-Takens bifurcation problems. Firstly, we derived some key parameter threshold conditions to ensure that the Bazykin’s predator-prey system had a ...
Shuangte Wang, Hengguo Yu
core   +4 more sources

M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. [PDF]

J Math Neurosci, 2021
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consisting of the applied current Iapp, the maximal conductance of the M-current ...
Al-Darabsah I, Campbell SA.
europepmc   +8 more sources

Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations [PDF]

SIAM Journal on Applied Dynamical Systems
In this paper, we will perform the parameter-dependent center manifold reduction near the generic and transcritical codimension two Bogdanov-Takens bifurcation in classical delay differential equations.
Maikel M Bosschaert, Yuri A Kuznetsov
exaly   +8 more sources

Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction

Computers and Mathematics With Applications, 2004
Consider a polynomial differential system of degree p + q, which was given from a general multimolecular reaction in biochemistry as a theoretical problem of concentration kinetics.
Yilei Tang, Weinian Zhang
exaly   +3 more sources

Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model

Axioms, 2023
In this paper, as a complement to the works by Monterio and Notargiacomo, we analyze the dynamical behavior of a learning-process model in a case where the system admits a unique interior degenerate equilibrium.
Zhenliang Zhu, Zhu Zhenliang
exaly   +4 more sources

Chaos in the Takens–Bogdanov bifurcation withO(2) symmetry [PDF]

Dynamical Systems, 2017
The Takens–Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation invariant in one spatial dimension with no left-right preference
A M Rucklidge
exaly   +2 more sources

Oscillations in three-reaction quadratic mass-action systems. [PDF]

Stud Appl Math
Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Banaji M, Boros B, Hofbauer J.
europepmc   +2 more sources

Diversity of cells and signals in the cardiovascular system

The Journal of Physiology, Volume 601, Issue 13, Page 2547-2592, 1 July 2023., 2023
Abstract figure legend This white paper discusses the cell diversity, co‐ordination and interaction patterns that are critical for robust cardiovascular function. We identify the major cell types and signals involved in cardiovascular function and emphasize the complexity at the subcellular, cellular and system levels that motivate both challenges and ...
Eleonora Grandi, Manuel F. Navedo, Jeffrey J. Saucerman, Donald M. Bers, Nipavan Chiamvimonvat, Rose E. Dixon, Dobromir Dobrev, Ana M. Gomez, Osama F. Harraz, Bence Hegyi, David K. Jones, Trine Krogh‐Madsen, Walter Lee Murfee, Matthew A. Nystoriak, Nikki G. Posnack, Crystal M. Ripplinger, Rengasayee Veeraraghavan, Seth Weinberg   +17 more
wiley   +1 more source

Spatiotemporal Tipping Induced by Turing Instability and Hopf Bifurcation in a Population Ecosystem Model with the Fear Factor

Complexity, Volume 2023, Issue 1, 2023., 2023
Population ecosystems can display the tipping points at which extinctions of species happens. To predict the appearance of tipping points and to understand their evolution mechanism are of uttermost importance for ecological balance. Using techniques from bifurcation theory, we can predict the emergence of tipping points based on a spatiotemporal ...
Min Xiao, Gong Chen, Feilong Wang, Zunshui Cheng, Yi Yao, M. De Aguiar   +5 more
wiley   +1 more source

Setting Safe Operation Conditions for Acetyl Chloride Hydrolysis through Dynamic Modelling and Bifurcation Analysis

Modelling and Simulation in Engineering, Volume 2023, Issue 1, 2023., 2023
Acetyl chloride hydrolysis is a highly sensitive exothermic reaction that has presented several industrial safety issues. In the present study, a multiparameter mathematical model, previously developed and applied to simulate the oscillatory thermal behavior of an experimental continuous stirred tank reactor, was used to determine the static/dynamic ...
Juan Carlos Ojeda Toro, Izabela Dobrosz-Gómez, Miguel Ángel Gómez García, Fahad Al Basir   +3 more
wiley   +1 more source