Results 11 to 20 of about 1,648,544 (312)

Bursting Oscillations in General Coupled Systems: A Review

open access: yesMathematics, 2023
In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
doaj   +1 more source

Bifurkasi Pada Model Penyebaran Penyakit MERS-CoV di Dua Wilayah dengan Populasi Konstan

open access: yesJambura Journal of Mathematics, 2022
Middle East Respiratory Syndrome Coronavirus (MERS-CoV) is caused by a novel coronavirus and it can be a human-to-human transmission disease. World Health Organization (WHO) reported the disease outbreak first happened in Saudi Arabia in 2012 and the ...
Livia Owen
doaj   +1 more source

Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species

open access: yesAxioms, 2023
We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of ...
Yanbo Chong   +3 more
doaj   +1 more source

Bursting Oscillation and Its Mechanism of a Generalized Duffing–Van der Pol System with Periodic Excitation

open access: yesComplexity, 2021
The complex bursting oscillation and bifurcation mechanisms in coupling systems of different scales have been a hot spot domestically and overseas.
Youhua Qian, Danjin Zhang, Bingwen Lin
doaj   +1 more source

Analysis of divergent bifurcations in the dynamics of wheeled vehicles [PDF]

open access: yesMechanical Sciences, 2022
This paper presents the bifurcation approach to analyze divergent loss of stability of the symmetric solution of a nonlinear dynamic model in Lyapunov's critical case of a single zero root. Under such a condition, material birth-annihilation bifurcations
V. Verbitskii   +3 more
doaj   +1 more source

Analysis of stability and bifurcation in logistics models with harvesting in the form of the holling type III functional response

open access: yesDesimal, 2022
The logistic model can be applied in the field of biological studies to investigate population growth problems and some important aspects of the ecological situation.
Yuni Yulida   +3 more
doaj   +1 more source

On occurrence of sudden increase of spiking amplitude via fold limit cycle bifurcation in a modified Van der Pol–Duffing system with slow-varying periodic excitation

open access: yesNonlinear dynamics, 2021
The main purpose of the paper is to reveal the mechanism of certain special phenomena in bursting oscillations such as the sudden increase of the spiking amplitude.
Xiaofang Zhang   +3 more
semanticscholar   +1 more source

Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting

open access: yesOpen Mathematics, 2022
In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin   +3 more
doaj   +1 more source

On the Double-Zero Bifurcation of Jerk Systems

open access: yesMathematics, 2023
In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation.
Cristian Lăzureanu
doaj   +1 more source

Fast-Slow Coupling Dynamics Behavior of the van der Pol-Rayleigh System

open access: yesMathematics, 2021
In this paper, the dynamic behavior of the van der Pol-Rayleigh system is studied by using the fast–slow analysis method and the transformation phase portrait method.
Danjin Zhang, Youhua Qian
doaj   +1 more source

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