Results 11 to 20 of about 37,078 (268)

Computational Analysis of Ca²⁺ Oscillatory Bio-Signals: Two-Parameter Bifurcation Diagrams [PDF]

Entropy, 2021
Two types of bifurcation diagrams of cytosolic calcium nonlinear oscillatory systems are presented in rectangular areas determined by two slowly varying parameters.
Wieslaw Marszalek, Jan Sadecki, Maciej Walczak   +2 more
doaj   +2 more sources

Bifurcation diagrams for singularly perturbed system

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point.
Matteo Franca
doaj   +2 more sources

Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2020
This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
doaj   +1 more source

Two-Parameter 0-1 Test for Chaos and Sample Entropy Bifurcation Diagrams for Nonlinear Oscillating Systems

IEEE Access, 2021
This paper presents and compares two-parameter bifurcation diagrams obtained from the 0-1 test for chaos and sample entropy methods for nonlinear oscillating systems.
Wieslaw Marszalek, Maciej Walczak, Jan Sadecki   +2 more
doaj   +1 more source

Hopf Bifurcation, Periodic Solutions, and Control of a New 4D Hyperchaotic System

Mathematics, 2023
In this paper, a new four-dimensional (4D) hyperchaotic biplane system is designed and presented. The dynamical properties of this new system are studied by means of tools such as bifurcation diagrams, Lyapunov exponents and phase diagrams.
Yu Liu, Yan Zhou, Biyao Guo
doaj   +1 more source

Hopf Bifurcation Analysis of the Combustion Instability in a Liquid Rocket Engine

Aerospace, 2022
The bifurcation process of self-sustained combustion instability pressure perturbations in a liquid rocket combustor is investigated based on the Helmholtz equations and a pressure dependent flame describing function. The modal frequency and growth rates
Xuanye Liang, Lijun Yang, Gaofeng Wang, Jingxuan Li   +3 more
doaj   +1 more source

Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints

Shock and Vibration, 2021
The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods.
Songtao Li, Qunhong Li, Zhongchuan Meng
doaj   +1 more source

Bifurcation diagram for compartmentalized granular gases [PDF]

Physical Review E, 2001
The bifurcation diagram for a vibro-fluidized granular gas in N connected compartments is constructed and discussed. At vigorous driving, the uniform distribution (in which the gas is equi-partitioned over the compartments) is stable. But when the driving intensity is decreased this uniform distribution becomes unstable and gives way to a clustered ...
van der Meer, Devaraj, van der Weele, Ko, Lohse, Detlef   +2 more
openaire   +3 more sources

Bifurcation diagrams of one-dimensional Kirchhoff-type equations

Advances in Nonlinear Analysis, 2022
We study the one-dimensional Kirchhoff-type equation −(b+a‖u′‖2)u″(x)=λu(x)p,x∈I≔(−1,1),u(x)>0,x∈I,u(±1)=0,-\left(b+a\Vert u^{\prime} {\Vert }^{2}){u}^{^{\prime\prime} }\left(x)=\lambda u{\left(x)}^{p},\hspace{1em}x\in I:= \left(-1,1),\hspace{1em}u\left ...
Shibata Tetsutaro
doaj   +1 more source

Codimension-Two Bifurcations of a Simplified Discrete-Time SIR Model with Nonlinear Incidence and Recovery Rates

Mathematics, 2023
In this paper, a simplified discrete-time SIR model with nonlinear incidence and recovery rates is discussed. Here, using the integral step size and the intervention level as control parameters, we mainly discuss three types of codimension-two ...
Dongpo Hu, Xuexue Liu, Kun Li, Ming Liu, Xiao Yu   +4 more
doaj   +1 more source