scholarly journals A remark on attractor bifurcation

2021 ◽  
Vol 18 (2) ◽  
pp. 157-172
Author(s):  
Chunqiu Li ◽  
Desheng Li ◽  
Jintao Wang
Keyword(s):  
Attractor Bifurcation

scholarly journals Bifurcation Analysis of Gene Propagation Model Governed by Reaction-Diffusion Equations

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Guichen Lu
Keyword(s):  
Reaction Diffusion ◽  
Complete Characterization ◽  
Propagation Model ◽  
Transition Theory ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Biological Parameters ◽  
Dynamical Transition ◽  
Attractor Bifurcation

We present a theoretical analysis of the attractor bifurcation for gene propagation model governed by reaction-diffusion equations. We investigate the dynamical transition problems of the model under the homogeneous boundary conditions. By using the dynamical transition theory, we give a complete characterization of the bifurcated objects in terms of the biological parameters of the problem.

scholarly journals Complex Dynamics in Nonlinear Triopoly Market with Different Expectations

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Junhai Ma ◽  
Xiaosong Pu
Keyword(s):  
Local Stability ◽  
Demand Function ◽  
Complex Dynamics ◽  
Three Dimensional ◽  
Game Model ◽  
Bifurcation Diagrams ◽  
Nonlinear Difference Equations ◽  
Total Cost ◽  
Attractor Bifurcation ◽  
Total Cost Function

A dynamic triopoly game characterized by firms with different expectations is modeled by three-dimensional nonlinear difference equations, where the market has quadratic inverse demand function and the firm possesses cubic total cost function. The local stability of Nash equilibrium is studied. Numerical simulations are presented to show that the triopoly game model behaves chaotically with the variation of the parameters. We obtain the fractal dimension of the strange attractor, bifurcation diagrams, and Lyapunov exponents of the system.

scholarly journals Attractor Bifurcation for Extended Fisher-Kolmogorov Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Honglian You ◽  
Rong Yuan ◽  
Ziheng Zhang
Keyword(s):  
Kolmogorov Equation ◽  
Attractor Bifurcation

Stochastic attractor bifurcation for the two‐dimensional Swift‐Hohenberg equation

2018 ◽  
Vol 41 (5) ◽  
pp. 2105-2118 ◽  
Author(s):  
Limei Li ◽  
Marco Hernandez ◽  
Kiah Wah Ong
Keyword(s):  
Two Dimensional ◽  
Attractor Bifurcation

scholarly journals AEON: Attractor Bifurcation Analysis of Parametrised Boolean Networks

2020 ◽  
pp. 569-581
Author(s):  
Nikola Beneš ◽  
Luboš Brim ◽  
Jakub Kadlecaj ◽  
Samuel Pastva ◽  
David Šafránek
Keyword(s):  
Bifurcation Analysis ◽  
Boolean Networks ◽  
Attractor Bifurcation
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