1. Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation.
- Author
-
Chen, Xianwei, Yuan, Shaoliang, Jing, Zhujun, and Fu, Xiangling
- Subjects
- *
BIFURCATION theory , *NUMERICAL solutions to differential equations , *NUMERICAL solutions to nonlinear differential equations , *TISSUES , *INFLAMMATION , *EULER equations - Abstract
In this paper, the discrete-time mathematical model for tissue inflammation obtained by Euler is investigated in detail. Conditions of the existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory, and chaos in the sense of Marotto is proved by analytical method. Numerical simulations, including bifurcation diagrams, Lyapunov exponents, fractal dimensions, and phase portraits are plotted to perfectly show the consistence with the theoretical analysis. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF