Bifurcation and chaos in discrete-time resistively coupled BVP oscillators

2012 ◽  
Author(s):  
Y.J. Liu ◽  
G.Q. Feng
Keyword(s):  
Discrete Time ◽  
Bifurcation And Chaos

scholarly journals Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Sajjad Shabbir ◽  
Qamar Din ◽  
Khalil Ahmad ◽  
Asifa Tassaddiq ◽  
Atif Hassan Soori ◽  
...  
Keyword(s):  
Discrete Time ◽  
Chaos Control ◽  
Allee Effect ◽  
Bifurcation And Chaos ◽  
Time Model ◽  
Discrete Time Model

scholarly journals Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Min Wan ◽  
Jianping Gou ◽  
Desong Wang ◽  
Xiaoming Wang
Keyword(s):  
Neural Networks ◽  
Fixed Point ◽  
Firing Rate ◽  
Lyapunov Exponents ◽  
Discrete Time ◽  
Invariant Set ◽  
Bifurcation And Chaos ◽  
Dynamical Properties ◽  
Background Input

The dynamics of a discrete-time background network with uniform firing rate and background input is investigated. The conditions for stability are firstly derived. An invariant set is then obtained so that the nondivergence of the network can be guaranteed. In the invariant set, it is proved that all trajectories of the network starting from any nonnegative value will converge to a fixed point under some conditions. In addition, bifurcation and chaos are discussed. It is shown that the network can engender bifurcation and chaos with the increase of background input. The computations of Lyapunov exponents confirm the chaotic behaviors.

scholarly journals Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Junhong Li ◽  
Ning Cui
Keyword(s):  
Hopf Bifurcation ◽  
Discrete Time ◽  
Chaotic Behavior ◽  
Euler Method ◽  
Flip Bifurcation ◽  
Bifurcation Diagrams ◽  
Bifurcation And Chaos ◽  
Sis Model ◽  
Dynamical Behaviors ◽  
The Rich

The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.

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