[PDF] Top 20 Bifurcation and Chaos in Delayed Cellular Neural Network Model

... a delayed Cellular Neural Network (DCNN) model which is a one-dimensional regular array of four cells with continuous activation ...and chaos for different range of weight ... See full document

... possible chaos qualitatively. Based on the center manifold theorem and bifurcation theory (see [12] [13]), we can obtain the detailed existence conditions of these ...including bifurcation diagrams, ... See full document

... of delayed feedback control in ...the bifurcation parameter, then passing through a certain critical value, the stability of the equilibrium will be changed from unstable to stable, chaos will ... See full document

... switch model and presented the stability of the fixed points and bifurcations behaviours, applying the forward Euler scheme to discrete the model by bifurcation theory of continuous and discrete ... See full document

... the model exhibits the variety of dynamical behaviors, which include the discrete epidemic model undergoes transcritical bifur- cation, flip bifurcation, Hopf bifurcation and ...Furthermore, ... See full document

... DOI: 10.4236/jamp.2017.59160 1900 Journal of Applied Mathematics and Physics [3]. In this paper using numerical simulations [4], we obtained the distribution of dynamics in the parameter plane, the maximum Lyapunov ... See full document

... of bifurcation and chaos control of CTCP under RED congestion model, first we have briefly introduce the dynamic one-order discrete equation to describe the CTCP under ...doubling bifurcation ... See full document

... A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the ... See full document

... With the increasing application of ecological models in the real world, more and more attention has been paid to the host-parasitoid models, and they have played an important and fundamental role in the relationship ... See full document

... rich dynamic behaviors of the particle motion system, including the degenerate Hopf bifurcations at multiple.. equilibrium points, the chaotic behaviors of the particle motion1[r] ... See full document

... artificial neural networks since Hopfield constructed a simplified neural network (NN) model ...NN model with delay ...nomenon, bifurcation and chaos have been discussed ... See full document

... for new economy scale. Under appropriate feedback strength, the economic scale chaotic system is controlled to a steady state. The local stability of the system and the existence of Hopf bifurcation are studied by ... See full document

... and chaos phenomena. The reason for introducing a delay into model () is that the predator species may need time τ to possess the ability of predation after it was ... See full document

... In this paper, we consider a three-dimensional discrete neural network model with delay. The characteristic equation of the linearized system at the zero solution is a polynomial equation involving ... See full document

... This paper is organized as follows. In Section , the stability of the positive equilibrium and the existence of a Neimark-Sacker bifurcation are discussed. In Section , the direction and the stability of ... See full document

... Hence it is clear that for the given parameter values and the fixed r, the system (1) will converge to fixed point for α < α ^ then the system undergoes Hopf bifurcation for α = α ^ . Then the system shows ... See full document

... as neural network models, in modeling and forecasting the market indexes can yield impressive results (Aladag et ...as neural network models, is a response to the lack of consensus on ... See full document

... this model and in the effect of the non-local interaction on the periodic travelling wave and spatio-temporal chaotic ...(R-M) model incorporating a prey refuge is constructed and analyzed in ... See full document

... This model is utilized to extract parameters from the available measured ...artificial neural network is trained using three layer architecture as described ...(using neural fitting and ... See full document

... sense of Marotto. Later on, Marotto [16] gave some com- ments about changes, corrections and updates from many researchers. As an extension of the Li and York theorem on the one-dimensional maps, Marotto [15] established ... See full document