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The discrete dynamics of a blood cell population model are investigated in terms of bistability, instability and chaos. For the first time, the nonlinear model of blood cell production and destruction is investigated with a feedback mechanism incorporated. Numerical simulations demonstrate that the population of blood cells is dependent upon the history of the system, and upon whether parameters (destruction and production rates) are increasing or decreasing. The system also exhibits complex dynamics, such as period-bubbling, and period-doubling and undoubling routes to and from chaos. Some clinical examples are cited in the paper.
In this paper, we describe a novel architecture to enable a secure communication among mobile devices using different wirelesstechnologies like wireless LAN, Bluetooth, cellular systems or even infrared. Making use of the combination of these technologies for the data transmission and for the signaling of the communication, we analyze several scenarios with increasing complexity. The complete picture appears in the last scenario where all technologies are involved and the network is composed of heterogeneous mobile nodes. The paper also presents a solution for the setup of a secured communication channel (i.e. a Virtual Private Network connection) between several heterogeneous mobile nodes controlled by the cellular network operator. The mobile nodes can be either cellular aware or non-cellular aware in this framework. We propose to setup the heterogeneous network communications via the cellular network using the cellular aware nodes.