Volume 1 (2012)

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1.  Dynamics in International Subsidy Games with Unit-elastic Demand Full text (PDF)

A. Matsumoto, F. Szidarovszky

Pages: 1-21

Abstract: In this paper, we construct a three-country model with two governments and two firms and consider dynamic behavior of the sequential subsidy game in which the governments determine their optimal trade policies and then the firms determine their optimal outputs. We first show the existence of an optimal trade policy under realistic conditions. In the case of symmetric firms, the governments adopt periodic mixed trade policy (i.e., one government gives subsidy and the other levies tax in one period and then the governments interchange their policies in the next period) if the adjustment is naive, and the governments adopt a stable mixed policy if adaptive. In the case of asymmetric firms, a firm receives subsidy if its cost is lower and pays tax if higher. If the Cournot output point under the optimal subsidy is locally stable, then its dynamics can be periodic which is synchronized with the periodic trade policy. If it is locally unstable, then complex dynamics involving chaos emerges regardless of the cost difference.

2. On Piecewise Monotone Interval Maps and Periodic Points Full text (PDF)

Jose S. Cánovas

Pages: 22-27

Abstract: In this short note, we find that a continuous piecewise monotone interval map f is chaotic in the sense of Li and Yorke if and only if f restricted to the set of its periodic points is Lyapunov stable.

3. Velocity/Pressure Response Curve Characterization of the Arterial Path of the P3 Iliac Reflection During Hemorrhage Simulation Full text (PDF)

M. C. Baruch, D. E. R Warburton, S. S. D Bredin, A. Cote, D. W. Gerdt and C. M. Adkins

Pages: 28-49

Abstract: A new approach to tracking blood pressure, and pulse pressure specifically is presented that is based on a new form of pulse pressure wave analysis called Pulse Decomposition Analysis (PDA). The premise of the PDA model is that the peripheral arterial pressure pulse is a superposition of five individual component pressure pulses, the first of which is due to the left ventricular ejection from the heart while the remaining component pressure pulses are reflections and re-reflections that originate from only two reflection sites within the central arteries. The hypothesis examined here is that the PDA parameter T13, the timing delay between the first and third component pulses, correlates with pulse pressure. Furthermore the comparison of experimental and model predictions provides insight into the pressure/velocity responses of the different arterial segments that the iliac reflection pulse (P3) traverses.

4. A Unified Piecewise Smooth Chaotic Mapping that Contains the Hénon and the Lozi Systems Full text (PDF)

E. Zeraoulia and J. C. Sprott

Pages: 50-60

Abstract: In this paper we introduce a new piecewise smooth mapping of the plane as a unified discrete-time chaotic system that contains the original Hénon and Lozi systems as two extremes and other systems as a transition in between and that has robust homoclinic chaos over a portion of its key system parameters. Dynamical behaviors of the unified system are investigated in some detail.