Eighth Int'l Conf. on Numerical Methods in Fluid Dynamics by E. Krause

Eighth Int'l Conf. on Numerical Methods in Fluid Dynamics by E. Krause

By E. Krause

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Proposed in paper [16] requirement of output estimation error asymptotic convergence was replaced to simple boundedness. References [1] IEEE Trans. on Circuits and Systems, 44, 10. Special issue "Chaos control and synchronization" / Eds. M. Kennedy, M. Ogorzalek, 1997. [2] International Journal of Circuit Theory and Applications, 27,6. Special issue "Communications, information processing and control using chaos / Eds. M. Hasler, J. Vandewalle, 1999. Adaptive partial observers with application to time-varying chaotic systems 35 [3] M.

On Circuit and Systems-I, 44, 10, pp. 905–912, 1997. [10] R. Marino, “Adaptive observers for single output nonlinear systems,’ IEEE Trans. Aut. , AC–35, pp. 1054 – 1058, 1990. [11] A. Yu. Markov and A. L. Fradkov, “Adaptive synchronisation of coupled chaotic systems,” Proc. Int. Conf. "Fractals and Chaos in Chemical Engineering", Rome, Sept. 2–5, pp. 153–154, 1996. [12] H. Nijmeijer and I. M. Y. Mareels, “An observer looks at synchronization,” IEEE Trans. on Circuit and Systems-I, 44, 10, pp. 882–890, 1997.

The initial conditions are chosen near the equilibrium points of the system. For the initial condition near the saddle-saddles, the stochastic motion occupies a larger region of the phase space as compared to the other two initial conditions near center-saddles. Figures 7(a) and 7(b) show P2 as a function of time τ when the initial conditions are chosen near the equilibrium point E4 (center-saddle) and E1 (saddle-saddle), respectively. 5 Q 3 1 Figure 5. ) and near a saddle (*). Solid curve shows the heteroclinic orbit.

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