Geodesic
Bifurcations and chaos in a periodically forced prototype adaptive control system
Kybernetika, Tome 30 (1994) no. 2, pp. 121-128 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 34C23, 34H05, 93C10, 93C40 
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Kuznetsov, Yuri A.; Piccardi, Carlo. Bifurcations and chaos in a periodically forced prototype adaptive control system. Kybernetika, Tome 30 (1994) no. 2, pp. 121-128. http://geodesic.mathdoc.fr/item/KYB_1994_30_2_a1/

[1] B. Cyr B. Riedle, P. Kokotovic: Hopf bifurcation in an adaptive system with unmodeled dynamics. In: Proc. IFAC Workshop on Adaptive Systems in Control and Signal Processing, San Francisco, CA 1983.

[2] F. R. Rubio J. Aracil, E. F. Camacho: Chaotic motion in an adaptive control system. Internat. J. Control 42 (1985), 353-360. | MR

[3] F. M. A. Salam, S. Bai: Disturbance-generated bifurcations in a simple adaptive system: simulation evidence. Systems Control Lett. 7 (1986), 269-280. | MR | Zbl

[4] F. M. A. Salam, S. Bai: Complicated dynamics of a prototype continuous-time adaptive control system. IEEE Trans. Circuits and Systems CAS-35 (1988), 842-849. | MR | Zbl

[5] S. Bai, F. M. A. Salam: Disturbance generated bifurcation in a prototype adaptive system with $e_1$-modification law. IEEE Trans. Automat. Control AC-33 (1988), 979-984. | MR

[6] I. M. Y. Mareels, R. R. Bitmead: Bifurcation effects in robust adaptive control. IEEE Trans. Circuits and Systems CAS-35 (1988), 835-841. | MR | Zbl

[7] P. A. Ioannou, P. V. Kokotovic: Instability analysis and improvement of robustness of adaptive control. Automatica 20 (1984), 583-594. | MR | Zbl

[8] B. Riedle B. Cyr, P. V. Kokotovic: Disturbance instabilities in an adaptive system. IEEE Trans. Automat. Control AC-29 (1984), 822-824.

[9] V. I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations. Springer-Verlag, New York 1983. | MR | Zbl

[10] J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York 1983. | MR | Zbl

[11] R. Seydel: Tutorial on continuation. Internat. J. Bifurcation and Chaos 1 (1991), 3-11. | MR | Zbl

[12] A. I. Khibnik, Yu. A. Kuznetsov V. V. Levitin, E. V. Nikolaev: Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Phys. D 62 (1993), 360-370. | MR