Abstract
The chaotic anti-control of the Bonhoeffer-Van der Pol system (BVP system) is investigated using the method of Lyapunov function, and the chaotifying of the BVP system is successfully realized. Taking the BVP system and the forced Brusselator system for example, the design project of controller is given, and the structure of error system is constructed between the state of the BVP system and that of the forced Brusselator system, leading the BVP system to track strictly the dynamical behavior of the forced Brusselator system.The control method also can be used to some systems of arbitrary dimensions.
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Ott, E., Grebogi, C., Yorke, J.A.: Cotrolling chaos [J]. Phys. Rev. Lett. 64, 1196–1199 (1990)
Lü, L., Guo, Z.A., Luan, L., et al.: The design and artificial realization of a controller of pulse coupling feedback [J]. Chin. Phys. 15, 958–962 (2006)
Lü, L., Luan, L., Du, Z., et al.: A new method for control chaos based on combination coefficient feedback of system variable rate [J]. Int. J. Infor. & Sys. Sci. 1, 237–243 (2005)
Trimper, S., Zabrocki, K.: Delay-controlled reactions [J]. Phys. Lett (A) 321, 205–215 (2004)
Lü, L., Ou, Y.C.: Studies on Variable Rate Pulse Feedback of Chaos System [J]. Chin. J. Chem. Phys. 16, 459–462 (2003)
Alvarez-Ramirez, J., Espinosa-Paredes, G., Puebla, H.: Chaos control using small-amplitude damping signals [J]. Phys. Lett (A) 316, 196–205 (2003)
Tian, Y.C., Tadé, M.O., Levy, D.: Constrained control of chaos [J]. Phys. Lett (A) 296, 87–90 (2002)
Chen, L.Q.: An open-plus-closed-loop control for discrete chaos and hyperchaos [J]. Phys. Lett (A) 281, 327–333 (2001)
Yang, L.F., Dolnik, M., Zhabotinsky, A.M., Epstein, I.R.: Oscillatory cluster in a model of the photosensitive Belousov-Zhabotinsky reaction system with global feedback [J]. Phys. Rev (E) 62, 6414–6420 (2000)
Konishi, K., Kokame, H., Hirata, K.: Delayed-feedback control of spatial bifurcations and chaos in open-flow models [J]. Phys.Rev (E) 62, 384–388 (2000)
Osipov, G.V., Kozlov, A.K., Shalfeev, V.D.: Impulse control of chaos in continuous systems [J]. Phys. Lett (A) 247, 119–128 (1998)
Mirus, K.A., Sprott, J.C.: Controlling chaos in a high dimensional system with periodic parametric perturbations [J]. Phys. Lett (A) 254, 275–278 (1999)
Meucci, R., Gadomski, W., Ciofini, M., et al.: Experimental control of chaos by means of weak parametric perturbations [J]. Phys. Rev (E) 49, 2528–2531 (1994)
Bingzheng, L.: Nonlinear dynamics and chaos [M], pp. 343–347. Northeastern Normol University publishing house, Changchun (1994)
Bingzheng, L.: Chaos in the life science [M], pp. 141–144. Northeastern Normol University publishing house, Changchun (1999)
Lü Ling, L.: Nonlinear dynamics and chaos [M], pp. 130–133. Dalian publishing house, Dalian (2000)
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Ling, L.ü., Zou, C., Zhao, H. (2007). The Study on Chaotic Anti-control of Heart Beat BVP System. In: Li, K., Fei, M., Irwin, G.W., Ma, S. (eds) Bio-Inspired Computational Intelligence and Applications. LSMS 2007. Lecture Notes in Computer Science, vol 4688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74769-7_49
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DOI: https://doi.org/10.1007/978-3-540-74769-7_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74768-0
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