Gutiérrez, E.; Arrowsmith, D. K. Control of a double impacting mechanical oscillator using displacement feedback. (English) Zbl 1096.70014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 9, 3095-3113 (2004). A dynamical system approach is applied to investigate some nonlinear resonances in complex, multiactuated, servo-hydraulic engineering structures. The resonant orbits of dissipative numerical oscillators that are deemed to be of interest in engineering applications of nonlinear control theory have been reproduced in an experimental bench model. Reviewer: Mihail Megan (Timişoara) Cited in 3 Documents MSC: 70Q05 Control of mechanical systems 70K30 Nonlinear resonances for nonlinear problems in mechanics 93B52 Feedback control Keywords:nonlinear resonance; anti-chaos control PDF BibTeX XML Cite \textit{E. Gutiérrez} and \textit{D. K. Arrowsmith}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 9, 3095--3113 (2004; Zbl 1096.70014) Full Text: DOI References: [1] DOI: 10.1016/S0960-0779(98)00066-6 · Zbl 1047.37508 [2] Brahic A., Astron. Astrophys. 12 pp 98– [3] DOI: 10.1088/0951-7715/7/4/007 · Zbl 0807.34046 [4] DOI: 10.1006/jsvi.1995.0329 · Zbl 0982.70517 [5] DOI: 10.1103/PhysRevLett.65.3211 [6] DOI: 10.1007/978-1-4612-1140-2 · Zbl 0515.34001 [7] E. Gutiérrez, Proc. 1st European Conf. Structure Control (World Scientific, Singapore, 1996) pp. 306–313. [8] Hu H., Physica 106 pp 1– [9] DOI: 10.1016/S0960-0779(96)00025-2 · Zbl 1080.37570 [10] DOI: 10.1016/0020-7462(90)90030-D · Zbl 0714.73049 [11] DOI: 10.1007/BF00114795 [12] Magonette G., Phil. Trans R. Soc. London. 359 pp 1771– [13] DOI: 10.1061/(ASCE)0733-9445(1985)111:7(1482) [14] DOI: 10.1016/0022-460X(91)90592-8 [15] Nusse H. E., Physica 57 pp 39– [16] DOI: 10.1103/PhysRevLett.64.1196 · Zbl 0964.37501 [17] DOI: 10.1016/S0960-0779(97)00070-2 [18] DOI: 10.1016/0022-460X(83)90407-8 · Zbl 0561.70022 [19] DOI: 10.1115/1.3169068 [20] DOI: 10.1115/1.3169069 [21] DOI: 10.1016/0020-7462(89)90010-3 · Zbl 0666.70030 [22] Vincent T. L., Int. J. Bifurcation and Chaos 10 pp 579– [23] Visarath V., Phys. Rev. Lett. 74 pp 4420– This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.