caa a22 4500 445360615 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9810-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9810-7 Wen Guilin The State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, The Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, 410082, Changsha, Hunan, China aut Designing Hopf limit circle to dynamical systems via modified projective synchronization [Elektronische Daten] [Guilin Wen] In order to affirmatively utilize the characteristics of Hopf limit circle, a control method to design Hopf circle with proper characteristics into dynamical system is established based on the modified projective synchronization (MPS). The proposed method may serve as a complete solution to design a stable Hopf limit circle, which can simultaneously achieve the following three properties: with the desired amplitudes and shape changes, with the pre-specified location center, and at a pre-specified system parameter location. In contrast to the methods based on Hopf bifurcation theory, the new method is independent of the verbose procedures for the bifurcation critical conditions and the stability analysis. Numerical examples demonstrate the effectiveness of the proposed method. Springer Science+Business Media B.V., 2010 Bifurcation control nationallicence Hopf bifurcation nationallicence Limit circle nationallicence Projective synchronization nationallicence Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 387-393 0924-090X 63:3<387 2011 63 11071 https://doi.org/10.1007/s11071-010-9810-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9810-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wen Guilin The State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, The Key Laboratory of Advanced Design and Simulation Techniques for Special Equipment, Ministry of Education, Hunan University, 410082, Changsha, Hunan, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 387-393 0924-090X 63:3<387 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer