caa a22 4500 445361409 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11071-010-9904-2 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9904-2 Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci [Elektronische Daten] [Caibin Zeng, Qigui Yang, Junwei Wang] This paper reports a new fractional-order Lorenz-like system with one saddle and two stable node-foci. First, some sufficient conditions for local stability of equilibria are given. Also, this system has a double-scroll chaotic attractor with effective dimension being less than three. The minimum effective dimension for this system is estimated as 2.967. It should be emphasized that the linear differential equation in fractional-order Lorenz-like system seems to be less "sensitive” to the damping, introduced by a fractional derivative, than two other nonlinear equations. Furthermore, mixed synchronization of this system is analyzed with the help of nonlinear feedback control method. The first two pairs of state variables between the interactive systems are anti-phase synchronous, while the third pair of state variables is complete synchronous. Numerical simulations are performed to verify the theoretical results. Springer Science+Business Media B.V., 2010 Fractional order system nationallicence Chaos nationallicence Lorenz-like system nationallicence Mixed synchronization nationallicence Minimum effective nationallicence Zeng Caibin School of Science, South China University of Technology, 510640, Guangzhou, P.R. China aut Yang Qigui School of Science, South China University of Technology, 510640, Guangzhou, P.R. China aut Wang Junwei School of Informatics, Guangdong University of Foreign Studies, 510006, Guangzhou, P.R. China aut Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 457-466 0924-090X 65:4<457 2011 65 11071 https://doi.org/10.1007/s11071-010-9904-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9904-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zeng Caibin School of Science, South China University of Technology, 510640, Guangzhou, P.R. China aut NATIONALLICENCE 700 1- Yang Qigui School of Science, South China University of Technology, 510640, Guangzhou, P.R. China aut NATIONALLICENCE 700 1- Wang Junwei School of Informatics, Guangdong University of Foreign Studies, 510006, Guangzhou, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/4(2011-09-01), 457-466 0924-090X 65:4<457 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer