caa a22 4500 445361212 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s11071-010-9887-z doi (NATIONALLICENCE)springer-10.1007/s11071-010-9887-z Dynamical properties and simulation of a new Lorenz-like chaotic system [Elektronische Daten] [Xianyi Li, Qianjun Ou] This paper formulates a new three-dimensional chaotic system that originates from the Lorenz system, which is different from the known Lorenz system, Rössler system, Chen system, and includes Lü systems as its special case. By using the center manifold theorem, the stability character of its non-hyperbolic equilibria is obtained. The Hopf bifurcation and the degenerate pitchfork bifurcation, the local character of stable manifold and unstable manifold, are also in detail shown when the parameters of this system vary in the space of parameters. Corresponding bifurcation cases are illustrated by numerical simulations, too. The existence or non-existence of homoclinic and heteroclinic orbits of this system is also studied by both rigorous theoretical analysis and numerical simulation. Springer Science+Business Media B.V., 2010 Lorenz-type system nationallicence Center Manifold Theorem nationallicence Pitchfork bifurcation nationallicence Hopf bifurcation nationallicence Homoclinic and heteroclinic orbit nationallicence Li Xianyi College of Mathematics and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, P.R. China aut Ou Qianjun College of Mathematics and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, P.R. China aut Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 255-270 0924-090X 65:3<255 2011 65 11071 https://doi.org/10.1007/s11071-010-9887-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9887-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Xianyi College of Mathematics and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, P.R. China aut NATIONALLICENCE 700 1- Ou Qianjun College of Mathematics and Computational Science, Shenzhen University, 518060, Shenzhen, Guangdong, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 255-270 0924-090X 65:3<255 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer