Lü, Jinhu; Chen, Guanrong A new chaotic attractor coined. (English) Zbl 1063.34510 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 3, 659-661 (2002). The authors deal with a new chaotic attractor generated by the following simple three-dimensional autonomous system \[ \dot x= a(y- x),\quad\dot y= -xz+ cy,\quad\dot z= xy- bz.\tag{1} \] Obviously, (1) is not diffeomorphic to the Lorenz and Chen system since the eigenvalue structures of their corresponding equilibrium points are not equivalent. It is straightforward but somewhat tedious to verify that there is no nonsingular coordinate transformation that can map one system into the other. Therefore, they are all not topologically equivalent. Reviewer: Messoud A. Efendiev (Berlin) Cited in 5 ReviewsCited in 615 Documents MSC: 34D45 Attractors of solutions to ordinary differential equations 34C28 Complex behavior and chaotic systems of ordinary differential equations 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:chaotic attractor; topologically equivalent; eigenvalue structures PDF BibTeX XML Cite \textit{J. Lü} and \textit{G. Chen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 3, 659--661 (2002; Zbl 1063.34510) Full Text: DOI OpenURL References: [1] Celikovský S., Int. J. Bifurcation and Chaos [2] DOI: 10.1142/3033 [3] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 [4] DOI: 10.1007/978-1-4612-5767-7 [5] Ueta T., Int. J. Bifurcation and Chaos 10 pp 1917– [6] Vanecek A., Control Systems: From Linear Analysis to Synthesis of Chaos (1996) 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.