Ueta, Tetsushi; Chen, Guanrong Bifurcation analysis of Chen’s equation. (English) Zbl 1090.37531 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 8, 1917-1931 (2000). Summary: Anticontrol of chaos by making a nonchaotic system chaotic has led to the discovery of some new chaotic systems, particularly the continuous-time three-dimensional autonomous Chen equation with only two quadratic terms. This paper further investigates some basic dynamical properties and various bifurcations of Chen’s equation, thereby revealing its different features from some other chaotic models such as its origin, the Lorenz system. Cited in 139 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 34C23 Bifurcation theory for ordinary differential equations 34C28 Complex behavior and chaotic systems of ordinary differential equations PDF BibTeX XML Cite \textit{T. Ueta} and \textit{G. Chen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 8, 1917--1931 (2000; Zbl 1090.37531) Full Text: DOI OpenURL References: [1] DOI: 10.1142/S0218127498001236 · Zbl 0941.93522 [2] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 [3] DOI: 10.1142/S0218127499000985 · Zbl 0964.93039 [4] DOI: 10.1142/S0218127400001250 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.