Rössler, O. E. An equation for continuous chaos. (English) Zbl 1371.37062 Phys. Lett., A 57, No. 5, 397-398 (1976). Summary: A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable. The flow in state space allows for a “folded” Poincaré map (horseshoe map). Many more natural and artificial systems are governed by this type of equation. Cited in 5 ReviewsCited in 1072 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Lorenz, E. N., J. Atmos. Sci., 20, 130 (1963) · Zbl 1417.37129 [2] Haken, H., Phys. Lett., 53A, 77 (1975) [3] Samle, S., Bull. Amer. Math. Soc., 73, 747 (1967) [4] Rössler, O. E., Z. Naturforsch., 31a, 259 (1976) [5] Li, T. Y.; Yorke, J. A., Amer. Math. Monthly, 82, 985 (1975) · Zbl 0351.92021 [6] Ruelle, D.; Takens, F., Comm. Math. Phys., 20, 167 (1971) · Zbl 0227.76084 [7] O.E. Rössler, Chaos in Abstract Kinetics: Two Prototypes, Bull. Math. Biol., to be published.; O.E. Rössler, Chaos in Abstract Kinetics: Two Prototypes, Bull. Math. Biol., to be published. · Zbl 0365.92003 [8] May, R. M., Nature, 256, 165 (1975), London 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.