Physical Review Letters · 1982 · 220 citations · 17 references
Natural SciencesChemistryPhysicsChemical KineticsDynamical SystemsPhysical ChemistryChaos TheoryComplex DynamicsNonlinear DynamicsReaction DynamicsChaos In Dynamical SystemsChaotic AttractorsChaotic DynamicsChaotic MapsOne-dimensional DynamicsOne-dimensional MapsPeriod DoublingRoute To Chaos
Experiments on the Belousov-Zhabotinskii reaction in a stirred flow reactor reveal behavior that is strikingly similar to that generated by one-dimensional maps with a single extremum. In particular, a period-doubling sequence is observed that leads to a regime containing both chaotic and periodic states. Within the experimental resolution the ordering of the periodic states is in accord with the theory of one-dimensional maps.
17
Hassler Whitney · Annals of Mathematics · 1936 · 763 citations
Many routes to turbulent convection
J. P. Gollub, S. Benson · Journal of Fluid Mechanics · 1980 · 644 citations
Observation of Chaos in Optical Bistability
H. M. Gibbs, F. A. Hopf, David L. Kaplan et al. · Physical Review Letters · 1981 · 407 citations