European Journal of Physics · 1989 · 47 citations · 16 references
Natural SciencesPhysicsScience EducationDynamical SystemsFluid DynamicsSystem DynamicsBifurcation TheoryChaos TheoryNonlinear DynamicsChaos In Dynamical SystemsChaotic DynamicsChaotic OscillatorsPeriod DoublingPeriod-doubling BifurcationRoute To Chaos
An advanced undergraduate experiment on the chaotic behaviour of a dripping faucet is presented. The experiment can be used for the demonstration of typical features of chaotic phenomena and also allows the advanced physics student to learn about the use of microcomputers as data-taking devices. For convenience a brief introduction to the basic concepts of nonlinear dynamics and to the period-doubling route to chaos are included.
16
Simple mathematical models with very complicated dynamics
Robert M. May · Nature · 1976 · 6.9K citations
Universal behavior in nonlinear systems
Mitchell J. Feigenbaum · Physica D Nonlinear Phenomena · 1983 · 722 citations
Many routes to turbulent convection
J. P. Gollub, S. Benson · Journal of Fluid Mechanics · 1980 · 644 citations