The Physics of Fluids · 1988 · 21 citations · 3 references
Period-doubling BifurcationsBackground Host MediumEngineeringPhysicsChaos TheoryEntropyHigh-dimensional ChaosN GasesTransport PhenomenaBifurcation TheoryPeriodic Travelling WaveMultiphase FlowChaotic MixingHomogeneous Gas Mixtures
The transport of N gases in a background host medium can be described, in the case of constant collision frequencies, by a set of N ordinary differential equations of the Lotka–Volterra type. It is shown that for N=3 such a set exhibits chaotic dynamics generated by a sequence of period-doubling bifurcations starting from a supercritical Hopf bifurcation of the three-species equilibrium state.
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Strange attractors and chaotic motions of dynamical systems
Edward Ott · Reviews of Modern Physics · 1981 · 472 citations