Physical Review Letters · 1982 · 300 citations · 11 references
Natural SciencesPhysicsDynamical SystemsBifurcation TheoryChaos TheoryNonlinear DynamicsOscillatorsBifurcationChaotic DynamicsChaotic OscillatorsNonlinear OscillationsNonlinear Oscillator AnalysisNonlinear OscillatorsOscillator Nonlinearity
A bifurcation diagram for a driven nonlinear semiconductor oscillator is measured directly, showing successive subharmonic bifurcations to $\frac{f}{32}$, onset of chaos, noise band merging, and extensive noise-free windows. The overall diagram closely resembles that computed for the logistic model. Measured values of universal numbers are reported, including effects of added noise.
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Simple mathematical models with very complicated dynamics
Robert M. May · Nature · 1976 · 6.9K citations
Roads to turbulence in dissipative dynamical systems
Jean‐Pierre Eckmann · Reviews of Modern Physics · 1981 · 838 citations