Resonance and fractal geometry
Resonance and fractal geometry
Resonance and fractal geometry
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Summaryi. resonance in parametrized systemsii. two oscillators: torus- en circle dynamicsiii. driven oscillators, examples:- Hopf-Neĭmark-Sacker bifurcation- parametric resonance- Hopf saddle-node bifurcation for mapsiv. universal properties for parameter space- resonance ∼ open & dense or residual- quasi-periodicity ∼ nowhere dense or meagrea <strong>fractal</strong> set of positive measure- <strong>and</strong> chaos emerging