Abstract
We present the analysis of two attractor sequences from a dripping faucet experiment, which were taken in different regions of the control parameter (dripping rate). We used symbolic dynamics analysis to enlighten the similarities between some experimental attractors and Hénon-like attractors. Such similarities are clear evidences that the two transitions to chaos concern the breakup of a T 2 torus due to a homoclinic bifurcation, a homoclinic tangency of the manifolds of saddle-node points embedded in the torus. We also present a phenomenological model to explain how a dripping faucet experiment can show such homoclinic bifurcations, quasiattractors, and also long-range anticorrelations, behaviors similar to the ones presented by biological systems.
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More From: Physica A: Statistical Mechanics and its Applications
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