Homoclinic tangencies and routes to chaos in a dripping faucet experiment

R.D. Pinto, J.C. Sartorelli and W.M. Gonçalves

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 244-254

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 T2 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.

Keywords: Leaky faucet; Drop; Dynamical systems; Chaos; Quasi-attractors; Homoclinic tangencies (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:291:y:2001:i:1:p:244-254

DOI: 10.1016/S0378-4371(00)00513-6

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