Taming a Chaotic Dripping Faucet via a Global Bifurcation

Ken Kiyono; Nobuko Fuchikami

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Taming a Chaotic Dripping Faucet via a Global Bifurcation

Ken Kiyono·Nobuko Fuchikami

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Abstract

We carried out a fluid dynamical simulation for a forced dripping faucet system using a new algorithm that was recently developed. The simulation shows that periodic external forcing induces transitions from chaotic to periodic motion and vice versa. We further constructed an improved mass-sprig model for the same system on the basis of data obtained from the fluid dynamical computations. A detailed analysis of this simple model demonstrated that the periodic motion is realized after a homoclinic bifurcation, although a stable periodic orbit is generated via a Hopf bifurcation which occurs just after a saddle node one.

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Ken Kiyono, Nobuko Fuchikami. 2000-12-26. Taming a Chaotic Dripping Faucet via a Global Bifurcation. https://arxiv.org/abs/nlin/0012059

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