Return Map for the Chaotic Dripping Faucet

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概要

• 論文の詳細を見る

• We propose a simple model for the chaotic dripping of a faucet in terms of a return map constructed by analyzing the stability of a pendant drop.The return map couples an Andronov saddle-node bifurcation corresponding to the instability of the drop whose volume exceed a critical value, and a Shilnikov homoclinic bifurcation induced by the presence of a weakly damped oscillatory mode.We show that the predictions of the return map are qualitatively consistent with the experimental results.We compare these results with those of a delay map constructed from the solution of an asymptotic lubrication model for the evolution of the dripping faucet.

• 理論物理学刊行会の論文
• 2000-07-14

著者

• Mahadevan L.

  Department Of Mechanical Engineering

• Riera C.

  Institut Non Lineaire De Nice

• COULLET P.

  Institut Non Lineaire de Nice

関連論文

• Reduced Description of the Confined Quasi-Reversible Ginzburg-Landau Equation
• Return Map for the Chaotic Dripping Faucet

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