منابع مشابه
The chaotic dripping faucet
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 two classical normal forms, an Andronov saddle-node bifurcation, and a Shilnikov homoclinic bifurcation. The former corresponds to the initiation of the instability when the drop volume exceed a critical value set by the balance...
متن کاملAn Investigation of the Chaotic Dripping Faucet
The dripping faucet experiment has been performed multiple times since it was proposed by Robert Shaw in 1984 as a system exhibiting chaos. It continues to serve as a relatively simple chaotic system for numerical and experimental analysis. This project seeked to replicate past experiments and find the route to chaos in droplet formation. It was desired to collect enough data to construct a bif...
متن کاملPhysics 6268, Group 5: Chaotic Dripping Faucet
The dripping faucet experiment seeks to provide a relatively simple visualization of a system that exhibits seemingly predictable dynamics that quickly transitions to an entirely unpredictable, chaotic behavior under certain conditions. This behavior is first modeled through equations determine from previosu research and papers in order to understand the general phenomenon and established a bas...
متن کاملHydro - dynamical models for the chaotic dripping faucet
We give a hydrodynamical explanation for the chaotic behaviour of a dripping faucet using the results of the stability analysis of a static pendant drop and a proper orthogonal decomposition (POD) of the complete dynamics. We find that the only relevant modes are the two classical normal forms associated with a saddle– node–Andronov bifurcation and a Shilnikov homoclinic bifurcation. This allow...
متن کاملThe dripping faucet revisited.
High accuracy experimental results on the nonlinear dynamical behaviour of a dripping faucet are presented. The distribution functions for droplet sizes and drip intervals together with return maps are studied for various dripping rates. Increasing this control parameter, chaotic behaviour is obtained and discussed. (c) 1996 American Institute of Physics.
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2000
ISSN: 0375-9687
DOI: 10.1143/ptps.139.507