Chaotic Dripping
نویسندگان
چکیده
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 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 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 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 کاملChaotic dynamics of driven flux drops: a superconducting "dripping faucet".
When a current is applied to a type-I superconducting strip containing a narrow channel across its width, magnetic flux spots nucleate at the edge and are then driven along the channel by the current. These flux "drops" are reminiscent of water drops dripping from a faucet, a model system for studying low-dimensional chaos. We use a novel high-bandwidth Hall probe to detect in real time the mot...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Arsenal: The Undergraduate Research Journal of Augusta University
سال: 2021
ISSN: 2380-5064
DOI: 10.21633/issn.2380.5064/s.2021.04.01.29