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Ultra-Chaos in the Motion of Walking Droplet.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 12/30/2023, Vol. 33 Issue 16, p1-14. 14p. - Publication Year :
- 2023
-
Abstract
- A liquid bath vibrating vertically can lead to the emergence of a self-propelled walking droplet on its free surface, which can exhibit chaotic motion. It is well-known that trajectories of a chaotic system are sensitive to its initial condition, known as the "butterfly-effect", while its statistics normally remain stable to small disturbances: this type of chaos is called "normal-chaos". However, a concept called "ultra-chaos" has been recently introduced, whose statistical features are unstable, i.e. extremely sensitive to small disturbances. Up to now, a few examples of ultra-chaos have been reported. In this paper, the influence of tiny disturbances on the motion of walking droplet is investigated. It is found that both normal-chaos and ultra-chaos exist in the motion of the walking droplet. Different from the normal-chaotic motion, even the statistical properties of the droplet's ultra-chaotic motion are sensitive to tiny disturbances. Therefore, this illustrates once again that ultra-chaos indeed exists widely and represents a higher disorder compared with normal-chaos. The ultra-chaos as a new concept can widen our knowledge about chaos and provide us with a new point of view to study chaotic properties. It should be emphasized that, for an ultra-chaos, it is impossible to repeat any results of its physical experiments or numerical simulations even in the meaning of statistics! Unfortunately, reproducibility is a corner stone of modern science. Thus, the paradigm of modern scientific research might be invalid for an ultra-chaotic system. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WALKING speed
*DROPLETS
*COMPUTER simulation
*FREE surfaces
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 33
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 174525445
- Full Text :
- https://doi.org/10.1142/S0218127423501912