Analysis of Rattleback Chaotic Oscillations
Rattleback is a canoe-shaped object, already known from ancient times, exhibiting a nontrivial rotational behaviour. Although its shape looks symmetric, its kinematic behaviour seems to be asymmetric. When spun in one direction it normally rotates, but when it is spun in the other direction it stops...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/569386 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558132239269888 |
|---|---|
| author | Michael Hanias Stavros G. Stavrinides Santo Banerjee |
| author_facet | Michael Hanias Stavros G. Stavrinides Santo Banerjee |
| author_sort | Michael Hanias |
| collection | DOAJ |
| description | Rattleback is a canoe-shaped object, already known from ancient times, exhibiting a nontrivial rotational behaviour. Although its shape looks symmetric, its kinematic behaviour seems to be asymmetric. When spun in one direction it normally rotates, but when it is spun in the other direction it stops rotating and oscillates until it finally starts rotating in the other direction. It has already been reported that those oscillations demonstrate chaotic characteristics. In this paper, rattleback’s chaotic dynamics are studied by applying Kane’s model for different sets of (experimentally decided) parameters, which correspond to three different experimental prototypes made of wax, gypsum, and lead-solder. The emerging chaotic behaviour in all three cases has been studied and evaluated by the related time-series analysis and the calculation of the strange attractors’ invariant parameters. |
| format | Article |
| id | doaj-art-c51398d6942346b2aa4002bb09cc919f |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c51398d6942346b2aa4002bb09cc919f2025-02-03T01:33:09ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/569386569386Analysis of Rattleback Chaotic OscillationsMichael Hanias0Stavros G. Stavrinides1Santo Banerjee2Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Athens, GreeceElectrical and Computer Engineering Department, University of Cyprus, Nicosia, CyprusLaboratory of Cryptography, Analysis & Structure, Institute for Mathematical Research, University Putra Malaysia, MalaysiaRattleback is a canoe-shaped object, already known from ancient times, exhibiting a nontrivial rotational behaviour. Although its shape looks symmetric, its kinematic behaviour seems to be asymmetric. When spun in one direction it normally rotates, but when it is spun in the other direction it stops rotating and oscillates until it finally starts rotating in the other direction. It has already been reported that those oscillations demonstrate chaotic characteristics. In this paper, rattleback’s chaotic dynamics are studied by applying Kane’s model for different sets of (experimentally decided) parameters, which correspond to three different experimental prototypes made of wax, gypsum, and lead-solder. The emerging chaotic behaviour in all three cases has been studied and evaluated by the related time-series analysis and the calculation of the strange attractors’ invariant parameters.http://dx.doi.org/10.1155/2014/569386 |
| spellingShingle | Michael Hanias Stavros G. Stavrinides Santo Banerjee Analysis of Rattleback Chaotic Oscillations The Scientific World Journal |
| title | Analysis of Rattleback Chaotic Oscillations |
| title_full | Analysis of Rattleback Chaotic Oscillations |
| title_fullStr | Analysis of Rattleback Chaotic Oscillations |
| title_full_unstemmed | Analysis of Rattleback Chaotic Oscillations |
| title_short | Analysis of Rattleback Chaotic Oscillations |
| title_sort | analysis of rattleback chaotic oscillations |
| url | http://dx.doi.org/10.1155/2014/569386 |
| work_keys_str_mv | AT michaelhanias analysisofrattlebackchaoticoscillations AT stavrosgstavrinides analysisofrattlebackchaoticoscillations AT santobanerjee analysisofrattlebackchaoticoscillations |