Chaotic motions in the dynamics of space tethered systems. 3. Influence of energy dissipation

2001 ◽  
Vol 7 (5-6) ◽  
pp. 13-20 ◽  
Author(s):  
A.V. Pirozhenko ◽  
1987 ◽  
Vol 183 ◽  
pp. 543-565 ◽  
Author(s):  
X. M. Gu ◽  
P. R. Sethna

Surface waves in a rectangular container subjected to vertical oscillations are studied. Effects of energy dissipation along the lines of Miles (1967) and the effect of surface tension are included. Sufficient conditions, for two modes to dominate the motion, are given. The analysis is along the lines of Miles (1984a) and Holmes (1986). A complete bifurcation analysis is performed, and the modal amplitudes and phases are shown to have chaotic behaviour. This result is obtained under assumptions different from those of Holmes (1986). The conclusions regarding chaotic motions are based on a theorem of šilnikov (1970).


Author(s):  
Krisztina Sebők-Nagy ◽  
László Biczók ◽  
Akimitsu Morimoto ◽  
Tetsuya Shimada ◽  
Haruo Inoue

2018 ◽  
Author(s):  
Praveen K. Sharma ◽  
Harish N Dixit
Keyword(s):  

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