Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
}
TY - CHAP
T1 - Chaos in periodically driven dissipative zero-dispersion systems.
AU - Soskin, Stanislav M.
AU - Mannella, R.
AU - Isaia, V.
AU - Neiman, A.B.
AU - McClintock, Peter V. E.
N1 - From Proceedings of the 14th International Conference on Noise in Physical Systems and 1/f Fluctuations, Leuven, 14-18 July 1997.
PY - 1997
Y1 - 1997
N2 - An archetypal zer<>:-dispersionsystem, the tilted Duffing oscillator (TDO), is studied for weak dissipation under the action of a periodic force of intermediate amplitude, small enough for resonances to be possible but large enough for chaos to be possible too. It is found that, as in Hamiltonian systems, an overlap of resonances of different orders is important for the onset of chaos. The onset of chaos is also facilitated by certain global bifurcations of the averaged system.
AB - An archetypal zer<>:-dispersionsystem, the tilted Duffing oscillator (TDO), is studied for weak dissipation under the action of a periodic force of intermediate amplitude, small enough for resonances to be possible but large enough for chaos to be possible too. It is found that, as in Hamiltonian systems, an overlap of resonances of different orders is important for the onset of chaos. The onset of chaos is also facilitated by certain global bifurcations of the averaged system.
M3 - Chapter
SN - 981-02-3141-5
SP - 351
EP - 354
BT - Noise in Physical Systems and 1/f Fluctuations
A2 - Claes, C.
A2 - Simoen, E.
PB - World Scientific
CY - Singapore
ER -