Abstract
Passage through multiple resonances and synchronization in the periodic Kdv equation was studied. The passage allowed efficient excitation and control of N-phase waves by starting from trivial (zero) initial conditions and using a weak [0(ε)] forcing. It was found that the thresholds for capture into resonance and small modulations of the main spectra, oscillating at 0(ε1/2) frequencies are the main signatures of synchronized Kdv states.
Original language | English |
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Article number | 074101 |
Pages (from-to) | 074101/1-074101/4 |
Journal | Physical Review Letters |
Volume | 90 |
Issue number | 7 |
State | Published - 21 Feb 2003 |