A resonance between long and short waves will occur if the phase velocity of the long wave matches the group velocity of the short wave. In this paper, a system with two distinct packets of short waves in resonance with a common long wave is studied. Breather solutions are calculated by the Hirota bilinear method, and rogue wave modes (unexpectedly large displacements from an otherwise calm bac...

Stationary solutions to a Fokker-Planck equation corresponding to a noisy logistic equation with correlated Gaussian white noises are constructed. Stationary distributions exist even if the corresponding deterministic system displays an unlimited growth. Positive correlations between the noises can lead to a minimum of the variance of the process and to the stochastic resonance if the system is...

We analyse the VAP three-point function of vector, axial-vector and pseudoscalar currents. In the spirit of large N C , a resonance dominated Green function is confronted with the leading high-energy behaviour from the operator product expansion. The matching is shown to be fully compatible with a chiral resonance Lagrangian and it allows to determine some of the chiral low-energy constants of ...

We propose a precision extraction of the neutron spin structure function g 1 and the virtual photon asymmetry An1 in the resonance region over a moderate Q 2 range (up to Q = 4:2(GeV=c)) using a polarized He target. The Bloom-Gilman duality has been experimentally demonstrated for the spin independent structure functions down to small values of Q. The proposed experiment combined with Deep-Inel...

We present a mechanism related to the migration of giant protoplanets embedded in a protoplanetary disc whereby a giant protoplanet is caught up, before having migrated all the way to the central star, by a lighter outer giant protoplanet. This outer protoplanet may get captured into the 2:3 resonance with the more massive one, in which case the gaps that the two planets open in the disc overla...

This paper generalizes the idea of “multiple resonance networks” to energy transfers between inductors and between capacitors and inductors, extending the theory about this class of LC lossless circuits. The networks discussed have the property of transferring all the energy initially stored in a particular capacitor or inductor in an LC network to another element in the network, through a line...

We present theoretical and experimental studies of resonant localized resistive states in a Josephson junction ladder. These complex breather states are obtained by tuning the breather frequency into the upper band of linear electromagnetic oscillations of the ladder. Their prominent feature is the appearance of resonant steps in the current–voltage (I –V) characteristics. We have found the res...

The sensitivity of the Rabi oscillations of a resonantly driven spin1 2 system to a weak and slow modulation of the static longitudinal magnetic fieldB0 is studied theoretically. We establish the mapping of a weakly driven two-level system with modulation onto a strongly driven system without modulation. The mapping suggests that different regimes of spin dynamics, known for a strongly driven s...

We present the results of a five-dimensional resonant amplitude analysis of the Λc →pK −π+ system based on 946 ± 38 reconstructed decays. These data were produced in 500 GeV/c π-N interactions by Fermilab experiment E791. We report measurements of the amplitudes for Λc decay into nonresonant pK −π+ and to pK ∗0 (890), ∆++(1232)K−, and Λ(1520)π+ and we comment on other possible resonant enhancem...

This paper discusses the existence of generalized solutions to periodic boundary value problems for semilinear elastic beam equations under a resonance condition. The argument presented makes use of the global inverse theorem and Galerkin’s method. c © 2007 Elsevier Ltd. All rights reserved.