Localized modes in a variety of driven long Josephson junctions with phase shifts

摘要: We study both analytically and numerically the localized modes in long Josephson junctions with phase shift formations, so-called $$0{-}\pi {-}0$$ $$0{-}\kappa $$ junctions. The system is described by an inhomogeneous sine-Gordon equation a variety of time-periodic drives. Perturbation technique, together multiple-scale expansions, applied to obtain amplitude oscillations. It observed that obtained equations decay time due radiative damping emission high harmonic radiations. also energy taken away from internal mode radiation waves can be balanced applying either direct or parametric appropriate external drives are re-balance dissipative losses. discuss detail excitation frequencies vicinity double natural frequency system. noted presence stabilizes nonlinear damping, producing stable breather drives, amplitudes driving forces much more sensitive than case ac drives; is, small change make drastic behavior becomes unstable as compared driving. Furthermore, we noticed that, driving, effect stronger for nearly equal twice oscillatory mode.