2014/05/15 by François Léo, François Leo, Stéphane Coen +6 · 2 citations
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Amplitude #Bifurcation #Classical mechanics #Dispersion (optics) #Dissipative system #Instability #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Optics #Physics #Quantum electrodynamics #Quantum mechanics #Resonator #Statistical physics #Symmetry (geometry) #Symmetry breaking #physics.optics
paper · pdf · doi:10.1016/j.physleta.2015.04.027
published as Phys. Lett. A, 379 (34), pp. 1934-1937 (2015) · 5 pages, 2 figures
arxiv created 2014/05/15 · openalex publication_date 2015/04/21 · openalex created_date 2016/06/24 · arxiv updated 2017/09/01 · openalex updated_date 2026/08/05
It is analytically shown that symmetry breaking, in dissipative systems, affects the nature of the bifurcation at onset of instability resulting in transitions from super to subcritical bifurcations. In the case of a nonlinear fiber cavity, we have derived an amplitude equation to describe the nonlinear dynamics above threshold. An analytical expression of the critical transition curve is obtained and the predictions are in excellent agreement with the numerical solutions of the full dynamical model.