2011/04/15 by F. Palmero, L. Q. English, J. Cuevas +2
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Breather #Capacitance #Computational physics #Diode #Harmonic #Instability #Mechanics #Modulational instability #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Optoelectronics #Physics #Quantum mechanics #Voltage #nlin.PS
paper · pdf · doi:10.1103/physreve.84.026605
published as Phys. Rev. E 84 (2011) 026605
arxiv created 2011/04/15 · openalex publication_date 2011/08/05 · arxiv updated 2015/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study experimentally and numerically the existence and stability properties of discrete breathers in a periodic nonlinear electric line. The electric line is composed of single cell nodes, containing a varactor diode and an inductor, coupled together in a periodic ring configuration through inductors and driven uniformly by a harmonic external voltage source. A simple model for each cell is proposed by using a nonlinear form for the varactor characteristics through the current and capacitance dependence on the voltage. For an electrical line composed of 32 elements, we find the regions, in driver voltage and frequency, where n-peaked breather solutions exist and characterize their stability. The results are compared to experimental measurements with good quantitative agreement. We also examine the spontaneous formation of n-peaked breathers through modulational instability of the homogeneous steady state. The competition between different discrete breathers seeded by the modulational instability eventually leads to stationary n-peaked solutions whose precise locations is seen to sensitively depend on the initial conditions.