Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain
arXiv:2401.13141 · doi:10.1016/j.physleta.2024.129334
Abstract
We study numerically a discrete, nonlinear lattice, which is formed by a chain of pendula submitted to a harmonic-driving source with constant amplitude and parametrical excitation. A supratransmission phenomenon is obtained after the derivation of the homoclinic threshold for the case when the lattice is driven at one edge. The lattice traps gap solitons when the chain is subjected to a periodic horizontal displacement of the pivot. Discrete rogue waves are generated for the case when the pendulum is simultaneously driven and shaken. This work may pave the way for experimental generation of discrete rogue waves within simple devices.
9 pages, 9 figures
References in corpus (30)
- Deterministic Vector Freak Waves
- Energy transmission in the forbidden bandgap of a nonlinear chain
- Discrete breathers in a forced-damped array of coupled pendula: Modeling, Computation and Experiment
- General rogue waves in the focusing and defocusing Ablowitz-Ladik equations
- Nonlinear supratransmission and bistability in the Fermi-Pasta-Ulam model
- Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schrödinger Equation
- Nonlinear Band Gap Transmission in Optical Waveguide Arrays
- Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability
- Optical Rogue Waves in Whispering-Gallery-Mode Resonators
- Rogue waves on the background of periodic standing waves in the derivative NLS equation
- On the propagation of binary signals in damped mechanical systems of oscillators
- Boundary driven waveguide arrays: Supratransmission and saddle-node bifurcation
- On the transmission of binary bits in discrete Josephson-junction arrays
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- Transmission thresholds in time-periodically driven nonlinear disordered systems
- Calculated threshold of supratransmission phenomena in waveguide arrays with saturable nonlinearity
- Driven Intrinsic Localized Modes in a Coupled Pendulum Array
- Generation of travelling sine-Gordon breathers in noisy long Josephson junctions
- Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
- Nucleation of breathers via stochastic resonance in nonlinear lattices
- Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schr{ö}dinger equations
- Supratransmission-induced travelling breathers in long Josephson junctions
- Modulational instability in isolated and driven Fermi--Pasta--Ulam lattices
- Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings
- Engineering Optical Rogue Waves and Breathers in a Coupled Nonlinear Schrödinger System with Four-Wave Mixing Effect
- Instability dynamics and breather formation in a horizontally shaken pendulum chain
- ac-locking of thermally-induced sine-Gordon breathers
- Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
- Discrete Rogue waves in an array of waveguides
- Energy Transport in 1-Dimensional Oscillator Arrays With Hysteretic Damping