TY  - JOUR
A1  - Lepri, Stefano
A1  - Pikovsky, Arkady
T1  - Phase-locking dynamics of heterogeneous oscillator arrays
JF  - Chaos, solitons & fractals : applications in science and engineering ; an interdisciplinary journal of nonlinear science
N2  - We consider an array of nearest-neighbor coupled nonlinear autonomous oscillators with quenched ran-dom frequencies and purely conservative coupling. We show that global phase-locked states emerge in finite lattices and study numerically their destruction. Upon change of model parameters, such states are found to become unstable with the generation of localized periodic and chaotic oscillations. For weak nonlinear frequency dispersion, metastability occur akin to the case of almost-conservative systems. We also compare the results with the phase-approximation in which the amplitude dynamics is adiabatically eliminated.
KW  - Ginzburg-Landau lattice
KW  - Disorder
KW  - Localized chaos
KW  - Reactive coupling
Y1  - 2022
U6  - https://doi.org/10.1016/j.chaos.2021.111721
SN  - 0960-0779
SN  - 1873-2887
VL  - 155
PB  - Elsevier
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Lepri, Stefano
A1  - Pikovskij, Arkadij
T1  - Nonreciprocal wave scattering on nonlinear string-coupled oscillators
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - We study scattering of a periodic wave in a string on two lumped oscillators attached to it. The equations can be represented as a driven (by the incident wave) dissipative (due to radiation losses) system of delay differential equations of neutral type. Nonlinearity of oscillators makes the scattering non-reciprocal: The same wave is transmitted differently in two directions. Periodic regimes of scattering are analyzed approximately, using amplitude equation approach. We show that this setup can act as a nonreciprocal modulator via Hopf bifurcations of the steady solutions. Numerical simulations of the full system reveal nontrivial regimes of quasiperiodic and chaotic scattering. Moreover, a regime of a "chaotic diode," where transmission is periodic in one direction and chaotic in the opposite one, is reported. (C) 2014 AIP Publishing LLC.
Y1  - 2014
U6  - https://doi.org/10.1063/1.4899205
SN  - 1054-1500
SN  - 1089-7682
VL  - 24
IS  - 4
PB  - American Institute of Physics
CY  - Melville
ER  -