Extreme events in discrete nonlinear lattices
Апстракт
We perform statistical analysis on discrete nonlinear waves generated through modulational instability in the context of the Salerno model that interpolates between the intregable Ablowitz-Ladik (AL) equation and the nonintegrable discrete nonlinear Schrodinger equation. We focus on extreme events in the form of discrete rogue or freak waves that may arise as a result of rapid coalescence of discrete breathers or other nonlinear interaction processes. We find power law dependence in the wave amplitude distribution accompanied by an enhanced probability for freak events close to the integrable limit of the equation. A characteristic peak in the extreme event probability appears that is attributed to the onset of interaction of the discrete solitons of the AL equation and the accompanied transition from the local to the global stochasticity monitored through the positive Lyapunov exponent of a nonlinear map.
Кључне речи:
integral equations / lattice theory / Lyapunov methods / probability / Schrodinger equation / solitons / statistical analysis / stochastic processesИзвор:
Physical Review E, 2009, 79, 2Финансирање / пројекти:
- Ministry of Science of Serbia [141034]
DOI: 10.1103/PhysRevE.79.025601
ISSN: 1539-3755
PubMed: 19391797
WoS: 000263809800006
Scopus: 2-s2.0-61949094381
Колекције
Институција/група
VinčaTY - JOUR AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Lazarides, Nikos AU - Tsironis, Giorgos P. PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3643 AB - We perform statistical analysis on discrete nonlinear waves generated through modulational instability in the context of the Salerno model that interpolates between the intregable Ablowitz-Ladik (AL) equation and the nonintegrable discrete nonlinear Schrodinger equation. We focus on extreme events in the form of discrete rogue or freak waves that may arise as a result of rapid coalescence of discrete breathers or other nonlinear interaction processes. We find power law dependence in the wave amplitude distribution accompanied by an enhanced probability for freak events close to the integrable limit of the equation. A characteristic peak in the extreme event probability appears that is attributed to the onset of interaction of the discrete solitons of the AL equation and the accompanied transition from the local to the global stochasticity monitored through the positive Lyapunov exponent of a nonlinear map. T2 - Physical Review E T1 - Extreme events in discrete nonlinear lattices VL - 79 IS - 2 DO - 10.1103/PhysRevE.79.025601 ER -
@article{ author = "Maluckov, Aleksandra and Hadžievski, Ljupčo and Lazarides, Nikos and Tsironis, Giorgos P.", year = "2009", abstract = "We perform statistical analysis on discrete nonlinear waves generated through modulational instability in the context of the Salerno model that interpolates between the intregable Ablowitz-Ladik (AL) equation and the nonintegrable discrete nonlinear Schrodinger equation. We focus on extreme events in the form of discrete rogue or freak waves that may arise as a result of rapid coalescence of discrete breathers or other nonlinear interaction processes. We find power law dependence in the wave amplitude distribution accompanied by an enhanced probability for freak events close to the integrable limit of the equation. A characteristic peak in the extreme event probability appears that is attributed to the onset of interaction of the discrete solitons of the AL equation and the accompanied transition from the local to the global stochasticity monitored through the positive Lyapunov exponent of a nonlinear map.", journal = "Physical Review E", title = "Extreme events in discrete nonlinear lattices", volume = "79", number = "2", doi = "10.1103/PhysRevE.79.025601" }
Maluckov, A., Hadžievski, L., Lazarides, N.,& Tsironis, G. P.. (2009). Extreme events in discrete nonlinear lattices. in Physical Review E, 79(2). https://doi.org/10.1103/PhysRevE.79.025601
Maluckov A, Hadžievski L, Lazarides N, Tsironis GP. Extreme events in discrete nonlinear lattices. in Physical Review E. 2009;79(2). doi:10.1103/PhysRevE.79.025601 .
Maluckov, Aleksandra, Hadžievski, Ljupčo, Lazarides, Nikos, Tsironis, Giorgos P., "Extreme events in discrete nonlinear lattices" in Physical Review E, 79, no. 2 (2009), https://doi.org/10.1103/PhysRevE.79.025601 . .