Results 31 to 40 of about 115 (42)

Community characterization of heterogeneous complex systems

, 2010
We introduce an analytical statistical method to characterize the communities detected in heterogeneous complex systems. By posing a suitable null hypothesis, our method makes use of the hypergeometric distribution to assess the probability that a given ...
, , Fabrizio Lillo, Feller W, Jan Varho, Jyrki Piilo, McCallum A, Michele Tumminello, Miller R G, Onnela J P, Rosario N Mantegna, Salvatore Miccichè, Tumminello M Micciché S Lillo F Piilo J Mantegna R N   +12 more
core   +1 more source

Characteristics and stability of soliton crystals in optical fibres for the purpose of optical frequency comb generation [PDF]

, 2017
We study the properties of a soliton crystal, a bound state of several optical pulses that propagate with a fixed temporal separation through the optical fibres of the proposed approach for generation of optical frequency combs (OFC) for astronomical ...
Blow, K., Bodenmüller, D., Boggio, J. M.Chavez, Böhm, M., Rieznik, A. A., Roth, M. M., Zajnulina, M.   +6 more
core   +3 more sources

Solitons in PT-symmetric ladders of optical waveguides

, 2017
We consider a PT-symmetric ladder-shaped optical array consisting of a chain of waveguides with gain coupled to a parallel chain of waveguides with loss. All waveguides have the focusing Kerr nonlinearity.
Alexeeva, N V, Barashenkov, I V, Kivshar, Y S   +2 more
core   +1 more source

Stable vortex structures in colliding self-gravitating Bose-Einstein condensates

, 2022
A key feature of ultra-light dark matter composed by bosons is the formation of superfluid Bose-Einstein condensate (BEC) structures on galactic scales.
Bidasyuk, Y. M., Gorbar, E. V., Jia, Junji, Korshynska, K., Nikolaieva, Y. O., Yakimenko, A. I.   +5 more
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Two infinite families of resonant solutions for the Gross-Pitaevskii equation

, 2018
We consider the two-dimensional Gross-Pitaevskii equation describing a Bose-Einstein condensate in an isotropic harmonic trap. In the small coupling regime, this equation is accurately approximated over long times by the corresponding nonlinear resonant ...
Biasi, Anxo, Bizon, Piotr, Craps, Ben, Evnin, Oleg   +3 more
core   +1 more source

Classical and quantum nonlinear localized excitations in discrete systems [PDF]

, 2005
Pre-pint tomado de ArxivDiscrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units.
Archilla, Juan F. R., Cuevas-Maraver, Jesús, Palmero Acebedo, Faustino, Romero Romero, Francisco, Romero Romero, José María, Sánchez-Rey, Bernardo, Álvarez Chillida, María Azucena   +6 more
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Dark solitons and their bound states in a nonlinear fiber with second- and fourth-order dispersion

We study the excitations of dark solitons in a nonlinear optical fiber with the second- and fourth-order dispersion, and find the emergence of striped dark solitons (SDSs) and some multi-dark-soliton bound states.
Gao, Peng, Li, Xin, Lv, Li-Zheng
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Implications of tristability on localization phenomena: a necking bifurcation's tale

We analyze the implication of tristability on localization phenomena in one-dimensional extended dissipative systems. In this context, localized states appear due to the interaction and locking of front waves connecting different extended states.
Akakpo, Edem Kossi, Haelterman, Marc, Leo, Francois, Parra-Rivas, Pedro   +3 more
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Modulational Instability of the time-fractional Ivancevic option pricing model and the Coupled Nonlinear volatility and option price model

We study the time-fractional Ivancevic option pricing model and the coupled nonlinear volatility and option price model via both modulational instability (MI) analysis and direct simulations.
Gaafele, C., Madimabe, Edmond B., Matabana, T., Mozola, B., Ndebele, K., Otlaadisa, P., Pilane, P., Seamolo, K.   +7 more
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One family of dark-bright solitons with striking width differences

Most of previously reported dark-bright solitons admit identical width for the two components in both theoretical and experimental studies. We report dark-bright solitons can admit strikingly different widths, and derive a family of analytical solutions ...
Mao, Ning, Zhao, Li-Chen
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