Results 11 to 20 of about 674,252 (208)

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Mathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

Spectral description of the dynamics of ultracold interacting bosons in disordered lattices [PDF]

, 2012
We study the dynamics of a nonlinear one-dimensional disordered system from a spectral point of view. The spectral entropy and the Lyapunov exponent are extracted from the short time dynamics, and shown to give a pertinent characterization of the ...
Garreau, Jean Claude, Vermersch, Benoît
core   +1 more source

Observation of Gain Spiking and Nonlinear Beating of Optical Frequency Comb in a Microcavity [PDF]

Opt. Express 25, 31140 (2017), 2017
Optical frequency combs are crucial for both fundamental science and applications demanding wide frequency spanning and ultra-precision resolutions. Recent advancements of nonlinear Kerr effect based optical frequency combs in microcavities open up new opportunities in a compact platform, however, internal cavity-enhanced nonlinearities are still ...
arxiv   +1 more source

Leading Pollicott-Ruelle Resonances for Chaotic Area-Preserving Maps

, 2008
Recent investigations in nonlinear sciences show that not only hyperbolic but also mixed dynamical systems may exhibit exponential relaxation in the chaotic regime.
A. J. Lichtenberg, B. V. Chirikov, P. Cvitanović, P. Gaspard, R. Balescu, R. Venegeroles, Roberto Venegeroles   +6 more
core   +1 more source

Benefits of Open Quantum Systems for Quantum Machine Learning

Advanced Quantum Technologies, EarlyView., 2023
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio, Lucas Lamata, Jesús Casado‐Pascual   +2 more
wiley   +1 more source

Hidden attractors in fundamental problems and engineering models

, 2015
Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor.
A Kuznetsov, A Pisarchik, A Sommerfeld, AB Glukhovskii, AS Pikovski, B Bao, B Pol van der, B.R. Andrievsky, B.R. Andrievsky, C Li, C Li, Chunbiao Li, D Cafagna, D Dudkowski, David Hilbert, EN Lorenz, F Tahir, G Duffing, G Leonov, G. A. LEONOV, G.A. Leonov, G.A. Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, GA Leonov, Gennady A. Leonov, Huitao Zhao, I Burkin, I.I. Blekhman, J Bernat, J Sprott, J Sprott, JULIEN CLINTON SPROTT, JWS Rayleigh, L Belyustina, M Chen, M Chen, M Shahzad, M.A. Kiseleva, M.A. Kiseleva, M.A. Kiseleva, MA Aizerman, MALIHE MOLAIE, MI Rabinovich, N.V. Kuznetsov, N.V. Kuznetsov, N.V. Kuznetsov, NE Barabanov, NV Kuznetsov, P Saha, Pooja Rani Sharma, Q Li, R. Fitts, RE Kalman, S Brezetskyi, S Jafari, S Jafari, S Nose, S Vaidyanathan, S Vaidyanathan, Sajad Jafari, Seng-Kin Lao, U Chaudhuri, V Pham, V. Semenov, VA Pliss, Viet-Thanh Pham, Viet-Thanh Pham, VO Bragin, VT Pham, VT Pham, VT Pham, VT Pham, W Hoover, WP Heath, X Wang, Xiao-Yu Dang, Y Feng, Y Feng, Y Ueda, Z Wei, Z Wei, Z Zhusubaliyev, Z Zhusubaliyev, Zhanybai T. Zhusubaliyev, Zhouchao Wei, Zhouchao Wei   +93 more
core   +1 more source

High-order nonlinear optical response of a twisted bilayer graphene [PDF]

Phys. Rev. Research 2, 032015 (2020), 2020
Focusing on the twist angle for the minimal commensurate structure, we perform nonperturbative calculations of electron dynamics in the twisted bilayer graphene (TBG) under intense laser fields. We show that the TBG exhibits enriched high-harmonic generation that cannot occur in monolayer or conventional bilayers.
arxiv   +1 more source

Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory [PDF]

, 2003
We consider a model of a Hopf bifurcation interacting as a codimension 2 bifurcation with a saddle-node on a limit cycle, motivated by a low-order model for magnetic activity in a stellar dynamo.
Alastair M. Rucklidge, Ashwin, Ashwin, Ashwin, Ashwin, Ashwin, Ashwin, Covas, Ding, Fujisaka, Kirk, Knobloch, Krauskopf, Lai, Lai, Martel, Ott, Peter Ashwin, Pikovsky, Platt, Platt, Rob Sturman, Tobias, Woltering, Çenys   +24 more
core   +4 more sources

Chaotic and pseudochaotic attractors of perturbed fractional oscillator

, 2005
We consider a nonlinear oscillator with fractional derivative of the order alpha. Perturbed by a periodic force, the system exhibits chaotic motion called fractional chaotic attractor (FCA). The FCA is compared to the ``regular'' chaotic attractor.
A. A. Stanislavsky, Alligood K. T., Bush V., Erdélyi A., G. M. Zaslavsky, Gelfand I. M., Heaviside O., M. Edelman, Miller K. S., Ott E., Podlubny I.   +10 more
core   +1 more source

Nonlinear and Nonequilibrium Dynamics in Geomaterials [PDF]

, 2004
The transition from linear to nonlinear dynamical elasticity in rocks is of considerable interest in seismic wave propagation as well as in understanding the basic dynamical processes in consolidated granular materials. We have carried out a careful experimental investigation of this transition for Berea and Fontainebleau sandstones.
arxiv   +1 more source