Now showing items 1-5 of 5

    • Analytical Solution for a Class of Network Dynamics with Mechanical and Financial Applications 

      Krej?©, P.; Lamba, H.; Melnik, S.; Rachinskii, Dmitry I. (Published By The American Physical Society Through The American Institute Of Physics, 2014-09-29)
      We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone input. The nodes may have either a discrete ...
    • Bistability and Hysteresis in an Optically Injected Two-Section Semiconductor Laser 

      Pimenov, A.; Viktorov, E. A.; Hegarty, S. P.; Habruseva, T.; Huyet, G.; Rachinskii, Dmitry I.; Vladimirov, A. G. (Amer Physical Soc, 2014-05-08)
      The effect of coherent single frequency injection on two-section semiconductor lasers is studied numerically using a model based on a set of delay differential equations. The existence of bistability between different ...
    • Effect of Dynamical Instability on Timing Jitter in Passively Mode-Locked Quantum-Dot Lasers 

      Pimenov, A.; Habruseva, T.; Rachinskii, Dmitry I.; Hegarty, S. P.; Huyet, G.; Vladimirov, A. G. (Optical Soc Amer, 2014-12-08)
      We study the effect of noise on the dynamics of passively mode-locked semiconductor lasers both experimentally and theoretically. A method combining analytical and numerical approaches for estimation of pulse timing jitter ...
    • Hysteresis Can Grant Fitness in Stochastically Varying Environment 

      Friedman, Gary; McCarthy, Stephen; Rachinskii, Dmitry I. (Public Library of Science, 2014-07-28)
      Although the existence of multiple stable phenotypes of living organisms enables random switching between phenotypes as well as non-random history dependent switching called hysteresis, only random switching has been ...
    • Periodic Canard Trajectories with Multiple Segments Following the Unstable Part of Critical Manifold 

      Krasnosel'skii, Alexander M.; O'Grady, Edward; Pokrovskii, Alexei V.; Rachinskii, Dmitry I. (2012-11-01)
      We consider a scalar fast differential equation which is periodically driven by a slowly varying input. Assuming that the equation depends on n scalar parameters, we present simple sufficient conditions for the existence ...