Now showing items 1-7 of 7

    • 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 ...
    • Chaos In Saw Map 

      Begun, Nikita; Kravetc, Pavel; Rachinskiy Dmitry I. (World Scientific Publ Co Pte Ltd, 2019-02)
      We consider the dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincare map of simple two-dimensional discrete time piecewise linear systems ...
    • 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 ...
    • Periodic Pulsating Dynamics of Slow-Fast Delayed Systems with a Period Close to the Delay 

      Kravetc, Pavel; Rachinskii, Dmitry I.; Vladimirov, A. (Cambridge Univ Press, 2017-12-22)
      We consider slow-fast delayed systems and discuss pulsating periodic solutions, which are characterised by specific properties that (a) the period of the periodic solution is close to the delay, and (b) these solutions are ...