Rachinskiy, Dmitry I.
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Professor Rachinskiy's research "centers at nonlinear dynamics, in particular, dynamics of systems with memory." He also works in applied mathematical modeling." Learn more about Dr. Rachinskiy on his Home page.
Please note: At UT Dallas Dr. Rachinskiy's name is spelled with a "y," but in his publications his name is spelled Rachinskii. Treasures retains this latter spelling in all the records of his publications.
Works in Treasures @ UT Dallas are made available exclusively for educational purposes such as research or instruction. Literary rights, including copyright for published works held by the creator(s) or their heirs, or other third parties may apply. All rights are reserved unless otherwise indicated by the copyright owner(s).
Recent Submissions
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Periodic Pulsating Dynamics of Slow-Fast Delayed Systems with a Period Close to the Delay
(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 ... -
Chaos In Saw Map
(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 ... -
TASEP Modelling Provides a Parsimonious Explanation for the Ability of a Single uORF to Derepress Translation during the Integrated Stress Response
Translation initiation is the rate-limiting step of protein synthesis that is downregulated during the Integrated Stress Response (ISR). Previously, we demonstrated that most human mRNAs that are resistant to this inhibition ... -
Timing Jitter of Passively-Mode-Locked Semiconductor Lasers Subject to Optical Feedback: A Semi-Analytic Approach
(American Physical Society, 2015-11)We study the effect of delayed coherent optical feedback on the pulse timing jitter in passively-mode-locked semiconductor lasers with the help of a semi-analytical method which we develop to calculate the timing fluctuations ... -
Effect of Dynamical Instability on Timing Jitter in Passively Mode-Locked Quantum-Dot Lasers
(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 ... -
Analytical Solution for a Class of Network Dynamics with Mechanical and Financial Applications
(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
(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 ... -
Hysteresis Can Grant Fitness in Stochastically Varying Environment
(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
(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 ...
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