Sergey Vakulenko - Leading Researcher - Laboratory for Mathematical Modelling of Wave Phenomena

S A Vakulenko was a visiting professor and researcher in  Lyon 1998-2003, Rennes 2004-20010, Montpellier 2012, Linkoping 2012- 2019, Bonn University 2012-2019, KAUST (King Abdullah University of Science and Technology, University of Chicago, 2012, 2015, 2016). In  2010-2024 S Vakulenko is a consultant for University of Chicago, Department Ecology and Evolution, which is one of leading departments in biology.   In 1995-2021  S Vakulenko was a head and a participant of number international and Russiam projects (Sweden, France, German and USA) for nonlinear waves, ecology, chemical kinetics and evolutionary biology. 

Main Recent Publications

Robust morphogenesis by chaotic dynamics

Reinitz, J., Vakulenko, S., Sudakow, I., Grigoriev, D.

Scientific Reports, 2023, 13(1), 7482

Dynamics of a weakly nonlinear string on an elastic foundation with a partly prescribed discrete spectrum

Abramian, A.K., Vakulenko, S.A., van Horssen, W.T.

Nonlinear Dynamics, 2023, 111(6), р. 5221–5235

Biome stability and fragmentation under critical environmental temperature change

Sudakow, I., Vakulenko, S.A., Pound, M., Kirievskaya, D.

Applied Mathematical Modelling, 2023, 114, р. 189–204

Book Chapter

A Semi-empirical Fluid Force Model for Vortex-Induced Vibration of an Elastic Structure

Abramian, A.K., Vakulenko, S.A.

Advanced Structured Materials, 2023, 196, р. 1–18

Excitable media store and transfer complicated information via topological defect motion

Sudakow, I., Vakulenko, S.A., Grigoriev, D.

Communications in Nonlinear Science and Numerical Simulation, 2023, 116, 106844

Sudakov, I., Vakulenko, S.A., Bruun, J.T.  Stochastic physics of species extinctions in a large population  Physica A: Statistical Mechanics and its Applications, 2022, 585, 126422

Vakulenko, S., Grigoriev, D.  Deep gene networks and response to stress  Mathematics, 2021, 9(23), 3028

Abramian, A.K., Vakulenko, S.A., van Horssen, W.T., Lukichev, D.V. Dynamics and buckling loads for a vibrating damped Euler–Bernoulli beam connected to an inhomogeneous foundation Archive of Applied Mechanics, 2021, 91(4), стр. 1291–1308

Vakulenko, S. Strange Attractors for Oberbeck–Boussinesq Model Journal of Dynamics and Differential Equations, 2021, 33(1),  303–343

Vakulenko, S.A., Sudakov, I., Petrovskii, S.V., Lukichev, D.V.  Stability of a planetary climate system with the biosphere species competing for resources Physical Review E, 2021, 103(2), 022202 

S Vakulenko, J Reinitz, O Radulescu, Manu Size Regulation in the Segmentation of Drosophila: Interacting Interfaces between Localized Domains of Gene Expression Ensure Robust Spatial Patterning Physical Review Letters, 2009

V Kozlov, S VakulenkoOn chaos in Lotka–Volterra systems: an analytical approach  - Nonlinearity, 2013

SA Vakulenko Dissipative systems generating any structurally stable chaos  - Advances in Differential Equations, 2000

AK Abramyan, SA Vakulenko  Oscillations of a beam with a time-varying mass  - Nonlinear Dynamics, 2011 

S Vakulenko, D Grigoriev Complexity of gene circuits, Pfaffian functions and the morphogenesis problem  - Comptes Rendus Mathematique, 2003

AK Abramian, SA Vakulenko, WT van Horssen,  On a simple oscillator problem describing ice-induced vibrations of an offshore structure - Nonlinear Dynamics, 2019

[BOOK] Complexity and evolution of dissipative systems,  S Vakulenko - 2014 - DeGruyter, Berlin

S A Vakulenko  A system of coupled oscillators can have arbitrary prescribed attractor - Journal of Physics A: Mathematical and General, 1994

On oscillations of a beam with a small rigidity and a time-varying mass AK Abramian, WT Van Horssen, SA Vakulenko - Nonlinear Dynamics, 2014

Centralized networks to generate human body motions S Vakulenko, O Radulescu, I Morozov, A Weber - Sensors, 2017

I Sudakov, SA Vakulenko, KM Golden Arctic melt ponds and bifurcations in the climate system  - Communications in Nonlinear Science and Numerical Simulation Volume 22, Issues 1–3, May 2015, Pages 70-81 2015

I Sudakov, SA Vakulenko, D Kirievskaya Large ecosystems in transition: Bifurcations and mass extinction  - Ecological Complexity, 2017