11 citations · 26 across the 9 of their papers we have counts for
10 papers
Chaotic waves serve as universal pattern generators
Sergey A. Vakulenko, Ivan Sudakow, John Reinitz +1
Excitable media are prevalent models for describing physical, chemical, and biological systems which support wave propagation. In this letter, we show that the time evolution of th…
Stochastic physics of species extinctions in a large population
Ivan Sudakov, Sergey A. Vakulenko, John T. Bruun
Species extinction is a core process that affects the diversity of life on Earth. Competition between species in a population is considered by ecological niche-based theories as a…
Stability of a planetary climate system with the biosphere competing for resources
Sergey A. Vakulenko, Ivan Sudakov, Sergei V. Petrovskii +1
With the growing number of discovered exoplanets, the Gaia concept finds its second wind. The Gaia concept defines that the biosphere of an inhabited planet regulates a planetary c…
Strange attractors for Overbeck -Boussinesq model
Sergey Vakulenko
In this paper, we consider dynamics defined by the Navier-Stokes equations in the Oberbeck-Boussinesq approximation in a two dimensional domain. This model of fluid dynamics involv…
Global stability and persistence of complex foodwebs
Vladimir Kozlov, Vladimir G. Tkachev, Sergey Vakulenko +1
We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalize some pre…
Minor climatic fluctuations lead to species extinction in a conceptual ecosystem model
Sergey A. Vakulenko, Ivan Sudakov, Luke Mander
The extinction of species is a core process that affects the diversity of life on Earth. One way of investigating the causes and consequences of extinctions is to build conceptual…
Biodiversity, extinctions and evolution of ecosystems with shared resources
V. Kozlov, S. Vakulenko, U. Wennergren
We investigate the formation of stable ecological networks where many species share the same resource. We show that such stable ecosystem naturally occurs as a result of extinction…
Gene networks accelerate evolution by fitness landscape learning
John Reinitz, Sergey Vakulenko, Dmitri Grigoriev +1
We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. We propose a…
Complex bifurcations in Bénard-Marangoni convection
Sergey Vakulenko, Ivan Sudakov
We study the dynamics of a system defined by the Navier-Stokes equations for a non-compressible fluid with Marangoni boundary conditions in the two dimensional case. We show that m…
New perspectives: stability and complex dynamics of food webs via Hamiltonian methods
Vladimir Kozlov, Sergey Vakulenko, Uno Wennergren
We investigate global stability and dynamics of large ecological networks by classical methods of the dynamical system theory, including Hamiltonian methods, and averaging. Our ana…