Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems.
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
Wave of Chaos and Pattern Formation in Spatial Predator-Prey Systems with Holling Type IV Predator Response
The challenges to live in the open water and the diversity of habitats in the marine environments prompts phytoplankton to devise strategies which often involve production of toxins by Harmful Algal Bloom (HAB) and rapid production of metabolites from non-toxic precursor. The functional response of the predator is described by Holling type IV. We investigate wave phenomena and non-linear non-equilibrium pattern formation in a phytoplankton-zooplankton system with Holling type IV functional response....
ω-Limit sets for triangular mappings
In 1992 Agronsky and Ceder proved that any finite collection of non-degenerate Peano continua in the unit square is an ω-limit set for a continuous map. We improve this result by showing that it is valid, with natural restrictions, for the triangular maps (x,y) ↦ (f(x),g(x,y)) of the square. For example, we show that a non-trivial Peano continuum C ⊂ I² is an orbit-enclosing ω-limit set of a triangular map if and only if it has a projection property. If C is a finite union of Peano continua then,...
Аттракторы и динамические системы, порождаемые начально-краевыми задачами для уравнений движения вязкоупругих жидкостей
Прямой метод Ляпунова в оценках топологической энтропии
Системы с гомоклинической кривой многомерного седло-фокуса и спиральный хаос