This paper is concerned with the strong resonance bifurcations with a reflection symmetry ie
ℤ 2-symmetry in maps. We compute the normal form of 1: 2 resonance and 1: 3 resonance …

Предложено простое двумерное отображение, параметрами которого являются
непосредственно след и якобиан матрицы возмущений неподвижной точки. На …

Рассматривается динамика связанной системы, составленной из подсистем,
демонстрирующих бифуркацию Неймарка--Сакера. Проведено исследование …

Smooth ordinary Delay Differential Equations (DDEs) appear in many applications,
including neuroscience, ecology, and engineering. The theory of local bifurcations in one …

We consider a resonance 1: 1 bifurcation with Z 3-symmetry in a discrete-time dynamical
system. We employ standard normalization and center manifold reduction techniques. With …

No single model would be able to capture all processes in the brain at once, since its
interactions are too numerous and too complex. Therefore, it is common practice to simplify …

We construct a theory-based numerical method for starting the continuation of homoclinic
tangencies near 1: 1 resonances, for systems with arbitrary dimension≥ 2. The core of the …

Abstract Effects of Z _n Z n-symmetry,(n ≥ 2 n≥ 2), on normal form of Neimark–Sacker
bifurcation in discrete time dynamical systems are investigated. As an application, we …

Three kinds of bifurcations of two coupled Rulkov neurons with electrical synapses are
investigated in this paper. The critical normal forms are derived based on the center …

В работе обсуждается построение удобных и информационно емких трехмерных
отображений, демонстрирующих существование 2-торов и 3-торов. Первое …