A model map $ Q $ for the Hopf-saddle-node (HSN) bifurcation of fixed points of
diffeomorphisms is studied. The model is constructed to describe the dynamics inside an …

The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is
analysed by means of a case study: a two-parameter model map G is constructed, such that …

Представлено введение в теорию бифуркаций отображений. Обсуждаются свойства
основных бифуркаций. Даны различные примеры. Изложение ведется с «физических» …

Neural field models with transmission delays may be cast as abstract delay differential
equations (DDE). The theory of dual semigroups (also called sun-star calculus) provides a …

Deterministic continuous-time models in the sciences often take the form of an ordinary
differential equation. When the system under scrutiny is assumed to be free of external …

Обсуждается методически важная бифуркация Богданова-Такенса. Для простейшей
модели описаны связанные с ней бифуркации и эволюция фазовых портретов …

The paper provides full algorithmic details on switching to the continuation of all possible
codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n …

Представлено введение в теорию динамических систем и бифуркаций. Обсуждаются
свойства основных бифуркаций. Даны различные примеры. Изложение ведется с …

This paper reports fold-flip bifurcation on a class of discrete-time neural network. Sufficient
conditions are given to demonstrate fold-flip bifurcation. By performing linear and nonlinear …

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 …