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

A structure of the oscillation frequencies parameter space for three and four dissipatively
coupled van der Pol oscillators is discussed. Situations of different codimension relating to …

It is well known for experts that resonances in nonlinear systems lead to new invariant
objects that lead to new behaviors. The goal of this paper is to study the invariant sets …

The notion of organising centre of a bifurcation diagram is used as an ordering principle in
the analysis of nonlinear problems in pure and applied dynamical systems theory. When …

This paper investigates a family of nonlinear oscillators at Hopf bifurcation, driven by a small
quasi-periodic forcing. In particular, we are interested in the situation that at bifurcation and …

For a family of continuous-time dynamical systems with two angle variables, a resonance is
a set of parameter values such that some integer combination of the (lifted) angles remains …

Lighting Arnold flames: resonance in doubly forced periodic oscillators Page 1 Nonlinearity
Lighting Arnold flames: resonance in doubly forced periodic oscillators To cite this article …

When several oscillators are coupled together and the parameters of their coupling are
varied, the oscillators pass through so-called phase-locked regimes. In physical terms this …

Corrigendum: Simplest bifurcation diagrams for monotone families of vector fields on a torus
(2018 Nonlinearity 31 2928) Page 1 Nonlinearity CORRIGENDUM • OPEN ACCESS …

In part 1, we prove that the bifurcation diagram for a monotone two-parameter family of
vector fields on a torus has to be at least as complicated as the conjectured simplest one …