A number of two-dimensional time-periodic flows, for example the Kármán street wake of a
symmetrical bluff body such as a circular cylinder, possess a spatio-temporal symmetry: a …

This book contains the first systematic exposition of the global and local theory of dynamics
equivariant with respect to a (compact) Lie group. Aside from general genericity and normal …

We consider motions of the Chaplygin sleigh on a plane supposing that the nonholonomic
constraint is located periodically turn by turn at each of three legs supporting the sleigh. We …

Motivated by questions originating from the study of a class of shallow student-teacher
neural networks, methods are developed for the analysis of spurious minima in classes of …

The main goal of the article is to suggest a two-dimensional map that could play the role of a
generalized model similar to the standard Chirikov–Taylor map**, but appropriate for …

Harmonic axial motion of the inner cylinder in the Taylor–Couette system can efficiently shift
the onset of instability to larger inner cylinder rotation rates. However, once instability has set …

The bifurcation theory and numerics of periodic orbits of general dynamical systems is well
developed, and in recent years there has been rapid progress in the development of a …

Relative periodic solutions are ubiquitous in dynamical systems with continuous symmetry.
Recently, Sandstede, Scheel and Wulff derived a center bundle theorem, reducing local …

arxiv:1212.1931v1 [math.DS] 9 Dec 2012 Page 1 arxiv:1212.1931v1 [math.DS] 9 Dec 2012
Attractors and repellers near generic elliptic points of reversible maps SVGonchenko1, JSWLamb2 …

The bifurcation theory and numerics of periodic orbits of general dynamical systems is well
developed, and in recent years, there has been rapid progress in the development of a …