Discrete rotating waves are periodic solutions that have discrete spatiotemporal symmetries in addition to their purely spatial symmetries. We present a systematic approach to the study of localâ€¦ (More)

BACKGROUND
The primary aim of this randomized, controlled, blinded clinical investigation was to determine if orientation of an acellular dermal matrix (ADM) allograft, basement membrane side againstâ€¦ (More)

A map U : IR d 7 ! IR d is called a (reversing) k-symmetry of the dynamical system represented by the map L : IR d 7 ! IR d if k is the smallest positive integer for which U is a (reversing) symmetryâ€¦ (More)

A diieomorphism U : 7 ! is called a (reversing) k-symmetry of a dynamical system in represented by the diieomorphism f : 7 ! if k is the smallest positive integer for which U is a (reversing)â€¦ (More)

In this paper, we discuss some recent developments in the understanding of generic bifurcation from periodic solutions with spatiotemporal symmetries. We focus mainly on the theory for bifurcationâ€¦ (More)

In this paper we address some global dynamical features in area-preserving dynamical systems on the plane R 2 , which obstruct the presence of a time-reversal symmetry that is a reeection. We showâ€¦ (More)

In this survey we discuss current directions of research in the dynamics of nonsmooth systems, with emphasis on bifurcation theory. An introduction to the state-of-the-art (also for non-specialists)â€¦ (More)

We study the dynamics near a symmetric Hopf-zero bifurcation in a Z2(R)-reversible vector field in R, with reversing symmetry R satisfying R = I and dimFix(R) = 1. We focus on the case in which theâ€¦ (More)

Relative periodic solutions are ubiquitous in dynamical systems with continuous symmetry. Recently, Sandstede, Scheel and Wulff derived a center bundle theorem, reducing local bifurcation fromâ€¦ (More)

We generalize the concept of (reversing) symmetries of a dynamical system, i.e. we study dynamical systems that possess symmetry properties only if considered on a proper time scale. In particularâ€¦ (More)