This survey is devoted to smooth dynamical systems, which are in our context diffeomorphisms and smooth flows on compact manifolds. We call a flow or a diffeomorphism hyperbolic if all of its …

Entropy in Dynamical Systems Lai-Sang Young1 In this article, the word entropy is used exclusively to refer to the entropy of a dynamical system, i.e. a map or a flow. It measures the rate of increase in …

Nov 18, 2021 · The inherently temporal nature of BD has inspired its conceptualization using dynamical systems theory, which is a mathematical framework for understanding systems that evolve over time.

Global quenches of quantum many-body models can give rise to periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP). The …

Abstract Dynamical systems on networks are inherently high-dimensional unless the number of nodes is extremely small. Dimension reduction methods for dynamical systems on networks aim to find a …

Aug 29, 2008 · The arithmetic of dynamical systems, by Joseph H. Silverman, Graduate Texts in Mathematics, 241, Springer, New York, 2007, x+511 pp., US$49.95, hardcover, ISBN 13: 0-978-387 …

Complex dynamical systems Complex dynamical systems exhibit three key characteristics (Gallagher and Appenzeller, 1999). First, they consist of a number of interacting components or agents.