Add to ORKGThe fast dynamo growth rate for a C k+1 map or flow is bounded above by topological entropy plus a 1=k correction. The proof uses techniques of random maps combined with a result of Yomdin relating curve growth to topological entropy. This upper bound implies the following anti-dynamo theorem: in C 1 systems fast dynamo action is not possible without the presence of chaos. In addition topological entropy is used to construct a lower bound for the fast dynamo growth rate in the case Rm = 1
70 pages, 7 figuresInternational audienceIn this work, we introduce the notion of entropy at infinit...
Stirring a two-dimensional viscous fluid with rods is often an effective way to mix. The topological...
In this work we accomplish several goals. First, we show how a geometric game introduced by Schmidt...
The fast dynamo growth rate for a C k map or ow is bounded above by topo logical entropy plus a k co...
We study here a method for estimating the topological entropy of a smooth dynamical system. Our meth...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
In this paper, relations between topological entropy, volume growth and the growth in topological co...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
summary:A continuous map $f$ of the interval is chaotic iff there is an increasing sequence of nonne...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
In the present work we develop an approach to the classical kinematic fast dynamo problem for flows ...
Abstract. We prove two theorems which extend known results concerning periodic orbits and topologica...
International audienceThe ABC flow was originally introduced by Arnol'd to investigate Lagrangian ch...
AbstractA proof of a localized version of the proven entropy conjecture for C∞ smooth maps is given....
A positive topological entropy is examined for impulsive differential equations via the associated P...
70 pages, 7 figuresInternational audienceIn this work, we introduce the notion of entropy at infinit...
Stirring a two-dimensional viscous fluid with rods is often an effective way to mix. The topological...
In this work we accomplish several goals. First, we show how a geometric game introduced by Schmidt...
The fast dynamo growth rate for a C k map or ow is bounded above by topo logical entropy plus a k co...
We study here a method for estimating the topological entropy of a smooth dynamical system. Our meth...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
In this paper, relations between topological entropy, volume growth and the growth in topological co...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
summary:A continuous map $f$ of the interval is chaotic iff there is an increasing sequence of nonne...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
In the present work we develop an approach to the classical kinematic fast dynamo problem for flows ...
Abstract. We prove two theorems which extend known results concerning periodic orbits and topologica...
International audienceThe ABC flow was originally introduced by Arnol'd to investigate Lagrangian ch...
AbstractA proof of a localized version of the proven entropy conjecture for C∞ smooth maps is given....
A positive topological entropy is examined for impulsive differential equations via the associated P...
70 pages, 7 figuresInternational audienceIn this work, we introduce the notion of entropy at infinit...
Stirring a two-dimensional viscous fluid with rods is often an effective way to mix. The topological...
In this work we accomplish several goals. First, we show how a geometric game introduced by Schmidt...