Add to ORKGThe fast dynamo growth rate for a C k map or ow is bounded above by topo logical entropy plus a 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 antidynamo theorem in C 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 R
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
International audienceThe ABC flow was originally introduced by Arnol'd to investigate Lagrangian ch...
The topological entropy plays a key role in linear dynamical systems, allowing one to establish the ...
The fast dynamo growth rate for a C k+1 map or flow is bounded above by topological entropy plus a...
We study here a method for estimating the topological entropy of a smooth dynamical system. Our meth...
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...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
Abstract. We prove two theorems which extend known results concerning periodic orbits and topologica...
AbstractA proof of a localized version of the proven entropy conjecture for C∞ smooth maps is given....
We describe an automated method for computing rigorous lower bounds for topological entropy which wa...
In the present work we develop an approach to the classical kinematic fast dynamo problem for flows ...
The first portion of this dissertation concerns orders of accumulation of entropy. For a continuous ...
In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number x that ca...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
International audienceThe ABC flow was originally introduced by Arnol'd to investigate Lagrangian ch...
The topological entropy plays a key role in linear dynamical systems, allowing one to establish the ...
The fast dynamo growth rate for a C k+1 map or flow is bounded above by topological entropy plus a...
We study here a method for estimating the topological entropy of a smooth dynamical system. Our meth...
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...
We present a simple theory on topological entropy of the continuous maps defined on a compact metric...
Abstract. We prove two theorems which extend known results concerning periodic orbits and topologica...
AbstractA proof of a localized version of the proven entropy conjecture for C∞ smooth maps is given....
We describe an automated method for computing rigorous lower bounds for topological entropy which wa...
In the present work we develop an approach to the classical kinematic fast dynamo problem for flows ...
The first portion of this dissertation concerns orders of accumulation of entropy. For a continuous ...
In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number x that ca...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
International audienceThe ABC flow was originally introduced by Arnol'd to investigate Lagrangian ch...
The topological entropy plays a key role in linear dynamical systems, allowing one to establish the ...