A precise meaning is given to the notion of continuous iteration of a mapping. Usual discrete iterations are extended into a dynamical flow which is a homotopy of them all. The continuous iterate reveals that a dynamic map is formed by independent component modes evolving without interference with each other. An application to turbulent flow suggests that the velocity field assumes nonseparable values. © 1998 American Institute of Physics
A discrete dynamical system on a metric space M is a sequence (fn) of iterations of a function f: M!...
AbstractThe problem of determining when a given discrete flow on a topological space is embeddable i...
The possibility that a discrete process can be closely approximated by a continuous one, with the la...
A precise meaning is given to the notion of continuous iteration of a mapping. Usual discrete iterat...
Abstract. Iteration exists extensively in the nature. Iteration of a homeo-morphism generates a dyna...
Iterations of continuous maps of an interval to itself serve as the simplest examples of models for ...
Iteration of smooth maps appears naturally in the study of continuous difference equations and bound...
This bookis anelementary introduction to the theory of discrete dynamical systems, alsostressing the...
this paper, dynamical systems are mappings or systems of ordinary differential equations defined on ...
summary:We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charle...
Abstract This article is devoted to the dynamical analysis of an explicit continuous iteration algor...
It’s an introduction to a big field in applied math: dynamical sys- tems, a name given to a range of...
Considering iterative sequences that arise when the approximate solution to a numerical problem is u...
This paper deals with the relations between the solution of dynamical systems whose equations, eithe...
We will consider some examples of discrete dynamical systems: repeating a simple procedure over and ...
A discrete dynamical system on a metric space M is a sequence (fn) of iterations of a function f: M!...
AbstractThe problem of determining when a given discrete flow on a topological space is embeddable i...
The possibility that a discrete process can be closely approximated by a continuous one, with the la...
A precise meaning is given to the notion of continuous iteration of a mapping. Usual discrete iterat...
Abstract. Iteration exists extensively in the nature. Iteration of a homeo-morphism generates a dyna...
Iterations of continuous maps of an interval to itself serve as the simplest examples of models for ...
Iteration of smooth maps appears naturally in the study of continuous difference equations and bound...
This bookis anelementary introduction to the theory of discrete dynamical systems, alsostressing the...
this paper, dynamical systems are mappings or systems of ordinary differential equations defined on ...
summary:We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charle...
Abstract This article is devoted to the dynamical analysis of an explicit continuous iteration algor...
It’s an introduction to a big field in applied math: dynamical sys- tems, a name given to a range of...
Considering iterative sequences that arise when the approximate solution to a numerical problem is u...
This paper deals with the relations between the solution of dynamical systems whose equations, eithe...
We will consider some examples of discrete dynamical systems: repeating a simple procedure over and ...
A discrete dynamical system on a metric space M is a sequence (fn) of iterations of a function f: M!...
AbstractThe problem of determining when a given discrete flow on a topological space is embeddable i...
The possibility that a discrete process can be closely approximated by a continuous one, with the la...
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