Add to ORKGWe consider the discrete dynamical system (A,T), where A is a class of smooth real functions defined on some interval and T:A→A is an operator Tφ:=foφ, where f is a function on the real line. Iteration of smooth maps appears naturally in the study of continuous difference equations and boundary value problems such as those in Romanenko et al [2], Severino et al [3], Sharkovsky et al [4]-[5], Vinagre et al [6]. In our work we develop some techniques of symbolic dynamics for the discrete dynamical system (A,T). We analyze in detail the case in which T arises from unimodal interval maps
Let f(x) be a continuous function defined on a closed interval I, and let x0 ∈ I. Can we characteriz...
AbstractWe introduce domain theory in dynamical systems, iterated function systems (fractals), and m...
We consider the dynamical system A, T , where A is a class of differentiable functions defined on s...
Iteration of smooth maps appears naturally in the study of continuous difference equations and bound...
We consider the dynamical system (A,T), where A is a class of differentiable real functions defined ...
We consider a linear hyperbolic system with constant coe cients with nonlinear boundary conditions a...
Iterations of continuous maps of an interval to itself serve as the simplest examples of models for ...
In this paper we introduce the idea of multiple valued iteration theory. For a set X and family of f...
This thesis contains three related articles which are inserted in separate chapters. The chapters ar...
We consider the dynamical system (A,T), where A is a class of differentiable functions defined on so...
AbstractIn this paper we design and implement rigorous algorithms for computing symbolic dynamics fo...
This paper presents a general and systematic discussion of various symbolic representations of itera...
We present a deterministic discrete dynamical system, which is used to produce and classify a variet...
We consider dynamical systems defined by a particular class of differentiable functions, as fixed st...
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous ...
Let f(x) be a continuous function defined on a closed interval I, and let x0 ∈ I. Can we characteriz...
AbstractWe introduce domain theory in dynamical systems, iterated function systems (fractals), and m...
We consider the dynamical system A, T , where A is a class of differentiable functions defined on s...
Iteration of smooth maps appears naturally in the study of continuous difference equations and bound...
We consider the dynamical system (A,T), where A is a class of differentiable real functions defined ...
We consider a linear hyperbolic system with constant coe cients with nonlinear boundary conditions a...
Iterations of continuous maps of an interval to itself serve as the simplest examples of models for ...
In this paper we introduce the idea of multiple valued iteration theory. For a set X and family of f...
This thesis contains three related articles which are inserted in separate chapters. The chapters ar...
We consider the dynamical system (A,T), where A is a class of differentiable functions defined on so...
AbstractIn this paper we design and implement rigorous algorithms for computing symbolic dynamics fo...
This paper presents a general and systematic discussion of various symbolic representations of itera...
We present a deterministic discrete dynamical system, which is used to produce and classify a variet...
We consider dynamical systems defined by a particular class of differentiable functions, as fixed st...
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous ...
Let f(x) be a continuous function defined on a closed interval I, and let x0 ∈ I. Can we characteriz...
AbstractWe introduce domain theory in dynamical systems, iterated function systems (fractals), and m...
We consider the dynamical system A, T , where A is a class of differentiable functions defined on s...