Abstract. This article presents an interaction between functional homomor-phisms, dynamical systems and differential equations. The exponential func-tions play pivotal role in this interaction. 1
The works on linear dynamics in the last two decades show that many, even quite natural, linear dyna...
Most dynamical systems arise from differential equations that can be represented as an abstract evol...
Functional dynamics, introduced in a previous paper [Physica D 138 (2000) 225--250] is analyzed, foc...
Suppose an autonomous functional differential equation has an orbit r which is homochnic to a hyperb...
AbstractSuppose an autonomous functional differential equation has an orbit Γ which is homoclinic to...
In this paper, we introduce and analyze a family of exponential polynomial discrete dynamical system...
Functional differential equations are omnipresent in mathematics and related sciences, varying from ...
In this series of lectures I try to illustrate systematically what I call the ``functional analyti...
This book is devoted to the qualitative theory of functional dynamic equations on time scales, provi...
Algebraic dynamics is the study of dynamical systems defined by rational maps on algebraic varieties...
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general loca...
A global framework for treating nonlinear differential dynamical systems is presented. It rests on t...
The favourable reception of the first edition and the encouragement received from many readers have ...
A framework to study evolution of rules of dynamical systems is proposed with a shift-like dynamics ...
The exponential function, including its real-and complex-values forms, constitutes one of the most i...
The works on linear dynamics in the last two decades show that many, even quite natural, linear dyna...
Most dynamical systems arise from differential equations that can be represented as an abstract evol...
Functional dynamics, introduced in a previous paper [Physica D 138 (2000) 225--250] is analyzed, foc...
Suppose an autonomous functional differential equation has an orbit r which is homochnic to a hyperb...
AbstractSuppose an autonomous functional differential equation has an orbit Γ which is homoclinic to...
In this paper, we introduce and analyze a family of exponential polynomial discrete dynamical system...
Functional differential equations are omnipresent in mathematics and related sciences, varying from ...
In this series of lectures I try to illustrate systematically what I call the ``functional analyti...
This book is devoted to the qualitative theory of functional dynamic equations on time scales, provi...
Algebraic dynamics is the study of dynamical systems defined by rational maps on algebraic varieties...
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general loca...
A global framework for treating nonlinear differential dynamical systems is presented. It rests on t...
The favourable reception of the first edition and the encouragement received from many readers have ...
A framework to study evolution of rules of dynamical systems is proposed with a shift-like dynamics ...
The exponential function, including its real-and complex-values forms, constitutes one of the most i...
The works on linear dynamics in the last two decades show that many, even quite natural, linear dyna...
Most dynamical systems arise from differential equations that can be represented as an abstract evol...
Functional dynamics, introduced in a previous paper [Physica D 138 (2000) 225--250] is analyzed, foc...