We try to connect the theory of infinite dimensional dynamical systems and nonlinear dynamical methods. The sine-Gordon equation is used to illustrate our method of discussing the dynamical behaviour of infinite dimensional systems. The results agree with those of Bishop and Flesch [SLAM J. Math. Anal. 21 (1990) 1511]
This paper develops a rigorous notion of dissipation-induced instability in infinite dimensions as a...
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with ini...
The existence of a relationship between sine-Gordon breathers and kinks (antikinks), and x independe...
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of application...
In this book the author presents the dynamical systems in infinite dimension, especially those gener...
This book provides an exhaustive introduction to the scope of main ideas and methods of infinite-dim...
This paper deals with chaotic behaviour for perturbations of infinite-dimensional autonomous Hamilto...
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution e...
In this paper, we examine some basic properties of the multiple-sine-Gordon (MSG) systems, which con...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
A spatially-discrete sine-Gordon system with some novel features is described. There is a topologica...
In this thesis, we study some representative problems in the dynamics of systems which have a non-tr...
In this thesis, we study some representative problems in the dynamics of systems which have a non-tr...
Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional...
This paper develops a rigorous notion of dissipation-induced instability in infinite dimensions as a...
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with ini...
The existence of a relationship between sine-Gordon breathers and kinks (antikinks), and x independe...
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of application...
In this book the author presents the dynamical systems in infinite dimension, especially those gener...
This book provides an exhaustive introduction to the scope of main ideas and methods of infinite-dim...
This paper deals with chaotic behaviour for perturbations of infinite-dimensional autonomous Hamilto...
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution e...
In this paper, we examine some basic properties of the multiple-sine-Gordon (MSG) systems, which con...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
A spatially-discrete sine-Gordon system with some novel features is described. There is a topologica...
In this thesis, we study some representative problems in the dynamics of systems which have a non-tr...
In this thesis, we study some representative problems in the dynamics of systems which have a non-tr...
Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional...
This paper develops a rigorous notion of dissipation-induced instability in infinite dimensions as a...
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with ini...
The existence of a relationship between sine-Gordon breathers and kinks (antikinks), and x independe...