Add to ORKGKAM theorem of reversible system is used to provide a sufficient condition which guarantees the stability of a parabolic fixed point of reversible mappings. The main idea is to discuss when the parabolic fixed point is surrounded by closed invariant curves and thus exhibits stable behaviour.MathematicsSCI(E)中国科学引文数据库(CSCD)2ARTICLE2147-1521
We consider perturbations of integrable area preserving non twist maps of the annulus those are map...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
AbstractA one-parameter family of area-preserving piecewise linear maps is considered. Behavior of t...
Theorems characterizing stable parabolic points are proved. Essentially, stability is equivalent to ...
One-parameter families of area-preserving twist maps of the form F~(x, y)= (x + y + ef(x), y + ~f(x)...
AbstractThe paper consists of two sections. In Section 1, we give a short review of KAM theory with ...
A general KAM-theory for reversible systems is given. The cases of both maximal and lower-dimensiona...
We present a complete theory for the stability of non-hyperbolic fixed points of one-dimensional con...
In this paper, using the KAM theorem of reversible systems, we obtain the boundedness of solutions, ...
This monograph grew out of the authors' efforts to provide a natural geometric description for the c...
This work aims to present tool of this approach is the so-called parameterization method, that produ...
summary:The stabilization of solutions to an abstract differential equation is investigated. The ini...
Recent work on reversible Neimark-Sacker bifurcation in 4D maps is summarized. Linear stability anal...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev ...
We consider perturbations of integrable area preserving non twist maps of the annulus those are map...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...
AbstractA one-parameter family of area-preserving piecewise linear maps is considered. Behavior of t...
Theorems characterizing stable parabolic points are proved. Essentially, stability is equivalent to ...
One-parameter families of area-preserving twist maps of the form F~(x, y)= (x + y + ef(x), y + ~f(x)...
AbstractThe paper consists of two sections. In Section 1, we give a short review of KAM theory with ...
A general KAM-theory for reversible systems is given. The cases of both maximal and lower-dimensiona...
We present a complete theory for the stability of non-hyperbolic fixed points of one-dimensional con...
In this paper, using the KAM theorem of reversible systems, we obtain the boundedness of solutions, ...
This monograph grew out of the authors' efforts to provide a natural geometric description for the c...
This work aims to present tool of this approach is the so-called parameterization method, that produ...
summary:The stabilization of solutions to an abstract differential equation is investigated. The ini...
Recent work on reversible Neimark-Sacker bifurcation in 4D maps is summarized. Linear stability anal...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev ...
We consider perturbations of integrable area preserving non twist maps of the annulus those are map...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We discuss some aspects of conservative and dissipative KAM theorems, with particular reference to a...