Local Analysis of Formal Stability and Existence of Fixed Points in 4d Symplectic Mappings
نویسنده
چکیده
OF FIXED POINTS IN 4D SYMPLECTIC MAPPINGS E. Todesco INFN, Sezione di Bologna, Via Irnerio 46, 40126, Bologna, Italy. Abstract Symplectic mappings in a four-dimensional phase space are analysed; in the neighbourhood of an elliptic xed point whose eigenvalues are close to satisfy a double resonance condition, the perturbative tools of resonant normal forms are outlined. The analysis of the interpolating Hamiltonian of the normal form allows one to determine the existence and the stability of the xed points which are due to the double resonance: only some combinations of stabilities are allowed. Due to the asymptotic character of the series, the results are formal, but supported by numerical computations.
منابع مشابه
EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS
In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...
متن کاملFixed Fuzzy Points of Fuzzy Mappings in Hausdorff Fuzzy Metric Spaces with Application
Recently, Phiangsungnoen et al. [J. Inequal. Appl. 2014:201 (2014)] studied fuzzy mappings in the framework of Hausdorff fuzzy metric spaces.Following this direction of research, we establish the existence of fixed fuzzy points of fuzzy mappings. An example is given to support the result proved herein; we also present a coincidence and common fuzzy point result. Finally, as an application of ou...
متن کاملSome common fixed point theorems for Gregus type mappings
In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the w...
متن کاملStrict fixed points of '{C}iri'{c}-generalized weak quasicontractive multi-valued mappings of integral type
Many authors such as Amini-Harandi, Rezapour et al., Kadelburg et al., have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}, 1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version. In this paper, we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...
متن کاملCoincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007