A SYMMETRY PRESERVING REDUCTION SCHEME FOR PERIODIC POINTS NEAR A FIXED POINT OF FAMILIES OF DIFFEOMORPHISMS WITH A COMPACT SYMMETRY GROUP

Autor:	Johan Noldus, Maria-Cristina Ciocci
Rok vydání:	2006
Předmět:	Transformation (function) Compact group Applied Mathematics Modeling and Simulation Mathematical analysis Rotational symmetry Global symmetry Symmetry group Fixed point Space (mathematics) Engineering (miscellaneous) Symmetry (physics) Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 16:2545-2557
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127406016240
Popis:	We present a generalized Lyapunov Schmidt (LS) reduction scheme for diffeomorphisms on a finite dimensional real vector space V which transform under real one-dimensional characters χ of an arbitrary compact group with linear action on V. Moreover we prove a normal form theorem, such that the normal form still has the desirable transformation properties with respect to χ.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::39f373473e8768f495d1e8312a00520c https://doi.org/10.1142/s0218127406016240 Zobrazit plný text záznamu