منابع مشابه
Iterated Monodromy for a Two-Dimensional Map
We compute the iterated monodromy group for a postcritically finite endomorphism F of P. The postcritical set is the union of six lines, and the wreath recursion for the group closely reflects the dynamics of F on these lines.
متن کاملMonodromy Map for Tropical Dolbeault Cohomology
We define monodromy maps for tropical Dolbeault cohomology of algebraic varieties over non-Archimedean fields. We propose a conjecture of Hodge isomorphisms via monodromy maps, and provide some evidence.
متن کاملNonlocal Quadratic Poisson Algebras, Monodromy Map, and Bogoyavlensky Lattices
A new Lax representation for the Bogoyavlensky lattice is found, its r–matrix interpretation is elaborated. The r–matrix structure turns out to be related to a highly nonlocal quadratic Poisson structure on a direct sum of asso-ciative algebras. The theory of such nonlocal structures is developed, the Poisson property of the monodromy map is worked out in the most general situation. Some proble...
متن کاملOn Monodromy Matrix Computation
We present a study on the critical time step for the numerical integration based on the Runge-Kutta method of the monodromy matrix (the fundamental matrix solution) associated with a set of n rst-order linear ordinary diierential equations with periodic coeecients. By applying the Liapunov-Schmidt method, for any dimension n and systems which are perturbations of autonomous systems, we give an ...
متن کاملIntegral Restrictions on the Monodromy
Given a complex analytic function with a one-dimensional critical locus at the origin, we examine the monodromy action on the integral cohomology of the Milnor fiber. We relate this monodromy to that of a generic hyperplane slice through the origin, and to that of a generic hyperplane slice near the origin. We thereby obtain number-theoretic restrictions on the monodromy and on the cohomology o...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1993
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171293000870