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CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
Effectivity of Dynatomic cycles for morphisms of projective varieties using deformation theory
Dynatomic cycles projective varieties deformation theory
2010/11/24
Given an endomorphism of a projective variety, by intersecting the graph and the diagonal varieties we can determine the set of periodic points. In an effort to determine the periodic points of a giv...
Integrate and Fire Neural Networks, Piecewise Contractive Maps and Limit Cycles
Neural Networks Maps Limit Cycles
2010/11/11
We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if the interactions are...
Linked Partitions and Linked Cycles
noncrossing partition Schroder path linked partition linked cycle increasing trees generalized k-Stirling number
2014/6/3
The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [n+1] is equal to the ...
Cycles Containing a Given Arc in Regular Multipartite Tournaments
multitepartite tournaments cycle
2007/12/11
In this paper we prove that if T is a regular n-partite tournament with n≥6, then each arc of T lies on a k-cycle for k=4,5,...,n. Our result generalizes theorems due to Alspach[1] and Guo~[3] respect...
Number and Location of Limit Cycles in a Class of Perturbed Polynomial Systems
polynomial system limit cycles stability bifurcation
2007/12/11
In this paper, we investigate the number, location andstability of limit cycles in a class of perturbed polynomialsystems with $(2n+1)$ or $(2n+2)$-degree by constructing detectionfunction and using q...
BIFURCATION OF LIMIT CYCLES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (Ⅲ)l = n = 0
Quadratic system limit cycle
2007/12/10
In this paper we will prove that limit cycles for the quadratic differential system (Ⅲ)l=n=o in Chinese classification are concentratedly distributed, and that the maximum number of limit cycles aroun...