We generalize the results of Chang-Li, Kim-Oh and Chang-Li on moduli $p$-fields to setting (quasi-)maps complete intersections in arbitrary smooth Deligne-Mumford stacks with projective coarse moduli. In particular, we show that virtual cycle stable a intersection can be recovered by cosection localized ambient space.

Let S(1) (0), S(1) (1),.,S(1) (n-1) be n circles. A rotation in n circles is a map f: union or logical sum (i=0) (n-1)S(1) (i)--> union or logical sum (i=0) (n-1)S(1) (i) which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps.

Dr. Y. Qiu, G. Rong, J. Yang, G. Li, S. Ma, X. Wang, Z. Pan, Y. Hou, Dr. M. Liu, Dr. F. Ye, Dr. W. Li, Prof. Y. Zhang i -Lab, Suzhou Institute of Nano-Tech and Nano-Bionics Chinese Academy of Sciences Suzhou, Jiangsu 215123 , China E-mail: [email protected] Dr. Y. Qiu, Dr. Z. W. Seh, Prof. X. Tao, Dr. H. Yao, Dr. N. Liu, Dr. R. Zhang, Dr. G. Zhou, Prof. Y. Cui Department of Materials Sci...

A cycle C in a graph is called stable if there exist no other cycle D in the same graph such that V (C) ⊆ V (D). In this paper we study stable cycles in snarks and based on our findings we are able to show that if a cubic graph G has a cycle of length at least |V (G)| − 9 then it has a cycle double cover. We also give a construction for an infinite snark family with stable cycles of constant le...

The replicator-mutator equations from evolutionary dynamics serve as a model for the evolution of language, behavioral dynamics in social networks, and decision-making dynamics in networked multi-agent systems. Analysis of the stable equilibria of these dynamics has been a focus in the literature, where symmetry in fitness functions is typically assumed. We explore asymmetry in fitness and show...

Abstract   The simple passive dynamic walker can walk down a shallow downhill slope with no external control or energy input. Nevertheless, the period-one gait stability is only possible over a very narrow range of slopes. Since the passive gaits are extremely sensitive to slope angles, it is important to use a control strategy in order to achieve a wide range of stable walking. The computed to...