Browsing College of Engineering, Mathematics and Physical Sciences by Author "Fu, XinChu"
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Invariant sets for discontinuous parabolic areapreserving torus maps
Ashwin, Peter; Fu, XinChu; Nishikawa, Takashi; Zyczkowski, Karol (Institute of Physics, 2000)We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each component. We show that within this two parameter ... 
On the geometry of orientationpreserving planar piecewise isometries
Ashwin, Peter; Fu, XinChu (Springer, 2002)Planar piecewise isometries (PWIs) are iterated mappings of subsets of the plane that preserve length (and hence angle and area) on each of a number of disjoint regions. They arise naturally in several applications and are ... 
Properties of the invariant disk packing in a model bandpass sigmadelta modulator
Ashwin, Peter; Fu, XinChu; Deane, Jonathan (13 (3), pp. 631641, 2003)In this paper we discuss the packing properties of invariant disks defined by periodic behavior of a model for a bandpass Σ–Δ modulator. The periodically coded regions form a packing of the forward invariant phase space ... 
Riddling and invariance for discontinuous maps preserving Lebesgue measure
Ashwin, Peter; Fu, XinChu; Terry, John R. (Institute of Physics, 2002)In this paper we use the mixture of topological and measuretheoretic dynamical approaches to consider riddling of invariant sets for some discontinuous maps of compact regions of the plane that preserve twodimensional ... 
Symbolic analysis for some planar piecewise linear maps
Fu, XinChu; Ashwin, Peter (American Institute of Mathematical Sciences, 2003)In this paper a class of linear maps on the 2torus and some planar piecewise isometries are discussed. For these discontinuous maps, by introducing codings underlying the map operations, symbolic descriptions of the ... 
Symbolic representation of iterated maps
Fu, XinChu; Lu, Weiping; Ashwin, Peter; Duan, Jinqiao (Schauder University Centre for Nonlinear Studies, 2001)This paper presents a general and systematic discussion of various symbolic representations of iterated maps through subshifts. We give a unified model for all continuous maps on a metric space, by representing a map ... 
Tangencies in invariant disc packings for certain planar piecewise isometries are rare
Ashwin, Peter; Fu, XinChu (Taylor & Francis, 2001)For planar piecewise isometries (PWIs) (twodimensional maps that restrict to isometries on some partition) there is a natural coding given by the itinerary of a trajectory between the pieces (atoms) of the partition on ...