Continuum Theory & Dynamical Systems
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advanced continuum theory applications
Category=PBM
Category=PBP
Category=PBW
chaotic attractors
continua
end
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fixed point theorems
homeomorphism theory
hyperspace analysis
indecomposable
inverse
limit
metric
number
prime
rotation
semigroup contractions
space
topological dynamics
Product details
- ISBN 9780824790721
- Weight: 589g
- Dimensions: 178 x 254mm
- Publication Date: 05 Aug 1993
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.;Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum concerning the minimum number of fixed points for an area preserving homeomorphism of the two disc; constructs a closed unit disc that admits many inequivalent homeomorphisms that are Denjoy on the boundary and distinct irrational rotations on the interior; gives a geometric description of a horseshoe-type mapping of a plane disc into itself whose attracting set is not chainable; and considers semigroups generated by maps topologically conjugate to contractions.;Written by experts who provide a cross-disciplinary perspective, this volume is intended for applied mathematicians, topologists, geomesters, physicists and graduate-level students in these disciplines.
