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Continuum Theory & Dynamical Systems (Paperback, illustrated edition)
Loot Price: R7,282
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Continuum Theory & Dynamical Systems (Paperback, illustrated edition)
Series: Lecture Notes in Pure and Applied Mathematics
Expected to ship within 12 - 17 working days
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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.
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