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Topological conjugation to uniformly piecewise linear transformations
-
Christof Kopf
Veröffentlicht/Copyright:
11. Oktober 2013
Abstract.
For a one-dimensional discrete time system S on the closed unit
interval I we introduce an operator QS, which transforms a
distribution function G into a distribution function 
under the backward operation of S. We study the operator QS for
piecewise linear transformations S and give conditions under which the iterations 
of the distribution function G0 converge
to a QS-invariant distribution function G, which conjugates S
and the corresponding piecewise linear transformation T of constant
slope.
Received: 2011-10-12
Revised: 2012-10-04
Accepted: 2012-11-09
Published Online: 2013-10-11
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
Artikel in diesem Heft
- Masthead
- A characterization of pseudo-Einstein real hypersurfaces of a complex space form
- An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
- Topological conjugation to uniformly piecewise linear transformations
- Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
- An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain
- Nondifferentiable (Φ,ρ)-type I and generalized (Φ,ρ)-type I functions in nonsmooth vector optimization
- An optimal double inequality between logarithmic and generalized logarithmic means
- A further generalization of the 𝒯𝒜d-density topology
- Erratum Bloch varieties of higher-dimensional, periodic Schrödinger operators [J. Appl. Anal. 15 (2009), 33–46]
