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STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS

Part of: Smooth dynamical systems: general theory Real functions Topological dynamics

Published online by Cambridge University Press:  26 April 2017

RYSZARD J. PAWLAK Open the ORCID record for RYSZARD J. PAWLAK [Opens in a new window]  and
ANNA LORANTY Open the ORCID record for ANNA LORANTY [Opens in a new window]
RYSZARD J. PAWLAK
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238 Łódź, Poland email [email protected]
ANNA LORANTY*
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238 Łódź, Poland email [email protected]
*
✉[email protected]
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Abstract

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We consider stable and almost stable points of autonomous and nonautonomous discrete dynamical systems defined on the closed unit interval. Our considerations are associated with chaos theory by adding an additional assumption that an entropy of a function at a given point is infinite.

Keywords

continuityDarboux functionautonomous (nonautonomous) discrete dynamical system(almost) stable pointodd point

MSC classification

Primary: 26A18: Iteration
Secondary: 37B55: Nonautonomous dynamical systems 37B25: Lyapunov functions and stability; attractors, repellers 37C35: Orbit growth
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 2 , October 2017 , pp. 245 - 255
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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