On a System of Schröder Equations on the Circle-Reference-Cited by-同舟云学术

On a System of Schröder Equations on the Circle

Published:2003-07 Issue:07 Volume:13 Page:1883-1888
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Ciepliński K.¹,Zdun M. C.¹

Affiliation:

1. Institute of Mathematics, Pedagogical University, Podchorażych 2, 30-084 Kraków, Poland

Abstract

Let M be an arbitrary nonempty set and [Formula: see text] for t ∈ M be continuous mappings of the unit circle [Formula: see text]. The aim of this paper is to investigate the existence of solutions (Φ, c), where [Formula: see text] is a continuous function and [Formula: see text], of the following system of Schröder equations [Formula: see text] The particular case when card M = 1 is also considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127403007709

Reference12 articles.

1. Combinatorial Dynamics and Entropy in Dimension One

2. On the structure of some flows on the unit circle

3. Dynamics in One Dimension

4. On Semi-Conjugacy Equation for Homeomorphisms of the Circle

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