Conjugacy of Maps

G. c. Layek ()
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G. c. Layek: The University of Burdwan, Department of Mathematics

Chapter hapter 11 in An Introduction to Dynamical Systems and Chaos, 2015, pp 481-495 from Springer

Abstract: Abstract The notion of topological conjugacy is very important in connecting the dynamics of different maps. It relates the properties among mapsMaps through some conjugacy. In other way, conjugacy is a change of variables that transforms one map into another. The variable changes from one system to another, that is, transition mappings are invertible and continuous, but not necessarily affine (a combination of linear transformation and translation). Two maps are said to be conjugate if they are equivalent to each other and their dynamics are similar. Conjugacy is an equivalence relation among maps. In conjugacy relation, the transformation should be a homeomorphism, so that some topological structures are preserved. Naturally, it is a useful and also a wise trick to find conjugacy between a map and an easier map.

Keywords: Topological Conjugacy; mapsMaps; Conjugal Relations; Homeomorphic Map; dynamicsDynamics (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-81-322-2556-0_11

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