publication . Article . Other literature type . 2018

The Existence and Structure of Rotational Systems in the Circle

Ramanathan, Jayakumar;
Open Access
  • Published: 03 Jun 2018 Journal: Abstract and Applied Analysis, volume 2,018, pages 1-11 (issn: 1085-3375, eissn: 1687-0409, Copyright policy)
  • Publisher: Hindawi Limited
Abstract
<jats:p>By a rotational system, we mean a closed subset <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:math> of the circle, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi mathvariant="double-struck">T</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math>, together with a continuous transformation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>f</mml:mi><mml:mo>:</mml:mo><mml:mi>X</mml:mi><mml:mo>→</mml:mo><mml:mi>X</mml:mi></mml:math> with the requirements ...
Subjects
free text keywords: Applied Mathematics, Analysis, Monotonic function, Structured program theorem, Irrational number, Mathematics, Integer, Mathematical analysis, Dynamical system, Invariant (mathematics), Unit circle, Covering space, QA1-939, Article Subject
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publication . Article . Other literature type . 2018

The Existence and Structure of Rotational Systems in the Circle

Ramanathan, Jayakumar;