Kinematic expansive suspensions of irrational rotations on the circle
Shigenori Matsumoto
TL;DR
This paper demonstrates that certain irrational rotations on the circle can be extended to suspensions exhibiting kinematic expansiveness, revealing new dynamical behaviors in such systems.
Contribution
It introduces the existence of kinematic expansive suspensions for some irrational circle rotations, a novel dynamical property not previously established.
Findings
Existence of kinematic expansive suspensions for specific irrational rotations
New insights into the dynamical complexity of circle rotations
Potential applications in understanding expansive systems
Abstract
We shall show that the rotation of some irrational rotation number on the circle admits suspensions which are kinematic expansive.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Mathematics and Applications · Algebraic and Geometric Analysis