Geometric phases in discrete dynamical systems
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- 作者：Julyan H.E. Cartwrighta ; b ; julyan.cartwright@csic.es" class="auth_mail" title="E-mail the corresponding author ; Nicolas Piroc ; nicolas.piro@epfl.ch" class="auth_mail" title="E-mail the corresponding author ; Oreste Pirod ; piro@imedea.uib-csic.es" class="auth_mail" title="E-mail the corresponding author ; Idan Tuvale ; ituval@imedea.uib-csic.es" class="auth_mail" title="E-mail the corresponding author
- 关键词：Geometric phase ; Circle map ; Standard map ; Chaos ; Superdiffusion
- 刊名：Physics Letters A
- 出版年：2016
- 出版时间：14 October 2016
- 年：2016
- 卷：380
- 期：42
- 页码：3485-3489
- 全文大小：1113 K
文摘
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We extend the concept of geometric phase to maps.
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For the rotated sine circle map, we demonstrate an analytical relationship between the geometric phase and the rotation number.
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For the rotated standard map, we explore the role of the geometric phase at the onset of chaos.
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We show that the geometric phase is related to the diffusive behaviour of the dynamical variables and the Lyapunov exponent.