Indicators of reconnection processes and transition to global chaos in nontwist maps

Susumu Shinohara, Yoji Aizawa

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Reconnection processes of twin-chains are systematically studied in the quadratic twist map. By using the reversibility and symmetry of the mapping, the location of the indicator points is theoretically determined in the phase space. The indicator points enable us to obtain useful information about the reconnection processes and the transition to global chaos. We succeed in deriving the general conditions for the reconnection thresholds. In addition, a new type of reconnection process which generates shearless curves is studied.

Original languageEnglish
Pages (from-to)219-233
Number of pages15
JournalProgress of Theoretical Physics
Volume100
Issue number2
Publication statusPublished - 1998

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chaos
thresholds
symmetry
curves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Indicators of reconnection processes and transition to global chaos in nontwist maps. / Shinohara, Susumu; Aizawa, Yoji.

In: Progress of Theoretical Physics, Vol. 100, No. 2, 1998, p. 219-233.

Research output: Contribution to journalArticle

Shinohara, Susumu ; Aizawa, Yoji. / Indicators of reconnection processes and transition to global chaos in nontwist maps. In: Progress of Theoretical Physics. 1998 ; Vol. 100, No. 2. pp. 219-233.
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