Non-transitive maps in phase synchronization

Physica D: Nonlinear Phenomena

Volumn 212, Issue 3-4, 2005, Pages 216-232

  Baptista, M S ^a,b   Pereira, T ^a,b   Sartorelli, J C ^b   Caldas, I L ^b   Kurths, J ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Chaotic phase synchronization; Ergodic Theory; Temporal mappings

Indexed keywords

CHAOS THEORY; OSCILLATORS (ELECTRONIC); REAL TIME SYSTEMS; VECTORS;

CHAOTIC PHASE SYNCHRONIZATION; ERGODIC THEORY; TEMPORAL MAPPINGS;

SYNCHRONIZATION;

EID: 28244433132     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.10.003     Document Type: Article

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24. r is considered to be rational. However, as shown in Ref. [23], PS, as defined by the boundedness of the phase difference, was found in two chaotic systems for a finite but very large time interval as r approaches an irrational. Therefore, although in this work we consider r to be rational, we should make the remark that, for the special situation such as that presented in Ref. [23], Eq. (6) can only be satisfied for a finite but large time if r is considered to be irrational
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