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Volumn 63, Issue 6, 2001, Pages

Wave fronts and spatiotemporal chaos in an array of coupled Lorenz oscillators

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATORS (MECHANICAL); WAVE PROPAGATION;

EID: 0035364394     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.066206     Document Type: Article
Times cited : (13)

References (35)
  • 22
    • 85035286313 scopus 로고    scopus 로고
    • H.-K. Park and H.-T. Moon (unpublished)
    • H.-K. Park and H.-T. Moon (unpublished).
  • 23
    • 85035283583 scopus 로고    scopus 로고
    • Calculations were performed for the values of parameters (Formula presented) and b used in Eq. (3), and (Formula presented)
    • Calculations were performed for the values of parameters (Formula presented) and b used in Eq. (3), and (Formula presented).
  • 25
    • 85035297901 scopus 로고    scopus 로고
    • For values of r smaller than, but very close to, (Formula presented) the chaotic attractor coexists with the fixed points (Formula presented) but this is of minor importance here
    • For values of r smaller than, but very close to, (Formula presented) the chaotic attractor coexists with the fixed points (Formula presented) but this is of minor importance here.
  • 27
    • 85035271512 scopus 로고    scopus 로고
    • We have measured such distances, observing that the distances between neighboring orbits really fall to zero for (Formula presented)
    • We have measured such distances, observing that the distances between neighboring orbits really fall to zero for (Formula presented)
  • 28
  • 31
    • 85035294421 scopus 로고    scopus 로고
    • A stricter way to define (Formula presented) and A would be to pass to the two-dimensional manifold, where the subcrirical Hopf bifurcation takes place. In this two-dimensional manifold a Ginzburg-Landau (GL) equation should be found in such a way that (Formula presented) and A are strictly defined. Nonetheless, our definitions are one to one related with those whose definition came from the GL equation. Furthermore, it would be intriguing how to cast a definition valid for (Formula presented) and (Formula presented) Hence the important features of the dynamics will be readily provided by our operational definitions
    • A stricter way to define (Formula presented) and A would be to pass to the two-dimensional manifold, where the subcrirical Hopf bifurcation takes place. In this two-dimensional manifold a Ginzburg-Landau (GL) equation should be found in such a way that (Formula presented) and A are strictly defined. Nonetheless, our definitions are one to one related with those whose definition came from the GL equation. Furthermore, it would be intriguing how to cast a definition valid for (Formula presented) and (Formula presented) Hence the important features of the dynamics will be readily provided by our operational definitions.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.