Bifurcation behavior of the generalized Lorenz equations at large rotation numbers

Journal of Mathematical Physics

Volumn 38, Issue 10, 1997, Pages 5225-5239

  Zhou, Cangtao ^a   Lai, C H ^a   Yu, M Y ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031520578     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531938     Document Type: Article

References (19)

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12. Spurious solutions are easily produced when cycles of high and infinite period occur (Ref. 18). For the Lorenz and the LS systems, we find that numerical instability may occur at large Prandtl numbers when the stepsize of the integration is insufficiently small. In the current study all integrations were carried out by two different routines in order to reasonably ensure the absence of numerical artifacts.
13. Here we refer to geometric or topological interactions or relationships, not those of cause and effect arising from physical interactions.
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