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Lyapunov exponents and dimensions determined from experimental time series
582
Nuclear Physics B (Prec. Suppl.) 2 (1987) 582 North-Holland, Amsterdam
L Y A P U N O V E X P O N E N T S A N D DIMENSIONS D E T E R M I N E D F R O M E X P E R I M E N T A L TIME SERIES
R. Stoop and P. F. Meier Physics Institute, University of Zuerich, CH-8001 Zuerich, Switzerland
Embedding techniques are a useful tool for obtaining a quantitative measure of the chaotic behavior of both theoretical and experimental systems. A code has been developed to calculate the Lyapunov exponents f r o m experimental t i m e series and has been applied to experiments on parallel pumping of antiferromagnets and on a nuclear spin-flip laser.
The results are discussed and compared to the
experimental observations at various stages along the way to chaos. In addition to the Lyapunov dimension, other f r a c t a l dimensions are calculated. This allows an improved interpretation of the non-linear behavior of experimental systems in t e r m s of Lyapunov exponents.
0920-5632/87/$03.50 © Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division)
Nuclear Physics B (Prec. Suppl.) 2 (1987) 582 North-Holland, Amsterdam
L Y A P U N O V E X P O N E N T S A N D DIMENSIONS D E T E R M I N E D F R O M E X P E R I M E N T A L TIME SERIES
R. Stoop and P. F. Meier Physics Institute, University of Zuerich, CH-8001 Zuerich, Switzerland
Embedding techniques are a useful tool for obtaining a quantitative measure of the chaotic behavior of both theoretical and experimental systems. A code has been developed to calculate the Lyapunov exponents f r o m experimental t i m e series and has been applied to experiments on parallel pumping of antiferromagnets and on a nuclear spin-flip laser.
The results are discussed and compared to the
experimental observations at various stages along the way to chaos. In addition to the Lyapunov dimension, other f r a c t a l dimensions are calculated. This allows an improved interpretation of the non-linear behavior of experimental systems in t e r m s of Lyapunov exponents.
0920-5632/87/$03.50 © Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division)