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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Nonuniform Chaotic Dynamics and Effects of Noise in Biochemical Systems

H. Herzel , W. Ebeling and Th. Schulmeister

Biochemical models capable of sustained oscillations and deterministic chaos are investigated. Chaos is characterized by exponential separation of near-by trajectories in the long-term average. However, we observed rather large deviations from purely exponential separation termed "nonuniformity". A quantitative description and consequences of nonuniformity are discussed.

Furthermore, the influence of short-correlated noise is treated using next-amplitude maps and Lyapunov exponents. Drastic amplification of fluctuations in non-chaotic systems and relative robustness of chaos were found.

Received: 1986-8-8
Published Online: 2014-6-2
Published in Print: 1987-2-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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