Negative Lyapunov exponents for dissipative systems |
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| Affiliation: | 1. Experimental Biophysics and Applied Nanoscience, Faculty of Physics, Bielefeld University, Bielefeld 33615, Germany;2. Nanomalaria Group, Institute for Bioengineering of Catalonia (IBEC), The Barcelona Institute of Science and Technology, Baldiri Reixac 10-12, Barcelona 08028, Spain;3. Barcelona Institute for Global Health (ISGlobal), Barcelona Center for International Health Research (CRESIB, Hospital Clínic-Universitat de Barcelona), Rosselló 149-153, Barcelona 08036, Spain;4. Nanoscience and Nanotechnology Institute (IN2UB), University of Barcelona, Martí i Franquès 1, Barcelona 08028, Spain |
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| Abstract: | By analyzing time-reversed trajectories from irreversible dissipative systems, we effectively reverse the order and signs of all the Lyapunov exponents. This reversal makes it possible to obtain the most negative Lyapunov exponents relatively easily. We illustrate the validity of this idea by studying the Lorenz model of Rayleigh-Bénard instability. |
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