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Spatiotemporal chaos: the microscopic perspective

Abstract : Extended nonequilibrium systems can be studied in the framework of field theory or from dynamical systems perspective. Here we report numerical evidence that the sum of a well-defined number of instantaneous Lyapunov exponents for the complex Ginzburg-Landau equation is given by a simple function of the space average of the square of the macroscopic field. This relationship follows from an explicit formula for the time-dependent values of almost all the exponents.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00657785
Contributor : Nicolas Garnier Connect in order to contact the contributor
Submitted on : Monday, January 9, 2012 - 6:02:46 PM
Last modification on : Tuesday, November 24, 2020 - 8:44:54 AM
Long-term archiving on: : Monday, November 19, 2012 - 1:00:30 PM

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Nicolas Garnier, Daniel K Wójcik. Spatiotemporal chaos: the microscopic perspective. Physical Review Letters, American Physical Society, 2006, 96, pp.114101. ⟨10.1103/PhysRevLett.96.114101⟩. ⟨ensl-00657785⟩

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