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Nonlinear dynamical regimes and control of turbulence through the complex Ginzburg-Landau equation

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dc.contributor.author Tafo, Joël Bruno Gonpe
dc.contributor.author Nana, Laurent
dc.contributor.author Tabi, Conrad Bertrand
dc.contributor.author Kofané, Timoléon Crépin
dc.date.accessioned 2021-08-16T11:11:37Z
dc.date.available 2021-08-16T11:11:37Z
dc.date.issued 2020-03-11
dc.identifier.citation Tafo, J.B. G. et al (2020).Nonlinear dynamical regimes and control of turbulence through the complex Ginzburg-Landau equation, Research Advances in Chaos Theory, Paul Bracken, IntechOpen, DOI: 10.5772/intechopen.88053. en_US
dc.identifier.issn 978-1-83880-408-4
dc.identifier.issn 978-1-78985-543-2
dc.identifier.issn 978-1-78985-544-9
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/320
dc.description.abstract The dynamical behavior of pulse and traveling hole in a one-dimensional system depending on the boundary conditions, obeying the complex Ginzburg-Landau (CGL) equation, is studied numerically using parameters near a subcritical bifurca- tion. In a spatially extended system, the criterion of Benjamin-Feir-Newell (BFN) instability near the weakly inverted bifurcation is established, and many types of regimes such as laminar regime, spatiotemporal regime, defect turbulence regimes, and so on are observed. In finite system by using the homogeneous boundary conditions, two types of regimes are detected mainly the convective and the absolute instability. The convectively unstable regime appears below the threshold of the parameter control, and beyond, the absolute regime is observed. Controlling such regimes remains a great challenge; many methods such as the nonlinear diffusion parameter control are used. The unstable traveling hole in the one- dimensional cubic-quintic CGL equation may be effectively stabilized in the chaotic regime. In order to stabilize defect turbulence regimes, we use the global time-delay auto-synchronization control; we also use another method of control which consists in modifying the nonlinear diffusion term. Finally, we control the unstable regimes by adding the nonlinear gradient term to the system. We then notice that the chaotic system becomes stable under strong nonlinearity. en_US
dc.language.iso en en_US
dc.publisher IntechOpen en_US
dc.subject Benjamin-Feir-Newell instability en_US
dc.subject Subcritical bifurcation en_US
dc.subject Complex Ginzburg-Landau equation en_US
dc.subject Unstable traveling hole en_US
dc.title Nonlinear dynamical regimes and control of turbulence through the complex Ginzburg-Landau equation en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department paa en_US


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