We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical *** of these problems are characterized by high-dimensional dynamical systems.which undergo tr...
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We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical *** of these problems are characterized by high-dimensional dynamical systems.which undergo transitions as parameters are *** computation of the critical conditions associated with these transitions,popularly referred to as‘tipping points’,is important for understanding the transition *** describe the two basic classes of methods of numerical bifurcation analysis,which differ in the explicit or implicit use of the Jacobian matrix of the dynamical *** numerical challenges involved in both methods are mentioned and possible solutions to current bottlenecks are *** demonstrate that numerical bifurcation techniques are not restricted to relatively low-dimensional dynamical systems.we provide several examples of the application of the modern techniques to a diverse set of fluid mechanical problems.
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