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Lan Yueheng's Homepage | |
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My research is focused on nonlinear dynamical systems, especially on spatially extended systems described by PDEs. While many tools developed in low-dimensional chaotic systems are still valid, the high dimensionality of extended systems requires careful check and special techniques to apply them.
Currently, I am applying periodic orbit theory to 2 simple but nontrivial models: Complex Ginzburg-Landau equation (CGLe) and Kuramoto-Sivashinsky equation (KSe).
Here are some results that we got:|
Yueheng Lan
Dynamical systems approach to 1-$d$ spatiotemporal chaos -- A cyclist's view Ph. D. thesis draft, target date July 2004 |
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Yueheng Lan
and
Predrag Cvitanović
Variational method for finding periodic orbits in a general flow Phys. Rev. E 69, 016217 (2004) |
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Yueheng Lan
and
Predrag Cvitanović
Unstable recurrent patterns in Kuramoto-Sivashinsky dynamics Preprint, Numerical construction of curvilinear coordinates and 1-d approximation of the return map |
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Predrag Cvitanović
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Yueheng Lan
Turbulent fields and their recurrences in N.~Antoniou, ed., Proceed. of 10. Intern. Workshop on Multiparticle Production: Correlations and Fluctuations in QCD (World Scientific, Singapore 2003); |
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Yueheng Lan,
Nicola Garnier and
Predrag Cvitanović
Modulated solutions of the complex Ginzburg-Landau equation Physica D , to appear (submitted July 2002) |
I completed my Ph.D studies at the Center for Nonlinear Science, belonging to the School of Physics of Georgia Institute of Technology. The nonlinear group is not the worst nationwide. We encourage interdisciplinary interactions and investigations and believe that this is a fruitful way to the development of the vast area of nonlinear science. Currently, we collaborate with mathematicians, fluid mechanists, biologists, chemists, computer scientists, ...My advisor is Predrag Cvitanović who is the director of the Center.
Here are some useful links:
Jun 19 2006
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