Research Interest:
Use analysis, geometry and topology to study problems in mechanics, electricity and other physical settings; Various areas of nonlinear dynamics - these include KAM(Kolmogorov-Arnold-Moser) theory with applications to stability of particular Hamiltonian systems; adiabatic invariants and chaotic behavior; waves in lattices of coupled oscillators; high-frequency vibrations and stabilization; long-term behavior of charged particles in magnetic fields.
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