Scientific achievements: Recent selected publications: 1. Generalized Dimers and their Stokes-variable Dynamics" H. Xu, P. G. Kevrekidis, A. Saxena J. Phys. A: Math. Theor., 48, 055101 (2015) 2. Traveling Waves and their Tails in Locally Resonant Granular Systems" H. Xu, P.G. Kevrekidis, A. Stefanov J. Phys. A: Math. Theor., 48, 195204 (2015) 3.Nonlinear Low-to-High Frequency Energy Cascades in Diatomic Granular Crys-tals" E. Kim, R. Chaunsali, H. Xu, J. Jaworski, J. Yang, P. G. Kevrekidis, A.F. Vakakis Phys. Rev. E, 92, 062201 (2015) 4. Traveling waves for the Mass in Mass model of granular chains" P. G. Kevrekidis, A. G. Stefanov, H. Xu Lett. Math. Phys., (2016) 106: 1067 5. Existence and stability of PT -symmetric states in nonlinear two-dimensional square lattices" H. Xu, P. G. Kevrekidis, D. E. Pelinovsky Physica D, 326, 1-20 (2016) 6. Existence, Stability and Dynamics of Harmonically Trapped One-Dimensional Multi- Component Solitary Waves: The Near-Linear Limit" H. Xu, P. G. Kevrekidis, T. Kapitula J. Math. Phys., 58, 061901 (2017) 7. Linear and nonlinear dynamics of isospectral granular chains" H. Xu, R. Chaunsali, J. Yang, P.G. Kevrekidis J. Phys. A: Math. Theor., 50, 175201 (2017) 8. Unifying perspective: Solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability" J. Cuevas-Maraver, P.G. Kevrekidis, A. Vainchtein, H. Xu Phys. Rev. E, 96, 032214 (2017) |