| Θέμα μεταδιδακτορικής έρευνας: | «Mathematical Analysis of Nonlinear Lattice Dynamical Systems and Partial Differential Equations emerging in Science and Technology» |
| Επιβλέπων Καθηγητής: | Νικόλαος Καραχάλιος |
| Χρονική διάρκεια έρευνας: | 14-4-2021 έως σήμερα |
| Φορέας χρηματοδότησης: | |
| Ερευνητικά ενδιαφέροντα: | Nonlinear dynamics of networks of coupled oscillator systems: energy localisation, existence and stability of breather solutions; dissipative solitons; transport in phase space |
| E-mail: | dirkhennig@uth.gr |
| Προσωπική ιστοσελίδα : |
Βιογραφικό
Δημοσεύσεις
Επιλεγμένες δημοσιεύσεις
- D. Hennig, ‘Localised time-periodic solutions of discrete nonlinear KleinGordon systems with convex on-site potentials’, Journal of Fixed Point Theory and Applications 23, Article number: 31 (2021).
- D. Hennig and N. Karachalios, ‘Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence’, arXiv:2104.00338 (2021).
- D. Hennig, N.I. Karachalios, and J. Cuevas-Maraver, ‘The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrodinger equation’, arXiv:2102.05332 (2021).
- D. Hennig, ‘Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schrodinger equations’, arXiv:2103.03533 (2021).
- D. Hennig ‘Existence of breathing patterns in globally coupled nite-size nonlinear lattices’, Appl. Anal. 98, 2511 (2019).
- D. Hennig ‘Periodic travelling wave solutions of discrete nonlinear Schrodinger equations’, J. Appl. Math. Vol. 2017, Article ID 3694103 (2017).
- D. Hennig, ‘Existence of nonlinear normal modes for coupled nonlinear oscillators’, Nonlinear Dynamics 79 (2015).
- D. Hennig. L. Schimansky-Geier, C. Mulhern, G.P. Tsironis, and P. Hanggi, ‘Cooperative surmounting of barriers’, Physics Reports 586, 1 (2015).
- D. Hennig ‘Existence and non-existence of breathers in damped and driven nonlinear lattices’, AIP Advances 3, 102127 (2013).
- D. Hennig, C. Mulhern, and A.D. Burbanks ‘From strong chaos via weak chaos to regular behaviour: Optimal interplay between chaos and order’, Physica D 253, 102 (2013).
- D. Hennig, A.D. Burbanks, A.H. Osbaldestin and C. Mulhern, ‘Transient-chaos induced directed transport in a spatially-open Hamiltonian system’, Journal of Physics A: Mathematical and General 43, 345101 (2010).
- D. Hennig, L. Schimansky-Geier and P. Hanggi, ‘Surmounting collectively oscillating bottlenecks’, Europhysics Letters 83, 60008 (2008).
- D. Hennig, L. Schimansky-Geier and P. Hanggi, ‘Escaping particles in a periodic potential show giant directed transient transport’, Europhysics News 39, 21 (2008).
- D. Hennig, L. Schimansky-Geier and P. Hanggi, ‘Self-organized, noise-free escape of a coupled oscillator chain’, Europhysics Letters 78, 20002 (2007).
- D. Hennig and G.P. Tsironis, ‘Wave transmission in nonlinear lattices’, Physics Reports 307, 333 (1999).
- D. Hennig, ‘Exponential stability and freezing of the actions for the energy exchange dynamics of the Holstein model’, Journal of Mathematical Physics 39, 3568 (1998).
Έρευνα
