This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
research:area_b [2016/08/26 18:11] root |
— (current) | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | < | ||
| - | ====== B. Dynamics of interacting systems ====== | ||
| - | **Principal Investigators: | ||
| - | **Scientific Partners:** Seung-Yeal Ha (SNU), Ki-Ahm Lee (SNU)\\ | ||
| - | |||
| - | In this project, we will study various aspects of the dynamics of interacting systems in deterministic and random media.\\ | ||
| - | \\ | ||
| - | **Markov statistical dynamics** \\ | ||
| - | We will analyze the related kinetic equations. The main focus will be on dynamics given by fractional Fokker–Planck equations (FPEs).\\ | ||
| - | \\ | ||
| - | **Coupled oscillators** \\ | ||
| - | For systems of coupled oscillators, | ||
| - | |||
| - | * Does noise facilitate synchronization? | ||
| - | * Through which metastable states does the system pass to achieve synchronization? | ||
| - | * How do the answers depend on the coupling structure? | ||
| - | |||
| - | The following variants of the standard Kuramoto model and related models provide ample mathematical challenges and will be studied subsequently: | ||
| - | |||
| - | * A stochastic Kuramoto model with inertia and interaction frustration. | ||
| - | * Different types of random couplings. | ||
| - | * Flocking dynamics for the noisy Cucker–Smale model. | ||
| - | |||
| - | < | ||