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- | ====== B. Dynamics of interacting systems ====== | ||
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- | **Principal Investigators: | ||
- | **Scientific Partners:** Seung-Yeal Ha (SNU), Ki-Ahm Lee (SNU)\\ | ||
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- | 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, | ||
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- | * Does noise facilitate synchronization? | ||
- | * Through which metastable states does the system pass to achieve synchronization? | ||
- | * How do the answers depend on the coupling structure? | ||
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- | The following variants of the standard Kuramoto model and related models provide ample mathematical challenges and will be studied subsequently: | ||
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- | * A stochastic Kuramoto model with inertia and interaction frustration. | ||
- | * Different types of random couplings. | ||
- | * Flocking dynamics for the noisy Cucker–Smale model. | ||
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