Changing Dynamics

Stabilization of Systems with Changing Dynamics

We present a framework for designing stable control schemes for systems with changing dynamics – systems whose dynamics change as the state evolves through different regions in the state space. Systems with changing dynamics (SCD) form a subset of hybrid systems; their stabilization is therefore a problem in hybrid control. It is often difficult or even impossible to design a single controller ...

The Changing Dynamics of Islamic Banking

Modeling Population Dynamics in Changing Environments

Discrete replicator dynamics view evolution as a coordination game played among genes. While previous models of discrete replicator dynamics do not consider environments that respond to the mixed strategy that a population plays, our model incorporates a feedbackbased payoff matrix, which depends on the frequency distribution of alleles. In this model, we construct an environment that is compos...

Diffusion Dynamics with Changing Network Composition

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the topological and dynamic networks through which communication took place as well as local changes in network composition. We show that changes in network structur...

Changing Dynamics of Human–Rickettsial Interactions

Fluctuations in the reported incidence of scrub typhus, Rocky Mountain spotted fever (RMSF), and Mediterranean spotted fever have been noted over the past century since their recognition as arthropod-borne infections, with decadelong periods between the peaks and troughs. In Japan, classic Leptotrombidium akamushi-transmitted scrub typhus occurred with a high incidence before the 1950s, and the...