Synchronization of thermostatically controlled first-order systems. (English) Zbl 1143.80305
Summary: We analyze the collective dynamics of a number of individually heated rooms arranged in the form of a ring. The temperature of each room is kept within a given band by a thermostat which makes it behave as a self-sustained oscillator. Each room interacts thermally only with its immediate neighbors and with the exterior. The temperature in each room is modeled by a first-order differential equation. Numerical results of the complete system show the presence of a rich array of synchronization dynamics in frequency and phase as well as clustering and coupling-induced amplitude death.
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
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