Huygens’ clocks revisited

Huygens ’ clocks revisited Allan

In 1665, Huygens observed that two identical pendulum clocks, weakly coupled through a heavy beam, soon synchronized with the same period and amplitude but with the two pendula swinging in opposite directions. This behaviour is now called anti-phase synchronization. This paper presents an analysis of the behaviour of a large class of coupled identical oscillators, including Huygens’ clocks, usi...

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Huygens’ clocks revisited

In 1665, Huygens observed that two identical pendulum clocks, weakly coupled through a heavy beam, soon synchronized with the same period and amplitude but with the two pendula swinging in opposite directions. This behaviour is now called anti-phase synchronization. This paper presents an analysis of the behaviour of a large class of coupled identical oscillators, including Huygens' clocks, usi...

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Huygens ’ s clocks

Shortly after The Royal Society’s founding in 1660, Christiaan Huygens, in partnership with the Society, set out to solve the outstanding technological challenge of the day: the longitude problem, i.e. nding a robust, accurate method of determining longitude for maritime navigation (Yoder 1990). Huygens had invented the pendulum clock in 1657 (Burke 1978) and, subsequently, had demonstrated m...

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0888 Huygens ’ s clocks

Shortly after The Royal Society’s founding in 1660, Christiaan Huygens, in partnership with the Society, set out to solve the outstanding technological challenge of the day: the longitude problem, i.e. nding a robust, accurate method of determining longitude for maritime navigation (Yoder 1990). Huygens had invented the pendulum clock in 1657 (Burke 1978) and, subsequently, had demonstrated m...

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Huygens synchronization of two clocks

The synchronization of two pendulum clocks hanging from a wall was first observed by Huygens during the XVII century. This type of synchronization is observed in other areas, and is fundamentally different from the problem of two clocks hanging from a moveable base. We present a model explaining the phase opposition synchronization of two pendulum clocks in those conditions. The predicted behav...

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Huygens’ clocks revisited

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