Cameron Caligan

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In 1665, the Dutch scientist Christiaan Huygens discovered that two pendulum clocks mounted on the same wall synchronize with one another—the bobs swing with the same frequency but exactly out of phase. The origin of this effect is weak coupling of the clocks mediated through the walls vibrations. Ever since, the seemingly old topic of synchronization has(More)
Hamiltonian dynamics are characterized by a function, called the Hamiltonian, and a Poisson bracket. The Hamiltonian is a conserved quantity due to the anti-symmetry of the Poisson bracket. The Poisson bracket satisfies the Jacobi identity which is usually more intricate and more complex to comprehend than the conservation of the Hamiltonian. Here, we(More)
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