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Color scale indicates oscillator phase. There are a number of types of variations that can be applied to the original model presented above. Some models change the topological structure, others allow for heterogeneous weights, and other changes are more related to models that are inspired by the Kuramoto model but do not have the same ...
Coupled mode theory first arose in the 1950s in the works of Miller on microwave transmission lines, [1] Pierce on electron beams, [2] and Gould on backward wave oscillators. [3] This put in place the mathematical foundations for the modern formulation expressed by H. A. Haus et al. for optical waveguides.
Time crystals show a broken symmetry analogous to a discrete space-translation symmetry breaking. For example, [ citation needed ] the molecules of a liquid freezing on the surface of a crystal can align with the molecules of the crystal, but with a pattern less symmetric than the crystal: it breaks the initial symmetry.
A Wilberforce pendulum can be designed by approximately equating the frequency of harmonic oscillations of the spring-mass oscillator f T, which is dependent on the spring constant k of the spring and the mass m of the system, and the frequency of the rotating oscillator f R, which is dependent on the moment of inertia I and the torsional ...
In quantum chromodynamics, the local symmetry group is SU(3) and is non-abelian. The electromagnetic interaction is mediated by photons, which have no electric charge. The electromagnetic tensor has an electromagnetic four-potential field possessing gauge symmetry. The strong (color) interaction is mediated by gluons, which can have eight color ...
ECO oscillator schematic. In the vacuum-tube radio, an electron-coupled oscillator or ECO oscillator uses a screen-grid tube with the cathode, control grid and screen grid forming the elements of the frequency-generating circuit while the plate is in the output circuit, shielded from the oscillator circuit proper by the screen grid.
Time-translation symmetry is the law that the laws of physics are unchanged (i.e. invariant) under such a transformation. Time-translation symmetry is a rigorous way to formulate the idea that the laws of physics are the same throughout history. Time-translation symmetry is closely connected, via Noether's theorem, to conservation of energy. [1]
However, synchronization of coupled or driven chaotic oscillators is a phenomenon well established experimentally and reasonably well-understood theoretically. The stability of synchronization for coupled systems can be analyzed using master stability. Synchronization of chaos is a rich phenomenon and a multi-disciplinary subject with a broad ...