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New Proof Shows That ‘Expander’ Graphs Synchronize
The proof establishes new conditions that cause connected oscillators to sway in sync.
New Proof Finds the ‘Ultimate Instability’ in a Solar System Model
For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.
New Quantum Algorithms Finally Crack Nonlinear Equations
Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.
Scientists Discover Exotic New Patterns of Synchronization
In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.