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math.DS2020
Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters
J. Emenheiser, A. Salova, J. Snyder +2
Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond an…
math.DS2019
Koopman Operator and its Approximations for Systems with Symmetries
Anastasiya Salova, Jeffrey Emenheiser, Adam Rupe +2
Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry argu…