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nlin.SI2022★ 3 cited
Koopman analysis of the periodic Korteweg-de Vries equation
Jeremy P Parker, Claire Valva
The eigenspectrum of the Koopman operator enables the decomposition of nonlinear dynamics into a sum of nonlinear functions of the state space with purely exponential and sinusoida…
nlin.CD2022★ 5 cited
Invariant tori in dissipative hyperchaos
Jeremy P Parker, Tobias M Schneider
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's c…