2 papers
math.DS2026
Data-Driven Modeling of Global Bifurcations and Chaos in a Mechanical System under Delayed and Quantized Control
Giacomo Abbasciano, Balázs Endrész, Gábor Stépán +1
We illustrate how the recent theory of Spectral Submanifolds (SSM) can capture global bifurcations and complex dynamics in mechanical systems even under delay and spatial discretiz…
math.DS2025
Existence of spectral submanifolds in time delay systems
Gergely Buza, George Haller
Spectral submanifolds (SSMs) are invariant manifolds of a dynamical system, defined by the property of being tangent to a spectral subspace of the linearized dynamics at a steady s…