Contraction and Synchronization in Reservoir Systems

• Published in: arXiv.org
• Main Authors: Wong, Adrian S, Martin, Robert S, Eckhardt, Daniel Q
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 07.08.2024
• Subjects: Approximation; Continuity (mathematics); Differential equations; Digital twins; Discrete time systems; Dynamical systems; Synchronism; Time synchronization

This work explores the conditions under which global contraction manifests in the leaky continuous time reservoirs, thus guaranteeing Generalized Synchronization. Results on continuous time reservoirs make use of the logarithmic norm of the connectivity matrix. Further analysis yields some simple gu...