2000/05/02 by R. Kobes, Kobes, R., Slaven Peleš +2
Computer Science · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0005005
7 pages, 6 figures, uses ReVTeX-beta
arxiv created 2000/05/02 · openalex publication_date 2000/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study two types of exponential instability -- parametric resonance and chaos. We show that a given equation may produce chaos or parametric resonance, depending how the problem is defined. In so doing we establish a relationship between the Floquet indices (associated with parametric resonance) and Lyapunov exponents (associated with chaos).