How to find simple nonlocal stability and resilience measures

• Published in: Nonlinear dynamics Vol. 93; no. 2; pp. 887 - 908
• Main Author: Lundström, Niklas L. P.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2018; Springer Nature B.V
• Subjects: Attractors (mathematics); Automotive Engineering; Basin stability; Bistability; Classical Mechanics; Control; Dynamic stability; Dynamical Systems; Economic development; Economic models; Engineering; Global stability; Initial conditions; Mathematical models; Measure of resilience; Measure of stability; Mechanical Engineering; Mechanical systems; Nonlinear dynamics; Nonlinear systems; Original Paper; Perturbation; Random testing; Recovery rate; Resilience; Returntime; Sensitivity; Systems stability; Vibration; Random testing; Sensitivity; Initial conditions; Global stability; Measure of resilience; Returntime; Recovery rate; Measure of stability; Basin stability; Bistability

Stability of dynamical systems is a central topic with applications in widespread areas such as economy, biology, physics and mechanical engineering. The dynamics of nonlinear systems may completely change due to perturbations forcing the solution to jump from a safe state into another, possibly dan...