Title :
How to represent flows on immersions
Author :
Angeli, David ; Johnson, Russell
Author_Institution :
Dip. Sistemi e Informatica, Florence Univ., Firenze
Abstract :
Motivated by the study of the topological properties of the flow on the boundary of the basin of attraction of asymptotically stable equilibria and limit cycles, we provide a set of sufficient conditions which allow to interpret the flow on a possibly exotic set, as the push-forward, through a suitable map (for instance an immersion), of a corresponding flow defined on a compact manifold without boundary
Keywords :
asymptotic stability; flow instability; asymptotic stable equilibrium; immersion; limit cycle; topological property; Asymptotic stability; Buildings; Differential equations; Fractals; Limit-cycles; Lyapunov method; Manifolds; Nonlinear systems; Sufficient conditions; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377029
