Abstract
An introduction of Lyapunov stability and dynamical systems. First the concepts of stability, instability, attractivity, and asymptotic stability are introduced. Then autonomous semi-dynamical systems and their invariant sets, omega limit sets and attractors are defined.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 The Author(s)
About this chapter
Cite this chapter
Han, X., Kloeden, P. (2017). Lyapunov Stability and Dynamical Systems. In: Attractors Under Discretisation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-61934-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-61934-7_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-61933-0
Online ISBN: 978-3-319-61934-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)