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Abstract
In this note, some sufficient conditions on the ergodic sensitivity of dynamical systems are obtained, improving the main results in [Q.-L. Huang, Y.-M. Shi, L.-J. Zhang, Appl. Math. Lett., 39 (2015), 31-34] and [R.-S. Li, Y.-M. Shi, Nonlinear Anal., 72 (2010), 2716-2720]. Moreover, it is proved that under these conditions, the second Lyapunov number of a dynamical system is equal to the diameter of its state space.
| Original language | English |
|---|---|
| Pages (from-to) | 3404-3408 |
| Journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS |
| Volume | 10 |
| Issue number | 7 |
| Online published | 21 Jul 2017 |
| DOIs | |
| Publication status | Published - 2017 |
Research Keywords
- Sensitivity
- ergodic sensitivity
- Lyapunov number
- LARGE DEVIATIONS THEOREM
- DYNAMICAL-SYSTEMS
- DEPENDENCE
- CHAOS
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- 1 Finished
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GRF: Controllability and Observability of Evolving Directed Networks with Non-identical Linear Node Dynamics
CHEN, G. (Principal Investigator / Project Coordinator)
1/01/15 → 4/12/18
Project: Research