{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:42:39Z","timestamp":1740120159927,"version":"3.37.3"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,6,30]]},"abstract":"<jats:p> This paper focuses on the relationships of Lyapunov exponents with sensitivity and stability for non-autonomous discrete systems. Some new concepts are introduced for non-autonomous discrete systems, including Lyapunov exponents, strong sensitivity at a point and in a set, Lyapunov stability, and exponential asymptotical stability. It is shown that the positive Lyapunov exponent at a point implies strong sensitivity for a class of non-autonomous discrete systems. Furthermore, the uniformly positive Lyapunov exponents in a totally invariant set imply strong sensitivity in this set under certain conditions. The negative Lyapunov exponent at a point implies exponential asymptotical stability for a class of non-autonomous discrete systems. The related existing results for autonomous discrete systems are generalized to non-autonomous discrete systems and their conditions are weakened. One example is provided for illustration. <\/jats:p>","DOI":"10.1142\/s0218127418500888","type":"journal-article","created":{"date-parts":[[2018,7,17]],"date-time":"2018-07-17T04:26:51Z","timestamp":1531801611000},"page":"1850088","source":"Crossref","is-referenced-by-count":4,"title":["Lyapunov Exponents, Sensitivity, and Stability for Non-Autonomous Discrete Systems"],"prefix":"10.1142","volume":"28","author":[{"given":"Hua","family":"Shao","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. 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