{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T17:49:18Z","timestamp":1774720158828,"version":"3.50.1"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,4]]},"abstract":"<jats:p>This paper presents a Ying\u2013Yang theory for nonlinear discrete dynamical systems considering both positive and negative iterations of discrete iterative maps. In the existing analysis, the solutions relative to \"Yang\" in nonlinear dynamical systems are extensively investigated. However, the solutions pertaining to \"Ying\" in nonlinear dynamical systems are investigated. A set of concepts on \"Ying\" and \"Yang\" in discrete dynamical systems are introduced to help one understand the hidden dynamics in nonlinear discrete dynamical systems. Based on the Ying\u2013Yang theory, the periodic and chaotic solutions in nonlinear discrete dynamical system are discussed, and all possible, stable and unstable periodic solutions can be analytically predicted. A discrete dynamical system with the Henon map is investigated, as an example.<\/jats:p>","DOI":"10.1142\/s0218127410026332","type":"journal-article","created":{"date-parts":[[2010,6,28]],"date-time":"2010-06-28T11:32:33Z","timestamp":1277724753000},"page":"1085-1098","source":"Crossref","is-referenced-by-count":9,"title":["A YING\u2013YANG THEORY IN NONLINEAR DISCRETE DYNAMICAL SYSTEMS"],"prefix":"10.1142","volume":"20","author":[{"given":"ALBERT C. 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