An algorithmic view of pseudochaos

作     者：Chirikov, BV Vivaldi, F 

作者机构：Univ London Queen Mary & Westfield Coll Sch Math Sci London E1 4NS England Budker Inst Nucl Phys Novosibirsk 630090 Russia 

出 版 物：《PHYSICA D》 (物理学D辑：非线性现象)

年 卷 期：1999年第129卷第3-4期

页      面：223-235页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 

主　　题：quantum chaos pseudochaos algorithmic complexity theory ergodic theory 

摘      要：The controversial concept of quantum chaos - the dynamical chaos in bounded mesoscopic quantum systems - is presented as the most important and universal instance of a new generic dynamical phenomenon: pseudochaos. The latter characterizes the irregular behaviour of dynamical systems with discrete energy and/or frequency spectrum, which include classical systems with discrete phase space. The question of randomness is addressed in terms of the algorithmic theory of dynamical systems, using the Arnold cat map for illustration. The relationship between the algorithmic theory and ergodic theory is discussed. (C) 1999 Elsevier Science B.V. All rights reserved.