Stagnant Motions in Hamiltonian Systems

• DOI: 10.1143/ptps.98.36
• Publication Date: 2007-07-10T00:54:48Z
• Authors: Yoji Aizawa; Yasuhiro Kikuchi; Takahisa Harayama; Kenshi Yamamoto; Motonori Ota; Kenji Tanaka
• Keywords: Hamiltonian (control theory)

Hamiltonian systems often reveal the chaotic phenomena with long time memory, and then average of a dynamical variable does not seem to converge toward certain constant monotonically. Even when looks like in limit under given initial condition, for many cases limiting value depends sensitively on data. Chaos system is usually discussed framework ergodic theory which guarantees weak law large number unique existence except measure zero set. However, hamiltonian chaos seems be difficult understand same line straightforwardly. The essence more complex (or robust) than that purely ones. In this paper we devote ourselves research origin such wild tails.