Chaos and fluctuations in nonlinear dissipative systems

Publication Type:

Journal Article

Authors:

Source:

Journal of Physical Chemistry, Volume 86, Number 12, p.2205-2217 (1982)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-6244229501&doi=10.1021%2fj100209a015&partnerID=40&md5=6f0092a46c648fd2a21b190678bd499c

Abstract:

The dynamics of many condensed-phase systems can be described by forced, damped, nonlinear oscillator models. The deterministic motion of such oscillators is complex. In addition to a variety of periodic states, there are attracting sets on which the motion is chaotic (strange attractors). The origin and character of the chaotic states, which arise either by an infinite sequence of subharmonic bifurcations or abruptly by other mechanisms, are discussed. The types of chaotic behavior are illustrated with results for the Morse, Duffing, and cosine oscillators. Fluctuations play an important role in the study of rate processes in these systems and the effects of noise on the dynamics is also considered. Some specific noise-induced effects which are examined include transitions between chaotic and periodic solutions, and barrier crossing dynamics. © 1982 American Chemical Society.