𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Description of chaotic motion by an invariant probability density

✍ Scribed by A. Kunert; F. Pfeiffer


Book ID
104621514
Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
750 KB
Volume
2
Category
Article
ISSN
0924-090X

No coin nor oath required. For personal study only.

✦ Synopsis


An observation of single trajectories exhibiting chaotic motion turns out to be disadvantageous because even smallest variations of the initial conditions grow exponentially in time and result in an unpredictable long-time behaviour, The paper gives a different approach based on a probability distribution of the state space variables which is invariant on the area of attraction and results in a global description of chaotic motion.


πŸ“œ SIMILAR VOLUMES


Chaotic motion of the density operator f
✍ R. Tiebel; F.-J. SchΓΌtte; M. Mareyen πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 750 KB

A semiconductor inside a ring cavity is driven by an external light wave. Free carriers screen the interaction between excitons and photons. The density operator of this dissipative system is represented by a quasi-distribution assumed to be in the form of a generalized Gaussian. Its coefficients ob