𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Statistical treatment of autonomous systems with divergencelless flows

✍ Scribed by A.R. Plastino; A. Plastino


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
712 KB
Volume
232
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis


Statistical Mechanics (SM) has been quite successful in providing one with exact, or at least approximate, descriptions of the time-dependent solutions of the Liouville (or of the von Neumann) equation within the context of Hamiltonian dynamics (HD). Here we investigate how to extend some of its ideas to more general dynamical systems. We find that for systems that retain from HD just the divergenceless character of the phase space flow many ideas borrowed from the Maximum Entropy Principle approach to SM apply in such a generalized context as well.


πŸ“œ SIMILAR VOLUMES


Numerical treatment of stochastic models
✍ Ameen Alawneh; Kamel Al-Khaled πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 1021 KB

In this paper, by means of the variational iteration method, numerical solutions are computed for some stochastic models, without any linearization or weak assumptions. Two stochastic models, the Fokker-Planck equation for non-equilibrium statistical systems and the Black-Scholes model for pricing s

Non-autonomous chaotic analysis of the c
✍ Ji-Chyun Liu; Hsi-Chiang Chou; Ming Chou Liao; Yi Shun Ho πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 416 KB

## Abstract This paper presents a non‐autonomous chaotic analysis of the Colpitts oscillator. It is available for injection‐locked and synchronized designs of communication systems. The injected BJT Colpitts oscillator, constructed with Lur'e systems, is simulated and measured in applications. Usin