Quantization of a General Dynamical System by Feynman's Path Integration Formulation

1972 ◽  
Vol 13 (11) ◽  
pp. 1723-1726 ◽  
Author(s):  
K.S. Cheng
Keyword(s):  
Dynamical System ◽  
Path Integration ◽  
General Dynamical System

IMPROVED CANONICAL QUANTIZATION METHOD OF SPINOR ELECTRODYNAMICS WITH SINGULAR LAGRANGIAN

2011 ◽  
Vol 26 (26) ◽  
pp. 4543-4551
Author(s):  
FENG-HUA FAN ◽  
YONG-CHANG HUANG
Keyword(s):  
Dynamical System ◽  
Electromagnetic Field ◽  
Linear Combination ◽  
Spinor Field ◽  
Canonical Quantization ◽  
Class Constraint ◽  
Quantization Method ◽  
The Stability ◽  
General Dynamical System

This paper analyzes the general interaction of spinor field and electromagnetic field, i.e. spinor electrodynamics with singular Lagrangian, and the improved canonical quantization method of spinor electrodynamics is given in order to overcome the problems of the second-class constraint linear combination and the first-class constraint number maximization brought by the traditional canonical quantization method. In the improved canonical quantization method, there are no problems of artificial linear combination and first-class constraint number maximization, at the same time, the stability of the system is considered. The improved canonical quantization method is more natural than the traditional way and we show that the results of the canonical quantization of spinor electrodynamics are equal to the results of the traditional way. For a general dynamical system with singular Lagrangian, one can extendingly use the improved canonical quantization method to quantize the system.

Quantization of a general dynamical system

1973 ◽  
Vol 14 (12) ◽  
pp. 1935-1937 ◽  
Author(s):  
S. I. Ben‐Abraham ◽  
A. Lonke
Keyword(s):  
Dynamical System ◽  
General Dynamical System

scholarly journals Delay-Induced Uncertainty in Physiological Systems

2020 ◽  
Author(s):  
Bhargav Karamched ◽  
George Hripcsak ◽  
Dave Albers ◽  
William Ott
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Flow Model ◽  
Broad Class ◽  
Physiological Model ◽  
Linear Shear ◽  
Rank One ◽  
Model Reliability ◽  
General Dynamical System ◽  
Physiological Systems

AbstractMedical practice in the intensive care unit is based on the supposition that physiological systems such as the human glucose-insulin system are reliabile. Reliability of dynamical systems refers to response to perturbation: A dynamical system is reliable if it behaves predictably following a perturbation. Here, we demonstrate that reliability fails for an archetypal physiological model, the Ultradian glucose-insulin model. Reliability failure arises because of the presence of delay. Using the theory of rank one maps from smooth dynamical systems, we precisely explain the nature of the resulting delay-induced uncertainty (DIU). We develop a recipe one may use to diagnose DIU in a general dynamical system. Guided by this recipe, we analyze DIU emergence first in a classical linear shear flow model and then in the Ultradian model. Our results potentially apply to a broad class of physiological systems that involve delay.

General dynamical systems and conditional stability

1967 ◽  
Vol 63 (1) ◽  
pp. 199-207 ◽  
Author(s):  
A. A. Kayande ◽  
V. Lakshmikantham
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Metric Space ◽  
Lyapunov Functional ◽  
Conditional Stability ◽  
Stability Properties ◽  
Lyapunov's Method ◽  
Lyapunov’S Method ◽  
The Stability ◽  
General Dynamical System

The notion of a general dynamical system was introduced by Barbashin(1). In this paper we consider a general dynamical system in a metric space following Zubov(6) where Lyapunov's method has been extended to investigate the stability properties using a single Lyapunov functional.

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