Self-consistent hybrid approach for complex systems: Application to the spin-boson model with Debye spectral density

2001 ◽  
Vol 115 (7) ◽  
pp. 2991-3005 ◽  
Author(s):  
Michael Thoss ◽  
Haobin Wang ◽  
William H. Miller
Keyword(s):  
Complex Systems ◽  
Spectral Density ◽  
Hybrid Approach ◽  
Self Consistent ◽  
Boson Model

scholarly journals Tests and applications of self-consistent cranking in the interacting boson model

1999 ◽  
Vol 59 (6) ◽  
pp. 3146-3152
Author(s):  
Serdar Kuyucak ◽  
Michiaki Sugita
Keyword(s):  
Interacting Boson Model ◽  
Self Consistent ◽  
Boson Model

scholarly journals Dynamics of a spin-boson model with structured spectral density

2018 ◽  
Vol 382 (19) ◽  
pp. 1262-1267 ◽  
Author(s):  
Arzu Kurt ◽  
Resul Eryigit
Keyword(s):  
Spectral Density ◽  
Boson Model

Application Of The Criterion Of Links Distribution Between Elements In A Complex System For Evaluation Of Holistic Text Perfection

2018 ◽  
Vol 7 (1) ◽  
pp. 37-50
Author(s):  
Pavel Makagonov
Keyword(s):  
Complex Systems ◽  
Urban Population ◽  
Social Systems ◽  
Mathematical Representation ◽  
Golden Proportion ◽  
Engineering Level ◽  
Self Consistent ◽  
Empirical Law ◽  
Linguistic Models

It is known that texts can be examined as complex social systems and Zipf's law is used when applied for the evaluation of their perfection. It is proposed to add distribution of links between the objects of the system to the list of perfection criteria of texts viewed as complex systems. An empirical law of syntactic and linking words distribution in texts is also proposed. The examples of complex systems are examined in order to define a mathematical representation of this law. The models of such systems are associated with the graph theory, exchange of messages at internet forums, distribution of urban population across city districts, and transportation networks. At the “engineering level of rigor” it is shown that in these systems, the empirical law of links distribution between the objects has a general mathematical representation. Non-linguistic models are provided to prove the system-wide character of the distribution of links ranks feature, but the models are also suitable for the self-consistent use in the corresponding applications. The golden proportion in the number of syntactic and significant words is proposed as an additional criterion of text perfection. Perfection criteria are useful in the analysis of the quality of texts posted in the internet and in the development of recommendations for the improvement of texts used for school purposes.

scholarly journals Open Systems with Error Bounds: Spin-Boson Model with Spectral Density Variations

2017 ◽  
Vol 118 (10) ◽  
Author(s):  
F. Mascherpa ◽  
A. Smirne ◽  
S. F. Huelga ◽  
M. B. Plenio
Keyword(s):  
Spectral Density ◽  
Error Bounds ◽  
Open Systems ◽  
Boson Model

Hybrid approaches of accident modeling for risk management in socio-technical systems

2021 ◽  
Author(s):  
M. Kiwan ◽  
D.V. Berezkin ◽  
A. Hamed
Keyword(s):  
Risk Management ◽  
Complex Systems ◽  
Practical Importance ◽  
Hybrid Approach ◽  
Sociotechnical Systems ◽  
High Tech ◽  
Safety Issues ◽  
New Approaches ◽  
Hybrid Approaches ◽  
Technical Systems

Statement of a problem. The increasing complexity in high-tech systems leads to potentially disastrous failure models and new kinds of safety issues. This led to the development of new approaches, for modeling accidents and risk management. In recent years, extended and hybrid approaches have been gaining popularity due to their effectiveness in decision-making for the design and operation of socio-technical systems. The proliferation of these approaches makes it difficult to select the appropriate approach for a particular system. Purpose. Conduct a comparative analysis of various hybrid approaches of accidents in complex systems, identify the strengths and weaknesses of each one, and study the feasibility of their use in risk management in socio-technical systems. Results. The paper analyzes the main approaches of accident modeling (FRAM, STAMP, failure tree, AcciMap) and their limitations in determining cause-effect relationships and dynamics of modern complex systems. New approaches to safety and accident modeling in sociotechnical systems are discussed, these approaches depend on combining several models into one hybrid approach: FuzzyFTA, FRAM-ANP, ACAT-FRAM, STAMP-HFACS, AcciMap-ANP, and SD-ET-FT-ANN. A review of hybrid approaches of accident modeling in complex systems and identify weaknesses and strengths, as well as the application field of each one of these approaches. Practical importance. This study will be a guide for researchers in the field of accident modeling and risk management in sociotechnical systems. It also concludes that it is necessary to use different approaches to risk management depending on the type of risk and the complexity of the system.

Systematic convergence in the dynamical hybrid approach for complex systems: A numerically exact methodology

2001 ◽  
Vol 115 (7) ◽  
pp. 2979-2990 ◽  
Author(s):  
Haobin Wang ◽  
Michael Thoss ◽  
William H. Miller
Keyword(s):  
Complex Systems ◽  
Hybrid Approach
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