Identification and prediction of bifurcation tipping points using complex networks based on quasi-isometric mapping

Peng, Xiaoyi; Zhao, Yi; Small, Michael

doi:10.1016/j.physa.2020.125108

Cited by 13 publications

(6 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the context of time series analysis, visibility graphs are part of a family of algorithms based on converting time series to complex networks. Visibility graph algorithms are useful for time series analysis because they can help to identify patterns and trends that would otherwise be difficult to see using traditional non-linear time series analysis and were effectively used to detect chaotic behavior [17] , [18] , bifurcations [19] , phase transitions [20] , and self-organization [21] and fractal behavior [22] . Visibility graphs can be used to study time reversibility in non-stationary systems, as well [23] , and are invariant under affine transformations, such as re-scaling of axes, are always connected, and two consecutive observations of the time series are always connected in the visibility graph.…”

Section: Related Theorymentioning

confidence: 99%

Estimating pandemic effects in urban mass transportation systems: An approach based on visibility graphs and network similarity

Pérez

Pereira

2023

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Section: Related Theorymentioning

confidence: 99%

Estimating pandemic effects in urban mass transportation systems: An approach based on visibility graphs and network similarity

Pérez

Pereira

2023

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

“…Modern diagnostic methods assessing the degree of degradation of the mechanical properties of materials have various technical applications [ 17 , 18 ]. In [ 19 ], the identification and forecasting of the turning points of bifurcations using complex networks is presented. In [ 20 ], the results of the identification of complex interactions between biological objects and their modeling in the form of graphs are presented.…”

Section: Relative Workmentioning

confidence: 99%

An Acoustic Emission Method for Assessing the Degree of Degradation of Mechanical Properties and Residual Life of Metal Structures under Complex Dynamic Deformation Stresses

2021

View full text Add to dashboard Cite

An acoustic emission method for assessing the degree of degradation of mechanical properties under conditions of complex dynamic deformation stresses is proposed. It has been shown that changing the operating conditions of metal structures, peak loads, external collisions, and thermally changing loads, which cannot be taken into account, leads to uncertainty and unpredictable structural changes in the material. This in turn makes it difficult to identify the state of the structure material to ensure trouble-free operation of the equipment. Changes in the mechanical properties under difficult loading conditions are identified by polynomial approximation of the results of AE measurements and the construction of boundary curves separating the operability region from the fracture region. This is achieved by approximating the experimental dependences of the acoustic parameters for various types of loading. This approach significantly expands the capabilities of the technical means of identification systems of metal structures, and in particular, allows the current state of the equipment and its suitability for further operation to be assessed without stopping the equipment in real time. It is of interest not only to fix the damage, but also to diagnose the processes of reducing the mechanical properties during the operation of the equipment.

show abstract

“…Interest in identifying the state of a material under load has manifested itself in the development of similar issues in related fields of science and technology. The identification of bifurcations in distributed complex networks is considered in [ 3 ]. The identification of the operability of power systems is presented in [ 4 ].…”

Section: Introductionmentioning

confidence: 99%

The Theory of Similarity and Analysis of Dimensions for Determining the State of Operation of Structures under Difficult Loading Conditions

et al. 2022

View full text Add to dashboard Cite

A simulation mathematical model of the state of operability of metal structures under difficult operating conditions without stopping the equipment was developed in the form of similarity criteria found on the basis of the laws of conservation of data obtained experimentally during tensile and four-point bending tests. Criteria are proposed for the similarity of the state of the material of the samples and the products in service, in which the kinetics of destruction are determined through the rate of damage accumulation and the movement of the structural components of the material. The residual life of the equipment under conditions of complex deformation effects was determined based on the theory of similarity and the analysis of the dimensions of the parameters of acoustic emission in real time. The use of concepts and models of fracture mechanics when creating methods and criteria for assessing the results of diagnostics and monitoring allows important information about the technical state of objects to be obtained.

show abstract

Identification and prediction of bifurcation tipping points using complex networks based on quasi-isometric mapping

Cited by 13 publications

References 45 publications

Estimating pandemic effects in urban mass transportation systems: An approach based on visibility graphs and network similarity

Estimating pandemic effects in urban mass transportation systems: An approach based on visibility graphs and network similarity

An Acoustic Emission Method for Assessing the Degree of Degradation of Mechanical Properties and Residual Life of Metal Structures under Complex Dynamic Deformation Stresses

The Theory of Similarity and Analysis of Dimensions for Determining the State of Operation of Structures under Difficult Loading Conditions

Contact Info

Product

Resources

About