Quantifying chaos of curvilinear beams via exponents

Awrejcewicz, Jan; Krysko, Vadim A.; Кутепов, И. Е.; Vygodchikova, I. Yu.; Krysko, Anton V.

doi:10.1016/j.cnsns.2015.02.016

Cited by 10 publications

(5 citation statements)

References 16 publications

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“…This approach makes it possible to influence the management of private clinics through clear ideas on the algorithms for prescribing drugs in each group of patients and their zoning in the vector recovery mode. [17][18][19] The method is fundamentally new, since it is aimed at reducing the use of drugs and regular monitoring of the human body in order to optimize physical activity and sleep-rest -mental and physical-labor activity, sports development mode according to the daily grouping of incentives and tourist excitement. 20,21 Initial data and sample size: 552 measurements of the intervals of changes in the subject's indicators in seconds (smoothing and scaling the data to the level of the base (analytical) period or the final (barrier) period).…”

Section: Discussionmentioning

confidence: 99%

Patient Flows, Patient Distribution Computations and Medicines Accounting in the Pharmacoeconomic Models Through Procurement Perspective

Yagudina

Kulikov

Serpik

et al. 2021

CEOR

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Purpose Stimulating cost reduction of pharmaceutical companies to optimize the structure of distribution of patients by the level of treatment costs in various programs. Patients and Methods In this article, we rise up the issues of pharmacoeconomic modeling related to the description of the patient flows in the pharmacoeconomic model and methods to determining the course dose of drugs under the restriction of integer computations. We established two possible ways of distributing patients through treatment regimens in pharmacoeconomic models, also analyzed the effects of simultaneous and uniform entry of patients into the model. Also, we considered the limitations and possibilities of calculations based on the active substance and packaging, as well as the transition factor of the remainder of the drug in the next time period. Results A mathematical model of the analysis of the system assessment of patients by the level of risk of abandoning a healthy lifestyle in connection with the growing problems of the difficult-to-control process is developed. The use of a rational data convolution mode allowed us to obtain a criterion for the optimality of the process and a logical point of stability of the pharmaceutical company by rationally applying treatment methods according to established standards (percentage base). This approach makes it possible to influence the management of private clinics through clear ideas on the algorithms for prescribing drugs in each group of patients and their zoning in the vector recovery mode. Conclusion Initial data and sample size: 552 measurements of the intervals of changes in the subject’s indicators in seconds (smoothing and scaling the data to the level of the base (analytical) period or the final (barrier) period). Regular use of this approach makes it possible to reserve the resources of the body of a healthy and physically active person in a timely manner for a very reliable functioning of all body systems, taking into account the dosed intake of prescribed drugs and the conditions of comfortable (decent) maintenance of patients during the course of treatment according to the method chosen by the doctor.

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Section: Discussionmentioning

confidence: 99%

Patient Flows, Patient Distribution Computations and Medicines Accounting in the Pharmacoeconomic Models Through Procurement Perspective

Yagudina

Kulikov

Serpik

et al. 2021

CEOR

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“…Such a solution to the problem of approximation modeling of a nonstationary noisy process is obtained in the work of [46]. The resulting solution is tested for evaluating the parameters of economic functions, for making informed decisions in the field of financial management, and for approximating non-standard, noisy and stepwise developing dynamic processes (demography, financial markets, medicine, mechanics, communications and telecommunications.…”

Section: Constraints Of Type Equalitymentioning

confidence: 99%

“…In [46], we propose a methodology for predicting the stabilization level of a chaotically developing system based on Minimax estimates of the model quality and the author's indicators of the instantaneous elasticity of the process, which allow us to judge the dynamics of the global trend.…”

Section: Constraints Of Type Equalitymentioning

confidence: 99%

Modeling Multivalued Dynamic Series of Financial Indexes on the Basis of Minimax Approximation

et al. 2022

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In this article, the problem of modeling a time series using the Minimax method is considered. The expediency of using Minimax to identify points of change in trends and the range of changes in the graphical figures of technical analysis is justified. Spline approximation of the dynamic process with range constraints was performed to improve the quality of the model. Investors are advised to refrain from making hasty decisions in favor of holding reliable shares (such as PJSC Novatek shares), rather than selling them. The purchase of new shares should be carefully analyzed. Through an approximation of the dynamic number of the applicable optimization problem of minimizing the maximum Hausdorff distances between the ranges of the dynamic series and the values of the approximating function, the applied approach can provide reliable justification for signals to buy shares. Energy policy occupies the highest place in the list of progress ratings according to news analytics of businesses related to the energy sector of the economy. At the same time, statistical indicators and technologies of expert developments in this field, including intellectual analysis, can become an important basis for the development of a robotic knowledge program in the field under study, an organic addition to which is the authors’ methodology of development in energy economics as in energy policy. This paper examines the model of approximation of the multivalued time series of PJSC Novatek, represented as a series of ranges of numerical values of the indicators of financial markets, with constraints on the approximating function. The authors consider it advisable for promising companies to apply this approach for successful long-term investment.

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“…Nevertheless, graphical methods are not subject to objective conclusions and might give rise to different interpretations and, fundamentally, are not quantifiable and, hence, not prone to be integrated in unmanned automation. There are a few quantifiers that support a more objective measure of chaos or random-like behaviors, and these are: entropy, Lyapunov exponent, fractal dimension, and correlation dimension [36,38,45,46]. These indicators are fundamental for an unbiased discussion regarding the importance of sensed data and their role in the development of condition monitoring systems being industrial, medical, or otherwise general systems using sensed data.…”

Section: Theoretical Background On Non-linear Indicatorsmentioning

confidence: 99%

The Deterministic Nature of Sensor-Based Information for Condition Monitoring of the Cutting Process

Silva

Araújo

2021

Machines

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Condition monitoring of the cutting process is a core function of autonomous machining and its success strongly relies on sensed data. Despite the enormous amount of research conducted so far into condition monitoring of the cutting process, there are still limitations given the complexity underlining tool wear; hence, a clearer understanding of sensed data and its dynamical behavior is fundamental to sustain the development of more robust condition monitoring systems. The dependence of these systems on acquired data is critical and determines the success of such systems. In this study, data is acquired from an experimental setup using some of the commonly used sensors for condition monitoring, reproducing realistic cutting operations, and then analyzed upon their deterministic nature using different techniques, such as the Lyapunov exponent, mutual information, attractor dimension, and recurrence plots. The overall results demonstrate the existence of low dimensional chaos in both new and worn tools, defining a deterministic nature of cutting dynamics and, hence, broadening the available approaches to tool wear monitoring based on the theory of chaos. In addition, recurrence plots depict a clear relationship to tool condition and may be quantified considering a two-dimensional structural measure, such as the semivariance. This exploratory study unveils the potential of non-linear dynamics indicators in validating information strength potentiating other uses and applications.

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Quantifying chaos of curvilinear beams via exponents

Cited by 10 publications

References 16 publications

Patient Flows, Patient Distribution Computations and Medicines Accounting in the Pharmacoeconomic Models Through Procurement Perspective

Patient Flows, Patient Distribution Computations and Medicines Accounting in the Pharmacoeconomic Models Through Procurement Perspective

Modeling Multivalued Dynamic Series of Financial Indexes on the Basis of Minimax Approximation

The Deterministic Nature of Sensor-Based Information for Condition Monitoring of the Cutting Process

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