Code C# for chaos analysis of relativistic many-body systems

Grossu, Ioan Valeriu; Beşliu, C.; Jipa, Al.; Bordeianu, Cristian C.; Felea, D.; Stan, E.; Eşanu, T.

doi:10.1016/j.cpc.2010.04.015

Cited by 5 publications

(12 citation statements)

References 9 publications

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“…As an alternative solution, we started from the idea that the effort of answering to the test is itself a small perturbation in evaluating one's own emotional mechanisms, resulting in different answers to equivalent questions. Thus, based on the Lyapunov Function method [20,23,24], we implemented the "instability coefficient", defined as the Euclidean distance between two vectors comprising similar and reverse items:…”

Section: Lyapunov Functionmentioning

confidence: 99%

Application of Chaos Theory in the Assessment of Emotional Vulnerability and Emotion Dysregulation in Adults

2020

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In this work, we propose an interdisciplinary chaos analysis of emotion dysregulation (ED) and emotional vulnerability in adults. One of the main goals was the assessment of incongruences that occur in the evaluation of one’s own emotional dysregulation mechanisms in the presence of an extremely weak stimulus (Butterfly Effect). Thus, we considered a “flavor” of the Lyapunov Function method based on the assumption that the effort of answering to the test is itself a small perturbation. In this context, we calculated the “instability coefficient” Δ defined as the Euclidean distance between the pairs of vectors that include similar and reverted items of a test. The relationship between Δ, ED, and emotional characteristics as quality (positive/negative) and type (trait/state) was highlighted. We hypothesized that a higher level of Δ should be significantly related with a higher ED and with the type and the quality of emotions. The results suggest that Δ is significantly correlated with trait emotions (positively with negative emotions, and negatively with positive ones) and with ED. Moreover, Δ significantly predicts ED in adults. Thus, we consider that this approach is promising with respect to the evolution of emotional mechanisms across time. The presence of an initial instability to a weak perturbation might predict future abnormal emotional functioning, which could put at risk the mental or psychosomatic systems.

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Section: Lyapunov Functionmentioning

confidence: 99%

Application of Chaos Theory in the Assessment of Emotional Vulnerability and Emotion Dysregulation in Adults

2020

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“…Considering also that the old CMBE version is using double precision, our choice is motivated by the fact that both the decimal and the BigDecimal data types are represented as base 10 numbers (the numerator and the denominator properties of BigDecimal structure are base 10 integers), while the double .Net data type is binary represented. Thus, in order to avoid any small precision loss resulted from converting decimal to double variables [4] we created also a decimal version of the data access layer module (Data.dll), which include all chaos analysis tools implemented in [1].…”

Section: Program Descriptionmentioning

confidence: 99%

“…

In this paper we present a C# 4.0 high precision framework for simulation of relativistic many-body systems. In order to benefit from the, previously developed, chaos analysis instruments, all new modules were integrated with Chaos Many-Body Engine [1,2]. As a direct application, we used 46 digits precision for analyzing the "Butterfly Effect" of the gravitational force in a specific relativistic nuclear collision toy-model.

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confidence: 99%

High precision framework for chaos many-body engine

Grossu

Beşliu

Felea

et al. 2014

Computer Physics Communications

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“…In Chaos Theory, the Butterfly Effect refers to a sensitive dependence on initial conditions, a very small change in the initial state being associated with large differences in later states [ 5 , 6 , 26 ]. The seemingly random system behaviors are the results of dynamics described by nonlinear differential or recurrence equations that could predict the system evolution in time [ 27 , 28 , 29 , 30 , 31 ]. In the emotional system, the Butterfly Effect can be applied as a low emotional stimulus in an initial state that can be associated with an important change in the system behavior over time [ 22 ].…”

Section: Introductionmentioning

confidence: 99%

“…The method, presented in one of our previous works [ 22 ], estimates the individual instability which occurs in the presence of a low disturbance, when the person evaluates his own emotional mechanisms. The method is based on monitoring the evolution in time of the distance between two identical systems with a small difference (perturbation) in the initial state [ 27 , 28 , 29 , 30 , 31 ]. The instability in evaluating one’s own emotional mechanisms in a past period of time was assessed by measuring and defining the “instability coefficient” Δ, the Euclidian distance between the vectors whose components are similar and reverted items of a test evaluating emotional mechanisms (Emotion Dysregulation Scale—DERS).…”

Section: Introductionmentioning

confidence: 99%

Emotional Dysregulation Mechanisms in Psychosomatic Chronic Diseases Revealed by the Instability Coefficient

2020

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In the present work, we analyzed some emotional mechanisms (emotion dysregulation—ED, negative affect—NA, and emotional vulnerability) involved in chronic diseases by means of an interdisciplinary approach. We started from the conceptualization of emotions as a complex dynamic system that can be investigated and understood within a framework inspired by Chaos Theory. An “instability coefficient” Δ was computed to analyze ED mechanisms, NA, and emotional vulnerability in different disease groups (blood cancer, breast cancer, hypertension) as well as in healthy persons. This coefficient, recently defined by our group, computes the Euclidian distance between the pairs of vectors whose components are similar or reverted items of a test measuring ED. The emotional and somatic systems were considered as two complex dynamical systems in interaction. Due to this interaction, and as a result of the laws of complexity, a small perturbation in an inner state of the emotional system could generate an important reaction in the somatic system in time. The emotional vulnerability reflected by high values of Δ was associated with the chronic disease condition. The differences between illness groups and healthy persons, as well as between the three disease groups in Δ values, were analyzed. The results showed that there were significant differences between the chronic disease groups in Δ values. The most highly significant differences in Δ values were reported between the breast cancer group and the healthy group on one hand and between the breast cancer group and the blood cancer group on the other hand. The less significant differences in Δ values were noticed between the hypertension group and the control group. Δ was significant in predicting ED and NA. Compared to the classical approaches, the original contribution of our research is that these results encourage us to propose this interdisciplinary method of assessment as a challenging, valid tool of investigation and understanding of complex phenomena that occur in the emotional and somatic system.

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Code C# for chaos analysis of relativistic many-body systems

Cited by 5 publications

References 9 publications

Application of Chaos Theory in the Assessment of Emotional Vulnerability and Emotion Dysregulation in Adults

Application of Chaos Theory in the Assessment of Emotional Vulnerability and Emotion Dysregulation in Adults

High precision framework for chaos many-body engine

Emotional Dysregulation Mechanisms in Psychosomatic Chronic Diseases Revealed by the Instability Coefficient

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