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Cusp Catastrophe Models and the Role of Synchrony in Cognitive Workload and Fatigue in Teams. 尖峰突变模型及其同动性在团队认知工作量和疲劳中的作用。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-07-01
Stephen J Guastello, Laura M McGuigan
{"title":"Cusp Catastrophe Models and the Role of Synchrony in Cognitive Workload and Fatigue in Teams.","authors":"Stephen J Guastello, Laura M McGuigan","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>This study evaluated autonomic synchrony and variability in synchrony as control variables in cusp catastrophe models of workload and fatigue for teams making dynamics decisions. In this experiment, 136 undergraduates were organized into 32 groups of three, four, and five members playing an online computer game while wearing electrodermal sensors. They also completed cognitive measures of elasticity-rigidity and situation awareness during the games. Synchrony was calculated using the SE coefficient from the driver-empath model. Analyses were constructed to determine whether SE or SE variability added value to the cusp catastrophe models for cognitive workload and fatigue that were determined previously in Guastello and McGuigan (2024). Results indicated that SE made a strong impact on changes in performance as a bifurcation variable in both the workload and fatigue models. The positive and negative impact on performance shown by SE variability suggested that team members were grappling with the best ways to coordinate with each other or that teams found an advantage to turning synchrony on and off. SE variability made a strong impact as a bifurcation variable in the workload load model, and a strong impact as a compensatory ability (asymmetry parameter) in the fatigue model. Practical implications are that synchrony could be functional or dysfunctional, depending on situational demands that could be momentary. The study opened new questions regarding the qualitative relationship between elasticity-rigidity variables and synchrony and the possible roles of strong vs. weak ties in a closed network of this type.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 3","pages":"395-430"},"PeriodicalIF":0.6,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144530313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Measuring Motivational Patterns: A Formal Approach of Conservation of Resources Theory. 测量动机模式：资源守恒理论的形式化方法。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-07-01
Jean-Pierre Neveu, Pascal Bégout
{"title":"Measuring Motivational Patterns: A Formal Approach of Conservation of Resources Theory.","authors":"Jean-Pierre Neveu, Pascal Bégout","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>The present research develops a formal mathematical model to measure individual motivation at work. Its mathematical specifications correspond to a formal translation of Conservation of Resources (COR) theory core assumptions. It explores how such COR constructs as resource caravan and resource passageway determine patterns of motivational processes. The model is applied to a sample of working professionals (n = 8) from different occupations. Data is obtained from a 5-item Likert-scale questionnaire based on the COR-Evaluation (COR-E) instrument developed by Hobfoll et al. (1992). Results are presented in the form of eight tables that correspond to eight different resource caravans. They unveil how individual motivational processes vary by the extent to which resources interact with an underlying drive for preservation. The role of context is also confirmed as a resource passageway. With regard to methodology, this research emphasizes how measurement based on mathematical modeling can be an alternative to standard data-analytic statistics. At a theory level, it enriches both COR-based literature and theory of workplace motivation. Practically, it provides an analytical instrument that details information on those processes that shape individual motivational profiles in organizations.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 3","pages":"431-451"},"PeriodicalIF":0.6,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144530315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Model of the Dynamics of Psychotherapy. 心理治疗动力学的数学模型。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-04-01
Magdalena Szafrańska-Łęczycka, Katarzyna Szymańska-Dębowska, Urszula Foryś
{"title":"Mathematical Model of the Dynamics of Psychotherapy.","authors":"Magdalena Szafrańska-Łęczycka, Katarzyna Szymańska-Dębowska, Urszula Foryś","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>In this paper we introduce a mathematical model of psychotherapy where the proposed continuous dynamical system describes the relationship between the client and the therapist based on dyadic interactions modeling. The model also incorporates the influence representing the external environment of the client's state. It was assumed that given that influence is negative. In order to reflect possible instability of the client's state, we describe the client who can demonstrate other mental comorbidities. Additionally, this assumption depicts the fact that his/her preferable state can be not unique. We analyse basic properties of the model and use it to study various scenarios of final results of psychotherapy.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"257-290"},"PeriodicalIF":0.6,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144041447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Analysis of a Two-Strain Host-Vector Dengue Model with Vertical Transmission. 垂直传播双菌株宿主-媒介登革热模型的数学分析。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-04-01
Marcin Choiński, Joanna Rencławowicz, Urszula Skwara
{"title":"Mathematical Analysis of a Two-Strain Host-Vector Dengue Model with Vertical Transmission.","authors":"Marcin Choiński, Joanna Rencławowicz, Urszula Skwara","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>In this article we model two-strain dynamics of dengue transmission by both mosquitoes and humans with vertical transmission to larvae in the mosquito population. We include secondary infections, causing a severe form of disease. Mathematical analysis of proposed model is conducted - we study existence and local stability of equilibria of the system. While analysing the model, unusual properties emerged which lead us to implement its simplifications and obtain different results. Theoretical outcomes are accomplished with numerical simulations. They suggest that vertical transmission has a negligible impact on the dengue spread.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"215-255"},"PeriodicalIF":0.6,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144006066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability Analysis and Optimal Control as Strategies Reducing Smokers in Model of Addicted Smoking with Incident Rate Holling Type Function. 具有发生率Holling型函数的吸烟成瘾模型的稳定性分析和最优控制策略。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-04-01
Ilham Syata, Syamsuddin Toaha, Firman Firman
{"title":"Stability Analysis and Optimal Control as Strategies Reducing Smokers in Model of Addicted Smoking with Incident Rate Holling Type Function.","authors":"Ilham Syata, Syamsuddin Toaha, Firman Firman","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>This article discusses the spreading model of addicted smoking involving five compartments, namely susceptible, addicted, temporary quitters, permanent quitters, and not interested in smoking. This model is expressed as a system of nonlinear ordinary differential equations. Parental guidance and anti-nicotine therapy are considered in the model as strategies to control and prevent the spread of addicted smoking. Addicted and non-addicted fixed points of the model are analyzed using linearization, eigenvalues, the Routh-Hurwitz test, and the basic reproduction number. Sensitivity analysis of the model parameters to the basic reproduction number was carried out to determine the influence of the parameters, and it was found that the transmission rate has a significant contribution to the spread of addicted smoking. The model with control is then related to the problem of minimizing the number of individuals addicted to smoking. By using the Pontryagin minimum principle, an optimal path is obtained that minimizes the number of individuals addicted to smoking in a specific time interval. The simulation used several assumptions and model parameter values estimated from actual data. From the optimal path with and without controls, it was found that both controls significantly reduced the number of individuals addicted to smoking.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"313-331"},"PeriodicalIF":0.6,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144050756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Artist Painter. 数学艺术家画家。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-04-01
Marek Berezowski
{"title":"Mathematical Artist Painter.","authors":"Marek Berezowski","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Using two different complex mathematical models, a number of fractal images with interesting aesthetic values were computer generated. Due to their similarity to real objects, they were given names. Both the state variables of individual models and the values of their Lyapunov exponents were used as a criterion for creating these images.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"333-342"},"PeriodicalIF":0.6,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144017514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaotic Dynamics in a Mathematical Model of Psychotherapy with Delayed Interaction Reaction. 具有延迟相互作用反应的心理治疗数学模型中的混沌动力学。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-04-01
Eduardo Rodriguez, Jose Alvarez-Ramirez, Gilberto Espinosa-Paredes
{"title":"Chaotic Dynamics in a Mathematical Model of Psychotherapy with Delayed Interaction Reaction.","authors":"Eduardo Rodriguez, Jose Alvarez-Ramirez, Gilberto Espinosa-Paredes","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Psychotherapy is a dynamic, two-person process involving the complex interplay between a client and therapist. Recent perspectives conceptualize psychotherapy as a complex dynamic system, integrating biological, psychological, and social factors. Research suggests that the psychotherapeutic process can be unpredictable, fluctuating, and erratic. To capture this complexity, mathematical models have been developed. One such model, a two-dimensional representation of psychotherapy timing and emotional valence, focuses on the valence (positive or negative emotional tone) of both client and therapist. Incorporating delayed reactions from both parties, the model employs delayed differential equations. This modification enables the emergence of complex dynamics, potentially exhibiting chaotic behavior characterized by a positive Lyapunov exponent. The interplay between delayed reactions and therapist distress of the client-therapist alliance drives these chaotic dynamics. Our findings have significant implications for understanding the psychotherapy process, highlighting the importance of temporal factors and therapeutic relationships.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"291-311"},"PeriodicalIF":0.6,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144054347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Introduction to Emergence in Social Systems. 社会系统涌现导论。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-01-01
James K Hazy, Benyamin Lichtenstein, Stephen J Guastello
{"title":"Introduction to Emergence in Social Systems.","authors":"James K Hazy, Benyamin Lichtenstein, Stephen J Guastello","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>The articles in this special issue examine the contributions of Jeffrey A. Goldstein to the understanding of emergence as a formal group of processes. Applications include work teams, organizations, ecologies of organizations, and societies. Prominent methodologies include agent-based modeling, qualitative analysis of publicly available business and governmental reports, structured analyses of team discussions, and nonlinear statistical analysis of time series data.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 1","pages":"1-4"},"PeriodicalIF":0.6,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142928294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Toward a Science of Emergence: Definitions, Prototypes, Principles and Applications. 走向涌现科学：定义、原型、原理和应用。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-01-01
Benyamin Lichtenstein
{"title":"Toward a Science of Emergence: Definitions, Prototypes, Principles and Applications.","authors":"Benyamin Lichtenstein","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Emergence as a phenomenon is embedded and expressed in the natural world, and in social systems. Introduced nearly 150 years ago in a philosophical context, it has since been applied in nearly every natural and social science. However all of these uses are not congruent, as the range of emergences in this Special Issue reflect as well; this has limited the accumulation of knowledge about emergence, as well as its development as a discipline. The present paper attempts to bring coherence to emergence, by identifying its core characteristics, its primary expressions, and key principles of emergence. Much of the effort is based on the work of Jeffrey Goldstein, who was one of the first to examine the conceptual, mathematical, and social implications of emergence. The article concludes by showing how a science of emergence can be usefully applied to leadership, and entrepreneurship.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 1","pages":"25-57"},"PeriodicalIF":0.6,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142928301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simultaneous Emergent Phenomena: Leadership and Team Synchrony. 同时涌现现象：领导与团队同步性。
IF 0.6 4区 心理学
Nonlinear Dynamics Psychology and Life Sciences Pub Date : 2025-01-01
Stephen J Guastello, Nicholas R Peters, Anthony F Peressini
{"title":"Simultaneous Emergent Phenomena: Leadership and Team Synchrony.","authors":"Stephen J Guastello, Nicholas R Peters, Anthony F Peressini","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Emergent phenomena exhibit interesting dynamics when considered individually. The present article examines two emergent processes that could be occurring simultaneously in an intense team interaction: the emergence of leaders and the emergence of autonomic synchrony within teams making dynamic decisions. In the framework of panarchy theory and related studies on complex systems, autonomic synchrony would be a fast dynamic that is shaped or controlled by leadership emergence, which is a slower dynamic. The present study outlines three distinct statistical distributions - the swallowtail catastrophe model for phase shifts, inverse power laws that indicate fractal processes, and lognormal distributions - that are known to characterize emergent processes of different types. The objective was to determine the extent to which the two emergent processes reflected the same dynamics. Research participants were 136 undergraduates who were organized into teams of three to five members playing the computer-game Counter-Strike while wearing GSR sensors to measure autonomic arousal levels in a steady stream. After approximately two hours of interaction, team members rated each other on leadership behaviors. Autonomic synchrony was analyzed as a driver-empath process that produced individual driver scores (the total influence of one person on the rest of the group) and empath scores (the total influence of the group on one person). Results showed that leadership emergence displayed the swallowtail configuration that was consistent with prior studies. Autonomic synchrony started as a simpler process and unfolded into a swallowtail catastrophe toward the end of the experimental session. Lognormal distributions were second-best representations of all variables. Inverse power laws were least descriptive of any of the research variables. The implications of the temporal dynamics of the co-emerging processes for training and team development are discussed.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 1","pages":"59-111"},"PeriodicalIF":0.6,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142928299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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