{"title":"Analysis and Synthesis in Information Processing and Knowledge Creation.","authors":"Leopoldo Trieste, Giuseppe Turchetti","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>This paper investigates the fate of original information after it is synthesized into knowledge, focusing on whether it becomes entangled within the integrated knowledge or if it is retained as isolated units in long-term memory. We explore two possibilities: either synthesized knowledge removes original information from memory, or both integrated and insulated information are stored once the information becomes part of knowledge. To address these questions, we simulate problem-solving processes over time. The simulation reveals how, once information is integrated into knowledge, it is removed as an insulated piece of information in the long-run memory. The process also shows a dynamic interplay between the creation and fragmentation of knowledge induced by synthetic and analytical skills. Furthermore, we examine whether the analytical-synthetic (A-S) process, as an autonomous system, tends to diverge or converge toward a steady state. We identify a stable stationary point in the process of knowledge creation and fragmentation. We also discuss how novelty can emerge exogenously (through errors) or endogenously and how it oscillates within the (A-S) process when heterogeneous information and knowledge are considered. Finally, we identify a chaotic transition in the way knowledge and theories compensate for reduced information.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 3","pages":"347-378"},"PeriodicalIF":0.6,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144530300","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}
{"title":"Do Seasonal Variations in Nature's Fractal Scenery Influence Mood?","authors":"Richard P Taylor, Richard York","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>We propose the novel hypothesis that Seasonal Affective Disorder (SAD), and seasonal mood variation more generally, may be influenced in part by how seasonal changes influence people's exposure to fractals in their environments - for example, due to changes in vegetation and cloud cover. This general hypothesis implies that seasonal mood variation may occur not only in high latitudes but also in tropical areas where wet-dry seasons alter the fractal character of the environment. Based on our general hypothesis, we develop a series of specific hypotheses about where seasonal mood variation may be most prevalent. We also discuss potential reasons for variation in mood across individuals and propose testable treatment options for those experiencing SAD.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 3","pages":"379-394"},"PeriodicalIF":0.6,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144530314","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}
{"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}
{"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}
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}
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}
{"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}
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}
{"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}
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}