José Javier Reyes-Lagos, Hugo Mendieta-Zerón, Migdania Martínez-Madrigal, Juan Carlos Santiago-Nuñez, Luis Emilio Reyes-Mendoza, Ximena Gonzalez-Reyes, Juan Carlos Echeverría, Eric Alonso Abarca-Castro, Ana Karen Talavera-Peña, Sara Avilés-Hernández, Claudia Lerma
{"title":"Response to music on the nonlinear dynamics of human fetal heart rate fluctuations: A recurrence plot analysis.","authors":"José Javier Reyes-Lagos, Hugo Mendieta-Zerón, Migdania Martínez-Madrigal, Juan Carlos Santiago-Nuñez, Luis Emilio Reyes-Mendoza, Ximena Gonzalez-Reyes, Juan Carlos Echeverría, Eric Alonso Abarca-Castro, Ana Karen Talavera-Peña, Sara Avilés-Hernández, Claudia Lerma","doi":"10.1063/5.0236416","DOIUrl":"https://doi.org/10.1063/5.0236416","url":null,"abstract":"<p><p>Music has been shown to influence physiological functions in humans, but its effects on fetal heart rate variability (fHRV) are not well understood. This study aimed to assess the response of classical music exposure on the nonlinear behavior of fetal heart rate fluctuations in fetuses between 32 and 40 weeks of gestation using recurrence quantification analysis (RQA). We collected R-R time series from 37 fetuses in the third trimester following a study into four stages: PRE (baseline), STIM1 (first musical piece), STIM2 (second musical piece), and POST (post-exposure). The fetal R-R time series from each stage were evaluated using RQA indices such as determinism (DET), average diagonal line length (L), maximum line length (LMAX), entropy (ENTR), and trapping time (TT), as well as conventional linear indices like SDRR (standard deviation of R-R intervals). Results revealed three main points. First, there was an increase in DET, L, LMAX, and TT, with a decrease in ENTR in the POST stage compared to PRE, indicating more regular and predictable patterns. Second, the STIM2 stage enhanced the predictability and stability of cardiac dynamics compared to PRE, as indicated by L, LMAX, and TT. Third, no significant changes were observed in conventional indices, except for an increase in SDRR in the POST stage compared to STIM1. These findings suggest a reduction in complexity and nonlinear behavior of fHRV patterns after musical stimulus. The increase in SDRR during the POST stage appears to coincide with fetal movements, as indicated by the number of fetal accelerations found.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143188409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of predatory effect on saturated plant-pollinator mutualistic relationship.","authors":"Arpita Biswas, Rakesh Medda, Samares Pal","doi":"10.1063/5.0233838","DOIUrl":"10.1063/5.0233838","url":null,"abstract":"<p><p>In the realm of pollinator declination, understanding the dynamics of plant-pollinator interactions is a critical area of research to maintain healthy ecosystems. This study employs a mathematical modeling approach to investigate the dynamics of a saturated plant-pollinator mutualism, particularly aiming on the effect of predation on pollinator species. Using dynamical system theory, stability analysis of various ecological equilibria is investigated, and bifurcation phenomena such as transcritical and hopf are revealed. Furthermore, numerical results suggest that higher initial predator density can lead to pollinator extinction, although the predator population may not survive eventually. However, increased mutualistic strengths along with reduced predation rate can promote stability and support the sustainability of the plant-pollinator-predator ecosystem. These findings can be helpful for conservation strategies aimed at preserving pollinators and enhancing biodiversity.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143122340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"One-dimensional invariant measure in periodicity hubs: A tribute to Professor Jason A. C. Gallas.","authors":"R B do Carmo, J R Rios Leite, F M de Aguiar","doi":"10.1063/5.0239023","DOIUrl":"https://doi.org/10.1063/5.0239023","url":null,"abstract":"<p><p>Chaotic behavior near a periodicity hub is characterized in five different three-dimensional systems, namely, the paradigmatic Rössler system, the Rosenzweig-MacArthur predator-prey model, a semiconductor laser model, the Gaspard-Nicolis chemical oscillator, and the Nishio-Inaba electronic circuit. Return maps of local maxima for a selected dynamical variable in each system were extracted from numerical solutions. By rescaling the data and assuming full ergodicity in the unit interval, we show that excellent fits to the ubiquitously U-shaped invariant densities are obtained with weighted combinations of the beta and Kumaraswamy distributions.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143122383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mostafa Honari-Latifpour, Jiajie Ding, Igor Belykh, Mohammad-Ali Miri
{"title":"Spectral principle for frequency synchronization in repulsive laser networks and beyond.","authors":"Mostafa Honari-Latifpour, Jiajie Ding, Igor Belykh, Mohammad-Ali Miri","doi":"10.1063/5.0251322","DOIUrl":"https://doi.org/10.1063/5.0251322","url":null,"abstract":"<p><p>Network synchronization of lasers is critical for achieving high-power outputs and enabling effective optical computing. However, the role of network topology in frequency synchronization of optical oscillators and lasers remains not well understood. Here, we report our significant progress toward solving this critical problem for networks of heterogeneous laser model oscillators with repulsive coupling. We discover a general approximate principle for predicting the onset of frequency synchronization from the spectral knowledge of a complex matrix representing a combination of the signless Laplacian induced by repulsive coupling and a matrix associated with intrinsic frequency detuning. We show that the gap between the two smallest eigenvalues of the complex matrix generally controls the coupling threshold for frequency synchronization. In stark contrast with attractive networks, we demonstrate that local rings and all-to-all networks prevent frequency synchronization, whereas full bipartite networks have optimal synchronization properties. Beyond laser models, we show that, with a few exceptions, the spectral principle can be applied to repulsive Kuramoto networks. Our results provide guidelines for optimal designs of scalable optical oscillator networks capable of achieving reliable frequency synchronization.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143122401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Influences of individual interaction validity on coupling propagation of information and disease in a two-layer higher-order network.","authors":"Ming Li, Liang'an Huo","doi":"10.1063/5.0253301","DOIUrl":"https://doi.org/10.1063/5.0253301","url":null,"abstract":"<p><p>All complex phenomena in complex systems arise from individual interactions, which include pairs and higher-order forms. Research indicates that various physical and mental factors can impact the validity of these interactions, potentially preventing diffusion phenomena. This paper explores the influences of the interaction validity on coupling propagation of information and disease in a two-layer higher-order network. Interaction validity is defined using a threshold function based on the individual activity level. The dynamic evolution equations of the nodes are derived by using the microscopic Markov chain approach, and the transmission threshold of the disease is determined. Extensive numerical simulations on both artificial and real-world networks reveal that higher-order interactions significantly enhance the diffusion of disease and related information. Reducing individual activity levels diminishes interaction validity, thereby restricting disease transmission. Moreover, optimizing disease control can be achieved by increasing public activity in virtual social networks while reducing it in physical contact networks. Strengthening interlayer coupling enhances self-protective measures, thus amplifying the suppression of disease by information.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143499596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Evolution of cooperation under threshold public goods game.","authors":"Liyan Gao, Qiuhui Pan, Mingfeng He","doi":"10.1063/5.0256927","DOIUrl":"https://doi.org/10.1063/5.0256927","url":null,"abstract":"<p><p>When the number of cooperators does not reach the collective target, resulting in the collective risk social dilemma, the self-organizing behavior of the group leads to the loss of collective interest and the government intervention leads to the increase of collective interest. For these two situations, we study the evolution of cooperation under threshold public goods game in well-mixed population. The results show that the introduction of the threshold makes it possible to generate complex dynamics with two interior equilibria in the replication equation. For self-organizing behavior, increasing the threshold is a double-edged sword. Although raising the threshold may increase the level of cooperation, the risk of dominance of defection also increases. For government intervention behavior, increasing the threshold significantly promotes cooperation. The common result is that individuals tend to free-ride when the group size increases. In addition, the greater the impact of the two behaviors on collective interest, the more conducive to promoting cooperation. When there are fewer initial cooperators, the government should intervene in time to generate cooperation. When there are more initial cooperators, self-organizing behavior is more conducive to attracting cooperators than government intervention. We hope that the model and results proposed in this paper can contribute to addressing the challenges posed by global issues such as climate change and the degradation of the ecological environment.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143390319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Diogo Ricardo da Costa, Luam Silva de Paiva, Julia G S Rocha, Joelson D V Hermes, Matheus Hansen, Ricardo Luiz Viana, Iberê Luiz Caldas, Rene O Medrano-T
{"title":"A recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings.","authors":"Diogo Ricardo da Costa, Luam Silva de Paiva, Julia G S Rocha, Joelson D V Hermes, Matheus Hansen, Ricardo Luiz Viana, Iberê Luiz Caldas, Rene O Medrano-T","doi":"10.1063/5.0239022","DOIUrl":"https://doi.org/10.1063/5.0239022","url":null,"abstract":"<p><p>This paper presents a recursive method for identifying extreme and superstable curves in the parameter space of dissipative one-dimensional maps. The method begins by constructing an Archimedean spiral with a constant arc length. Subsequently, it identifies extreme and superstable curves by calculating an observable ψ. The spiral is used to locate a region where ψ changes sign. When this occurs, a bisection method is applied to determine the first point on the desired superstable or extreme curve. Once the initial direction is established, the recursive method identifies subsequent points using an additional bisection method, iterating the process until the stopping conditions are met. The logistic-Gauss map demonstrates each step of the method, as it exhibits a wide variety of periodicity structures in the parameter space, including cyclic extreme and superstable curves, which contribute to the formation of period-adding structures. Examples of extreme and superstable curves obtained by the recursive method are presented. It is important to note that the proposed method is generalizable and can be adapted to any one-dimensional map.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143439870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantifying tipping behavior: Geometric early warnings and quasipotentials for a box model of AMOC.","authors":"Ruth R Chapman, Peter Ashwin, Richard A Wood","doi":"10.1063/5.0240959","DOIUrl":"https://doi.org/10.1063/5.0240959","url":null,"abstract":"<p><p>A non-autonomous system can undergo a rapid change of state in response to a small or slow change in forcing, due to the presence of nonlinear processes that give rise to critical transitions or tipping points. Such transitions are thought possible in various subsystems (tipping elements) of the Earth's climate system. The Atlantic Meridional Overturning Circulation (AMOC) is considered a particular tipping element where models of varying complexity have shown the potential for bi-stability and tipping. We consider both transient and stochastic forcing of a simple but data-adapted model of the AMOC. We propose and test a geometric early warning signal to predict whether tipping will occur for large transient forcing, based on the dynamics near an edge state. For stochastic forcing, we quantify mean times between noise-induced tipping in the presence of stochastic forcing using an Ordered Line Integral Method of Cameron (2017) to estimate the quasipotential. We calculate minimum action paths between stable states for various scenarios. Finally, we discuss the problem of finding early warnings in the presence of both transient and stochastic forcing.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143499530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phase-locking characteristics and dynamics of the subharmonic entrainment of breathing temporal solitons.","authors":"Heng Dong, Xiankun Yao, Qian Zhang","doi":"10.1063/5.0229600","DOIUrl":"https://doi.org/10.1063/5.0229600","url":null,"abstract":"<p><p>Subharmonic entrainment (SHE) of the breathing solitons, an intriguing resonance phenomenon, arises from frequency locking between the breathing frequency and the cavity repetition frequency. This study investigates the phase-locking characteristics and dynamics of the SHE of breathing temporal cavity solitons. We reveal that the breathing solitons arise from the periodic enhancement and depletion of coherence between solitons and pump light, achieving SHE locking across various periods within the stringent parameter ranges of driving intensity, detuning, and cavity finesse. Furthermore, we summarize the excitation condition of SHE within the phase-locking region, enhancing the understanding of the dynamics of SHE. Our research could provide valuable insights into the generation and regulation of SHE.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143467076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The role of coupling and external current in two coupled Hodgkin-Huxley neurons.","authors":"T Bogatenko, K Sergeev, G Strelkova","doi":"10.1063/5.0243433","DOIUrl":"https://doi.org/10.1063/5.0243433","url":null,"abstract":"<p><p>This research studies the properties of two coupled Hodgkin-Huxley neurons. The influence of coupling strength as well as individual parameters of the neurons (i.e., initial conditions and external current values) have been studied. A Pearson correlation coefficient is used to estimate the synchrony degree between the neurons. It was found that the two neurons can be synchronized fairly easily in different regimes based on the combination of parameters: for some cases, the neurons are synchronous in a self-oscillating regime, but for other combinations, a single-spike regime becomes prevalent. It was also discovered that the synchronization regime can be controlled both by the external current value of each neuron and the coupling strength value. The obtained results can be profitable for future research of complex networks of artificial neurons.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143467093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}