Chaos Solitons & Fractals最新文献

{"title":"Bifurcation analysis of mixed traffic system with different car-following modes and distributed PID control strategy based on particle swarm optimizer","authors":"Shu-Tong Wang,&nbsp;Wen-Xing Zhu","doi":"10.1016/j.chaos.2025.116068","DOIUrl":"10.1016/j.chaos.2025.116068","url":null,"abstract":"<div><div>This paper is committed to capturing the dynamical behaviors of the mixed traffic flow which is composed of human-driven vehicle (HDV) and connected autonomous vehicle (CAV), and exploring targeted control strategies to alleviate traffic congestion. Firstly, a novel car-following model is proposed for mixed traffic flow, which considers different car-following modes and functional degradation. Secondly, the bifurcation and stability analysis of proposed model are conducted to explore the occurrence of bifurcation in mixed traffic flow under different market penetration rate (MPR) of CAV and car-following mode ratio (CFR) of mixed flow, and numerical simulation is used to validate the conclusions of theoretical analysis. Thirdly, a modified distributed PID controller is proposed to suppress the bifurcation, and the particle swarm optimization (PSO) algorithm is used to optimize the control gains of the PID controller. The analysis results of controlled model verify the advantage of the controller, and the numerical simulation also confirms the conclusions. This paper can enrich the research on the characteristics of traffic flow, improve the theoretical basis of traffic control, and provide implications for traffic management.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116068"},"PeriodicalIF":5.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Proximal policy optimization approach to stabilize the chaotic food web system","authors":"Liang Xu ,&nbsp;Ru-Ru Ma ,&nbsp;Jie Wu ,&nbsp;Pengchun Rao","doi":"10.1016/j.chaos.2025.116033","DOIUrl":"10.1016/j.chaos.2025.116033","url":null,"abstract":"<div><div>Chaos phenomena can be observed extensively in many real-world scenarios, which usually presents a challenge to suppress those undesired behaviors. Unlike the traditional linear and nonlinear control methods, this study introduces a deep reinforcement learning (DRL)-based scheme to regulate chaotic food web system (FWS). Specifically, we utilize the proximal policy optimization (PPO) algorithm to train the agent model, which does not necessitate the prior knowledge of chaotic FWS. Experimental results demonstrate that the developed DRL-based control scheme can effectively guide the FWS toward a predetermined stable state. Furthermore, this investigation considers the influence of environmental noise on the chaotic FWS, and we obtain the important result that incorporating noise during the training process can enhance the controller’s robustness and system adaptability.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116033"},"PeriodicalIF":5.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Bidirectional long short-term memory attention neural network to estimate neural mass model parameters","authors":"Hao Zhang ,&nbsp;Changqing Yang ,&nbsp;Jingping Xu ,&nbsp;Guanli Yuan ,&nbsp;Xiaoli Li ,&nbsp;Guanghua Gu ,&nbsp;Dong Cui","doi":"10.1016/j.chaos.2025.116051","DOIUrl":"10.1016/j.chaos.2025.116051","url":null,"abstract":"<div><div>Mild Cognitive Impairment (MCI) is a precursor stage of Alzheimer's disease. The effective utilization of electroencephalography (EEG) in the analysis of neuronal populations through mathematical models of the brain is imperative for the study of the neurophysiological mechanisms underlying MCI. The research performs multi-parameter reverse identification of EEG in patients with MCI by combining the neural network model and the Jansen-Rit Neural Mass Model (J&amp;R model) and then studying the brain function problems of MCI patients. We proposed the Bidirectional Long Short-term Memory Attention (BiLSAT) model by integrating the Bidirectional Long Short-term Memory (BiLSTM) network with the Attention mechanism. The BiLSAT model is designed using an encoder-decoder architecture that combines the BiLSAT model with the J&amp;R model through a loss function. We compared the BiLSAT model and the Unscented Kalman Filter (UKF) algorithm through multi-parameter experiments. Degradation experiments demonstrated that the BiLSTM module and the Attention module enhance the performance of the BiLSAT model. The results of the multi-parameter experiments showed that the BiLSAT model demonstrates higher accuracy in multi-parameter identification compared to the UKF algorithm. We used the BilSAT model to estimate the parameters of the EEG data of the healthy elderly group and the MCI group. The results showed that the excitatory-inhibitory balance in the brains of patients with MCI was dysfunctional. In this study, a novel inverse identification method for the J&amp;R model is proposed. This method is intended to address the limitations of the conventional UKF algorithm, which has been observed to suffer from inaccurate multi-parameter identification. The proposed method offers a novel perspective for future research in this field.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116051"},"PeriodicalIF":5.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Forecasting chaotic time series: Comparative performance of LSTM-based and Transformer-based neural network","authors":"João Valle,&nbsp;Odemir Martinez Bruno","doi":"10.1016/j.chaos.2025.116034","DOIUrl":"10.1016/j.chaos.2025.116034","url":null,"abstract":"<div><div>The complexity and sensitivity to initial conditions are the main characteristics of chaotic dynamical systems, making long-term forecasting a significant challenge. Deep learning, however, is a powerful technique that can potentially improve forecasting in chaotic time series. In this study, we explored the performance of modern neural network architectures in forecasting chaotic time series with different Lyapunov exponents. To accomplish this, we created a robust dataset composed of chaotic orbits with Lyapunov exponents ranging from 0.019 to 1.253 and used state-of-the-art neural network models for time series forecasting, including recurrent-based and transformer-based architectures. Our results show that LSTNet presents the best results in one-step-ahead and the recursive one-step-ahead forecasting for the majority of the time series in our dataset, enabling the prediction of chaotic time series with high Lyapunov exponent. Additionally, we observed that the sensitivity to initial conditions and complexity still affects the performance of the neural networks, decaying predictive power in time series with larger Lyapunov exponent.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116034"},"PeriodicalIF":5.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical solutions to linear differential equations on unbounded domain based on ECNN","authors":"Hongli Sun ,&nbsp;Yanfei Lu","doi":"10.1016/j.chaos.2025.116015","DOIUrl":"10.1016/j.chaos.2025.116015","url":null,"abstract":"<div><div>In this paper, we propose a novel single-layer Exponential Chebyshev Neural Network (ECNN) designed to solve ordinary differential equations (ODEs) or systems of ODEs, as well as integro-differential equations (IDEs) or systems of IDEs, defined on infinite domains. We utilize the output of the ECNN as an approximate solution to the original equation and substitute it back into the equation. By employing the ELM (Extreme Learning Machine) algorithm for training, we are able to obtain optimal parameters, thereby deriving a closed-form approximate solution for the original equation. Through a series of numerical experiments, we have verified that the proposed method is both highly effective and robust.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116015"},"PeriodicalIF":5.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: Breakdown of a coexistence quasi-neutral curve","authors":"Oriol Llopis-Almela ,&nbsp;J. Tomás Lázaro ,&nbsp;Santiago F. Elena ,&nbsp;Josep Sardanyés","doi":"10.1016/j.chaos.2025.116037","DOIUrl":"10.1016/j.chaos.2025.116037","url":null,"abstract":"&lt;div&gt;&lt;div&gt;The dynamics of wild-type (wt) RNA viruses and their defective viral genomes (DVGs) have been extensively studied both experimentally and theoretically. This research has paid special attention to the interference effects of DVGs on wt accumulation, transmission, disease severity, and induction of immunological responses. This subject is currently a highly active and promising area of research since engineered versions of DVGs have been shown to act as antiviral agents. However, viral infections involving wt, DVGs, and other subviral genetic elements, like viral RNA satellites (satRNAs), have received scarce attention. Satellites are molecular parasites genetically different from the wt virus, which exploit the products of the latter for their own replication in as much as DVGs do, and thus they need to coinfect host cells along with the wt virus to complete their replication cycle. Despite satRNAs being very common, their dynamics co-infecting with wt viruses have been poorly investigated. Here, we analyze a mathematical model describing the initial replication phase of a wt virus producing DVGs and coinfecting with a satRNA. The model, which explicitly considers the viral RNA-dependent RNA polymerase produced by the wt virus, has three different dynamical regimes depending upon the wt replication rate (&lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;), the fraction of DVGs produced during replication (&lt;span&gt;&lt;math&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;), and the replication rate of the satRNA (&lt;span&gt;&lt;math&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;): (&lt;span&gt;&lt;math&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;) full extinction when &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;; (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;) a bistable regime with full coexistence governed by a quasi-neutral curve of equilibria and full extinction when &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;; and (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;) a scenario of bistability separating full extinction from wt-DVGs coexistence with no satRNA when &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. The transition from scenarios (&lt;span&gt;&lt;math&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;) to (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;) occurs through the creation and destruction of a quasi-neutral curve of equilibria in a global bifurcation that we name as &lt;em&gt;quasi-neutral nullcline confluence&lt;/em&gt; (QNC) bifurcation: at the bifurcation value, two nullcline hypersurfaces coincide, giving rise to the curve of equilibria. In agreement with previous research on global bifurcations tied to quasi-neutral manifolds, we have identified numerically and derived analytically scaling laws of the form &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;τ&lt;/mi&gt;&lt;mo&gt;∼","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116037"},"PeriodicalIF":5.3,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamics of certain localized waves in an erbium-doped fiber system with the quintic terms","authors":"Yuan Shen","doi":"10.1016/j.chaos.2024.115965","DOIUrl":"10.1016/j.chaos.2024.115965","url":null,"abstract":"<div><div>A higher-order nonlinear Schrödinger-Maxwell-Bloch system with the quintic terms is the main focus of this study. This system is able to provide an explanation for the ultra-short optical pulses that occur in an erbium-doped fiber. We formulate an <span><math><mi>N</mi></math></span>-fold generalized Darboux transformation (DT) using the limit approach, starting with an existing Lax pair and one-fold DT, where <span><math><mi>N</mi></math></span> is a positive integer. From this, we acquire the <span><math><mi>N</mi></math></span>th-order solutions for that system. We present the second-order degenerate soliton and breather by the application of the second-order solutions, discovering that the rogue waves with varying structures emerge in the interaction regions. The second-order rogue wave exhibiting triangular structure is obtained through the second-order solutions, while the third-order rogue waves featuring triangular and pentagonal structures are derived from the third-order solutions. We obtain the second-order and third-order mixed wave solutions by modifying that generalized DT. Interactions between the first-order rogue wave and first-order breather, as well as interactions between the second-order rogue wave and first-order breather, are derived, illustrating the generation of rogue waves with diverse structures. Furthermore, we provide the interaction between the first-order breather and second-order rogue wave exhibiting a triangular structure. The results of this study may potentially provide valuable insights for designing experiments with controlled initial conditions to excite the localized waves in optical fibers.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 115965"},"PeriodicalIF":5.3,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Limit cycles near a homoclinic loop in two classes of piecewise smooth near-Hamiltonian systems","authors":"Deyue Ma,&nbsp;Junmin Yang","doi":"10.1016/j.chaos.2025.116027","DOIUrl":"10.1016/j.chaos.2025.116027","url":null,"abstract":"<div><div>For two classes of piecewise smooth near-Hamiltonian systems, by studying some properties of the expansions of two Melnikov functions near a homoclinic loop, we give a simple relation between the coefficients of <span><math><mrow><msup><mrow><mi>h</mi></mrow><mrow><mi>j</mi></mrow></msup><mrow><mo>(</mo><mi>j</mi><mo>≥</mo><mn>0</mn><mo>,</mo><mi>j</mi><mo>∈</mo><mi>Z</mi><mo>)</mo></mrow></mrow></math></span> appearing in the two expansions. Based on this, we further give a general condition for each of the two systems to have as many as possible limit cycles near the homoclinic loop. Hence, by using the above main results and some techniques we obtain a lower bound of the maximum number of limit cycles near a homoclinic loop for each of two concrete systems with polynomial perturbations of degree <span><math><mi>n</mi></math></span> <!--> <!-->(<span><math><mrow><mi>n</mi><mo>≥</mo><mn>1</mn></mrow></math></span>).</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116027"},"PeriodicalIF":5.3,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Equalizing payoffs of a structured population in repeated Prisoner’s Dilemma game","authors":"Biheng Zhou ,&nbsp;Zhihai Rong ,&nbsp;Xiang Yu","doi":"10.1016/j.chaos.2025.116024","DOIUrl":"10.1016/j.chaos.2025.116024","url":null,"abstract":"<div><div>Through the zero-determinant theory in the infinite repeated Prisoner’s Dilemma game, this paper explores a novel method to equalize the average payoff of individuals in a regular graph, where individuals turn their strategies in terms of a uniform updating vector. Through designing three parameters about the transition probability for all defective state (starting point of the vector), the ratio coefficient and the probability difference, these elements in this strategy updating vector can form two arithmetic sequences respectively corresponding to focal cooperators and focal defectors, and the expected average payoff of population may fall into the region between mutual cooperation and mutual defection. Simulations in the ring with two degrees and the square lattice with four degrees validate the effectiveness of these theoretical results, and show the ratio coefficient can not only decide the converge rate, but also affect the divergence of individuals’ payoffs. This work may give some clues for designing protocols to adjust utility of structured populations in multi-agent systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116024"},"PeriodicalIF":5.3,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A neural network based Nipah virus model for healthcare disaster management","authors":"Alia Mohammed Almoajel","doi":"10.1016/j.chaos.2025.116055","DOIUrl":"10.1016/j.chaos.2025.116055","url":null,"abstract":"<div><div>The present investigations provide the solutions of the fractional order Nipah virus (NiV) model by using the stochastic computing neural network. This model has significant impacts on disaster management based on the accurate prediction, early warning system, resource allocation, and economic impact assessment. Fractional calculus is used to present more real results as compared to integer order derivatives. The NiV model is categorized into susceptible individuals, exposed individuals, infected individuals, risk population, quarantined individuals, and recovered individuals. By leveraging the fractional NiV model, the disaster management teams can better perform data-driven decisions, thus saving more lives by reducing the effects of virus outbreaks. The proposed single layer neural network stochastic scheme is implemented through the scale conjugate gradient as an optimization. Moreover, twenty numbers of neurons in the hidden layer, sigmoid activation function and the dataset is obtained through Adam scheme. By comparing the outcomes and employing certain statistical accomplishments, the reliability of the approach is demonstrated. The comparison of the results in good order as well as absolute error around 10⁻⁰⁴ to 10⁻⁰⁶ perform the reliability of the designed scheme. These simulated solutions based on the proposed scheme also support in the future by taking the real values of the health care-based systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"192 ","pages":"Article 116055"},"PeriodicalIF":5.3,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143061988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}