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Unstable periodic orbits and hyperchaos in 2D quadratic memristor map
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100193
Sishu Shankar Muni
{"title":"Unstable periodic orbits and hyperchaos in 2D quadratic memristor map","authors":"Sishu Shankar Muni","doi":"10.1016/j.fraope.2024.100193","DOIUrl":"10.1016/j.fraope.2024.100193","url":null,"abstract":"<div><div>This study explores the characteristics of the simplest invariant sets within a symmetric two-dimensional quadratic memristor map, exhibiting pinched hysteresis. Our analysis reveals critically stable fixed points within the map. Through computation of critical curves, we demonstrate the map’s non-invertibility and categorize it as type <span><math><mrow><msub><mrow><mi>Z</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>−</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span>. We observe that successive iterates of the critical curve delineate both disjoint and merged hyperchaotic attractors. Utilizing the usual period-doubling route, we establish the manifestation of hyperchaos within the map. Furthermore, employing a multi-dimensional Newton–Raphson method, we extend saddle periodic orbits to the realm of hyperchaos. Notably, our investigation, supported by eigenvalue computations, elucidates that most of the periodic orbits absorbed into the hyperchaotic attractor transform into repellers while the remaining periodic orbits are saddles representing unstable dimension variability (UDV).</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100193"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal tuning of PID controller for V/f control of linear induction motor using artificial biological intelligence
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100183
Vineet Shekher , Aayush Sisodiya , Ashutosh Kumar Sinha , Himanshu Harsh , Nirmala Soren
{"title":"Optimal tuning of PID controller for V/f control of linear induction motor using artificial biological intelligence","authors":"Vineet Shekher ,&nbsp;Aayush Sisodiya ,&nbsp;Ashutosh Kumar Sinha ,&nbsp;Himanshu Harsh ,&nbsp;Nirmala Soren","doi":"10.1016/j.fraope.2024.100183","DOIUrl":"10.1016/j.fraope.2024.100183","url":null,"abstract":"<div><div>In order to improve the performance of a Proportional-Integral-Derivative (PID) controller used in the control of Linear Induction Motor (LIM) V/f speed, this research presents a bio-inspired meta-heuristic soft computing approach. A PID controller specifically designed for the LIM system is described in detail, with a focus on how to optimize the controller using an evolutionary strategy that makes use of the Nutcracker Optimizer. Settling time, rise time, maximum overshoot, and ITAE (Integral-Time Absolute Error) are examples of transient response specifications that are achieved in MATLAB/Simulink by using a step input to the LIM and the optimal set of PID parameters chosen from the optimization. In order to determine the most effective technique for obtaining the optimum response in LIM, these outcomes are then contrasted with outcomes from other soft computing techniques.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100183"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Insights into brain network dynamics across ages using group-ICA functional parcellation
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100178
Lorena Malinalli López-Medina , Omar Paredes , Sorpresa Lora-Castro , Rebeca Romo-Vázquez , J. Alejandro Morales , Hugo Vélez-Pérez
{"title":"Insights into brain network dynamics across ages using group-ICA functional parcellation","authors":"Lorena Malinalli López-Medina ,&nbsp;Omar Paredes ,&nbsp;Sorpresa Lora-Castro ,&nbsp;Rebeca Romo-Vázquez ,&nbsp;J. Alejandro Morales ,&nbsp;Hugo Vélez-Pérez","doi":"10.1016/j.fraope.2024.100178","DOIUrl":"10.1016/j.fraope.2024.100178","url":null,"abstract":"<div><div>Aging is a natural and inevitable process in human life that involves changes in the brain. The brain becomes structurally, functionally, and interconnected differently. The evolution of brain activity and its anatomy follows separate paths, causing them to not always align. Independent Component Analysis (ICA), a Blind Source Separation (BSS) method, enables brain parcellation considering an individual's functional patterns. This is advantageous when studying brain function at different stages of life, allowing for a more comprehensive and flexible approach that accounts for age-related differences. This study aims to investigate the relationship between age and functional networks, exploring the differences in the functional parcellations of two different age groups and their networks. We propose a method utilizing group-ICA that identifies functional connectivity patterns to estimate coherent networks. We found variations in the distribution of the age-related networks and the brain portions they covered; some networks in old adults encompassed smaller areas in comparison to the networks in young adults.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100178"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Balanced truncation model reduction for laser heating wafer model in frequency restricted domain 限制频域激光加热晶圆模型的平衡截断模型简化
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100191
Md. Saiduzzaman , Md. Shafiqul Islam , Md. Sumon Hossain , M. Monir Uddin , Mohammad Osman Gani
{"title":"Balanced truncation model reduction for laser heating wafer model in frequency restricted domain","authors":"Md. Saiduzzaman ,&nbsp;Md. Shafiqul Islam ,&nbsp;Md. Sumon Hossain ,&nbsp;M. Monir Uddin ,&nbsp;Mohammad Osman Gani","doi":"10.1016/j.fraope.2024.100191","DOIUrl":"10.1016/j.fraope.2024.100191","url":null,"abstract":"<div><div>Modeling and simulating laser heating phenomena are crucial for optimizing manufacturing processes and ensuring high-quality final products. A major challenge in semiconductor manufacturing is achieving accurate, real-time temperature control during wafer heating. To reduce the computational burden of complex mathematical models, low-dimensional reduced models can be employed. In this paper, we develop a mathematical model for laser heating in silicon wafers. For model reduction, we use the balanced truncation method, considering both frequency-unrestricted and restricted cases. Additionally, the rational Krylov subspace method is applied to solve high-dimensional sparse matrix equations. To gain key physical insights, we use the COMSOL Multiphysics package. Finally, some numerical experiments are conducted using MATLAB to validate the proposed approach.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100191"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142743109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum to “Enhancing production inventory management for imperfect items using fuzzy optimization strategies and Differential Evolution (DE) algorithms” [Franklin Open Volume 5, December 2023, 10005]
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100123
Chinmay Saha , Dipak Kumar Jana , Avijit Duary
{"title":"Erratum to “Enhancing production inventory management for imperfect items using fuzzy optimization strategies and Differential Evolution (DE) algorithms” [Franklin Open Volume 5, December 2023, 10005]","authors":"Chinmay Saha ,&nbsp;Dipak Kumar Jana ,&nbsp;Avijit Duary","doi":"10.1016/j.fraope.2024.100123","DOIUrl":"10.1016/j.fraope.2024.100123","url":null,"abstract":"","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100123"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143096717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hue-preserving lightness and saturation modification in RGB color space for protanopia and deuteranopia
Franklin Open Pub Date : 2024-12-01 DOI: 10.1016/j.fraope.2024.100190
Ayaka Fujita , Mashiho Mukaida , Tadahiro Azetsu , Noriaki Suetake
{"title":"Hue-preserving lightness and saturation modification in RGB color space for protanopia and deuteranopia","authors":"Ayaka Fujita ,&nbsp;Mashiho Mukaida ,&nbsp;Tadahiro Azetsu ,&nbsp;Noriaki Suetake","doi":"10.1016/j.fraope.2024.100190","DOIUrl":"10.1016/j.fraope.2024.100190","url":null,"abstract":"<div><div>Colors are not seen in the same way among all people. For example, to dichromats such as protanope and deuteranope, red and green appear similar ochre-like colors. Therefore, it is difficult for dichromats to distinguish such color combinations. The purpose of this study is to propose a color conversion method that produces images that are easy for dichromats to discriminate colors, without significantly changing the impression of the original image for both dichromats and trichromats. The proposed method modifies the lightness of pixels to take into account colors that are difficult for dichromats to discriminate, thus enabling color discrimination. Furthermore, by also modifying the saturation of the pixels, the image quality degradation caused by overemphasis, which occurs when only modifying the lightness, is suppressed. To demonstrate the effectiveness of the proposed method, experiments using various images are conducted. From the resultant images, it can be confirmed that the proposed method achieves the color conversion that serves its purpose. The main results of quantitative evaluation are as follows. (1) In the index evaluating the degree of contrast improvement for colors which are difficult for dichromats to discriminate, the average value of the proposed method is about 0.84, and indicates that the proposed method is comparable to the conventional methods. (2) In the index represented by the ratio of the number of pixels clipped with white or black, the average of the proposed method is <span><math><mrow><mn>4</mn><mo>.</mo><mn>38</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow></math></span> and indicates that there are almost no clipped white and black pixels.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100190"},"PeriodicalIF":0.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fault-tolerant topology for single-phase H-bridge inverters addressing open- and short-circuit failures for industrial applications
Franklin Open Pub Date : 2024-11-26 DOI: 10.1016/j.fraope.2024.100189
Chouaib Djaghloul , Noman Khan , Khalil El Khamlichi Drissi , Kambiz Tehrani
{"title":"A fault-tolerant topology for single-phase H-bridge inverters addressing open- and short-circuit failures for industrial applications","authors":"Chouaib Djaghloul ,&nbsp;Noman Khan ,&nbsp;Khalil El Khamlichi Drissi ,&nbsp;Kambiz Tehrani","doi":"10.1016/j.fraope.2024.100189","DOIUrl":"10.1016/j.fraope.2024.100189","url":null,"abstract":"<div><div>This paper proposes a fault-tolerant topology for single-phase inverters, designed to sustain functionality following open- or short-circuit failures in one of its semiconductor switches. A simple approach is employed for the fault detection mechanism, using the load current, the switch current, and the switch gate voltage. Once a fault is detected and isolated, a redundant leg comprising two semi-conductors is connected to replace the faulty one after it has been eliminated using isolation relays. The effectiveness of this approach is validated through simulation using MATLAB Simulink, demonstrating both the speed and efficacy of the fault-tolerant topology in restoring normal operation post-fault occurrence.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"10 ","pages":"Article 100189"},"PeriodicalIF":0.0,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143101582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of heterogeneous linear and nonlinear car-following models 异质线性和非线性汽车跟随模型的稳定性
Franklin Open Pub Date : 2024-11-23 DOI: 10.1016/j.fraope.2024.100181
Matthias Ehrhardt , Antoine Tordeux
{"title":"Stability of heterogeneous linear and nonlinear car-following models","authors":"Matthias Ehrhardt ,&nbsp;Antoine Tordeux","doi":"10.1016/j.fraope.2024.100181","DOIUrl":"10.1016/j.fraope.2024.100181","url":null,"abstract":"<div><div>Stop-and-go waves in congested road traffic are complex collective phenomena with significant implications for traffic engineering, road safety and the environment. Despite decades of research, understanding and controlling these oscillatory dynamics remains challenging. This article examines two classes of heterogeneous car-following models with quenched disorder to shed light on the underlying mechanisms that drive traffic instability and stop-and-go dynamics. Specifically, a scaled heterogeneity model and an additive heterogeneity model are investigated, each of which affects the stability of linear and nonlinear car-following models differently. We derive general linear stability conditions that we apply to specific models and illustrate by simulation. The study provides insight into the role of individual heterogeneity in vehicle behaviour and its influence on traffic stability.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100181"},"PeriodicalIF":0.0,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142720166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new dynamic synchronization method to different random initial-times master-response real order systems 不同随机初始时间主响应实阶系统的新动态同步方法
Franklin Open Pub Date : 2024-11-23 DOI: 10.1016/j.fraope.2024.100188
Bichitra Kumar Lenka
{"title":"A new dynamic synchronization method to different random initial-times master-response real order systems","authors":"Bichitra Kumar Lenka","doi":"10.1016/j.fraope.2024.100188","DOIUrl":"10.1016/j.fraope.2024.100188","url":null,"abstract":"<div><div>Going beyond nonlinear master-response real-order systems with distinct random initial times has been a long-standing open problem, and it is not known how to synchronize dynamics between them. This article demonstrates memory chaos synchronization between two different real-order systems associated with distinct random initial times, employing a new method. A new dynamic equation with an external order subject to a designed nonlinear control law has been implemented to establish some new theoretical conditions that guarantee dynamic asymptotic synchronization, and Mittag-Leffler asymptotic synchronization is put forward. Random initial-time real-order Chua’s system and Li and Sprott systems are considered to illustrate the importance of the proposed method, including simulations.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100188"},"PeriodicalIF":0.0,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142720167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Event-triggered H∞ predictive control for networked control systems with sensor and actuator saturation 针对传感器和执行器饱和的联网控制系统的事件触发式 H∞ 预测控制
Franklin Open Pub Date : 2024-11-22 DOI: 10.1016/j.fraope.2024.100187
Peng Li , Shuang Ju
{"title":"Event-triggered H∞ predictive control for networked control systems with sensor and actuator saturation","authors":"Peng Li ,&nbsp;Shuang Ju","doi":"10.1016/j.fraope.2024.100187","DOIUrl":"10.1016/j.fraope.2024.100187","url":null,"abstract":"<div><div>This paper concerns an event-triggered <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> predictive control scheme for a networked control system in which sensor and actuator saturation as well as external disturbances are involved. In the scheme, a state estimator is firstly designed to acquire state estimations from the saturated output with measurement noises. An event generator is given to pick out necessary state estimations for saving feedback channel transmission resources. Furthermore, a buffer-based predictive controller is constructed to compensate for network-induced delays and lighten the communication burden of forward channel networks. Then a co-design criterion is shown to find estimator and controller parameters for the resulting closed-loop system with desired <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance. An inverted pendulum model is employed in numerical simulation to verify the proposed control scheme.</div></div>","PeriodicalId":100554,"journal":{"name":"Franklin Open","volume":"9 ","pages":"Article 100187"},"PeriodicalIF":0.0,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142720168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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