Dynamics (Pembroke, Ont.)最新文献_第4页

Chaotic van der Pol Oscillator Control Algorithm Comparison 混沌范德波尔振荡器控制算法比较

Dynamics (Pembroke, Ont.) Pub Date : 2023-03-19 DOI: 10.3390/dynamics3010012

Lauren Ribordy, Timothy Sands

{"title":"Chaotic van der Pol Oscillator Control Algorithm Comparison","authors":"Lauren Ribordy, Timothy Sands","doi":"10.3390/dynamics3010012","DOIUrl":"https://doi.org/10.3390/dynamics3010012","url":null,"abstract":"The damped van der Pol oscillator is a chaotic non-linear system. Small perturbations in initial conditions may result in wildly different trajectories. Controlling, or forcing, the behavior of a van der Pol oscillator is difficult to achieve through traditional adaptive control methods. Connecting two van der Pol oscillators together where the output of one oscillator, the driver, drives the behavior of its partner, the responder, is a proven technique for controlling the van der Pol oscillator. Deterministic artificial intelligence is a feedforward and feedback control method that leverages the known physics of the van der Pol system to learn optimal system parameters for the forcing function. We assessed the performance of deterministic artificial intelligence employing three different online parameter estimation algorithms. Our evaluation criteria include mean absolute error between the target trajectory and the response oscillator trajectory over time. Two algorithms performed better than the benchmark with necessary discussion of the conditions under which they perform best. Recursive least squares with exponential forgetting had the lowest mean absolute error overall, with a 2.46% reduction in error compared to the baseline, feedforward without deterministic artificial intelligence. While least mean squares with normalized gradient adaptation had worse initial error in the first 10% of the simulation, after that point it exhibited consistently lower error. Over the last 90% of the simulation, deterministic artificial intelligence with least mean squares with normalized gradient adaptation achieved a 48.7% reduction in mean absolute error compared to baseline.","PeriodicalId":80276,"journal":{"name":"Dynamics (Pembroke, Ont.)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90296791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Existence for Nonlinear Fourth-Order Two-Point Boundary Value Problems 非线性四阶两点边值问题的存在性

Dynamics (Pembroke, Ont.) Pub Date : 2023-03-13 DOI: 10.3390/dynamics3010010

R. Agarwal, Gabriela Mihaylova, P. Kelevedjiev

引用次数: 1

Search for Damped Oscillating Structures from Charged Pion Electromagnetic Form Factor Data 从带电介子电磁形状因子数据中搜索阻尼振荡结构

Dynamics (Pembroke, Ont.) Pub Date : 2023-03-04 DOI: 10.3390/dynamics3010009

E. Bartoš, S. Dubnička, A. Dubničková

{"title":"Search for Damped Oscillating Structures from Charged Pion Electromagnetic Form Factor Data","authors":"E. Bartoš, S. Dubnička, A. Dubničková","doi":"10.3390/dynamics3010009","DOIUrl":"https://doi.org/10.3390/dynamics3010009","url":null,"abstract":"The damped oscillating structures recently revealed by a three parametric formula from the proton “effective” form factor data extracted of the measured total cross section σtotbare(e+e−→pp¯) still seem to have an unknown origin. The conjectures of their direct manifestation of the quark-gluon structure of the proton indicate that they are not specific only of the proton and neutron, but they have to be one’s own, similar to other hadrons. Therefore, the oscillatory structures from the charged pion electromagnetic form factor timelike data, extracted of the process e+e−→π+π− are investigated by using the same procedure as in the case of the proton. The analysis shows the appearance of the oscillating structures in the description of the charged pion electromagnetic form factor timelike data by three parametric formula with a rather large value of χ2/ndf, while the description of the data by the physically well-founded Unitary and Analytic model has not revealed any damped oscillating structures. From the obtained result on the most simple object of strong interactions, one can conclude that damped oscillating structures received from the “effective” proton form factor data are probably generated by a utilization of the improper three parametric formula which does not describe these data with sufficient precision.","PeriodicalId":80276,"journal":{"name":"Dynamics (Pembroke, Ont.)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83738584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Enhancing Bayesian Approaches in the Cognitive and Neural Sciences via Complex Dynamical Systems Theory 通过复杂动力系统理论增强认知和神经科学中的贝叶斯方法

Dynamics (Pembroke, Ont.) Pub Date : 2023-03-01 DOI: 10.3390/dynamics3010008

Luis H. Favela, M. J. Amon

{"title":"Enhancing Bayesian Approaches in the Cognitive and Neural Sciences via Complex Dynamical Systems Theory","authors":"Luis H. Favela, M. J. Amon","doi":"10.3390/dynamics3010008","DOIUrl":"https://doi.org/10.3390/dynamics3010008","url":null,"abstract":"In the cognitive and neural sciences, Bayesianism refers to a collection of concepts and methods stemming from various implementations of Bayes’ theorem, which is a formal way to calculate the conditional probability of a hypothesis being true based on prior expectations and updating priors in the face of errors. Bayes’ theorem has been fruitfully applied to describe and explain a wide range of cognitive and neural phenomena (e.g., visual perception and neural population activity) and is at the core of various theories (e.g., predictive processing). Despite these successes, we claim that Bayesianism has two interrelated shortcomings: its calculations and models are predominantly linear and noise is assumed to be random and unstructured versus deterministic. We outline ways that Bayesianism can address those shortcomings: first, by making more central the nonlinearities characteristic of biological cognitive systems, and second, by treating noise not as random and unstructured dynamics, but as the kind of structured nonlinearities of complex dynamical systems (e.g., chaos and fractals). We provide bistable visual percepts as an example of a real-world phenomenon that demonstrates the fruitfulness of integrating complex dynamical systems theory in Bayesian treatments of perception. Doing so facilitates a Bayesianism that is more capable of explaining a number of currently out-of-reach natural phenomena on their own, biologically realistic terms.","PeriodicalId":80276,"journal":{"name":"Dynamics (Pembroke, Ont.)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88702356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An Energy-Based Complex Brain Network Model—Part 1: Local Electrophysiological Dynamics 基于能量的复杂脑网络模型-第一部分:局部电生理动力学

Dynamics (Pembroke, Ont.) Pub Date : 2023-02-20 DOI: 10.3390/dynamics3010007

Chunbin Yang, N. Shettigar, C. Suh

引用次数: 0

Dark Energy as a Natural Property of Cosmic Polytropes—A Tutorial 暗能量作为宇宙多元体的自然属性-教程

Dynamics (Pembroke, Ont.) Pub Date : 2023-02-15 DOI: 10.3390/dynamics3010006

K. Kleidis, N. Spyrou

引用次数: 0

Complex Network Methods for Plastic Deformation Dynamics in Metals 金属塑性变形动力学的复杂网络方法

Dynamics (Pembroke, Ont.) Pub Date : 2023-01-30 DOI: 10.3390/dynamics3010004

A. Kiv, A. Bryukhanov, V. Soloviev, A. Bielinskyi, T. Kavetskyy, D.A. Dyachok, I. Donchev, V. Lukashin

引用次数: 0

Acknowledgment to the Reviewers of Dynamics in 2022 感谢《动力》杂志2022年的审稿人

Dynamics (Pembroke, Ont.) Pub Date : 2023-01-18 DOI: 10.3390/dynamics3010003

引用次数: 0

Dynamical Invariant for Dissipative Systems via Complex Quantum Hydrodynamics 耗散系统的复杂量子流体力学动力学不变量

Dynamics (Pembroke, Ont.) Pub Date : 2023-01-16 DOI: 10.3390/dynamics3010002

D. Schuch, M. Bonilla-Licea

引用次数: 0

Non-Equilibrium ϕ4 Theory in a Hierarchy: Towards Manipulating Holograms in Quantum Brain Dynamics 层次结构中的非平衡态ϕ4理论:在量子脑动力学中操纵全息图

Dynamics (Pembroke, Ont.) Pub Date : 2023-01-04 DOI: 10.3390/dynamics3010001

Akihiro Nishiyama, Shigenori Tanaka, Jack A. Tuszynski

{"title":"Non-Equilibrium ϕ4 Theory in a Hierarchy: Towards Manipulating Holograms in Quantum Brain Dynamics","authors":"Akihiro Nishiyama, Shigenori Tanaka, Jack A. Tuszynski","doi":"10.3390/dynamics3010001","DOIUrl":"https://doi.org/10.3390/dynamics3010001","url":null,"abstract":"We describe non-equilibrium ϕ4 theory in a hierarchical manner to develop a method for manipulating coherent fields as a toy model of introducing control into Quantum Field Theory (QFT) of the brain, which is called Quantum Brain Dynamics (QBD). We begin with the Lagrangian density of ϕ4 model, where we adopt 2-Particle-Irreducible (2PI) effective action, and derive the Klein–Gordon equation of coherent fields with a damping term as an input–output equation proposed in areas of morphological computation or reservoir computing. Our analysis is extended to QFT in a hierarchy representing multiple layers covering cortex in a brain. We find that the desired target function is achieved via time-evolution in the Klein–Gordon equations in a hierarchy of numerical simulations when a signal in both the input and output prevails over noise in the intermediate layers. Our approach will be applied to control coherent fields in the systems (in a hierarchy) described in the QFT framework, with potential applications allowing the manipulation of quantum fields, especially holograms in QBD. We could then provide realistic physical degrees of freedom of a light–matter system in the contexts of quantum cognition and the associated free-energy principle.","PeriodicalId":80276,"journal":{"name":"Dynamics (Pembroke, Ont.)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135405941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4