Nonlinear Dynamics最新文献

From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method.

IF 5.2 2区工程技术

Nonlinear Dynamics Pub Date : 2025-01-01 Epub Date: 2024-11-11 DOI: 10.1007/s11071-024-10522-0

Henrik T Sykora, Sandor Beregi

{"title":"From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method.","authors":"Henrik T Sykora, Sandor Beregi","doi":"10.1007/s11071-024-10522-0","DOIUrl":"10.1007/s11071-024-10522-0","url":null,"abstract":"Noise limits the information that can be experimentally extracted from dynamical systems. In this study, we review the Control-based Continuation (CBC) approach, which is commonly used for experimental characterisation of nonlinear systems with coexisting stable and unstable steady states. The CBC technique, however, uses a deterministic framework, whereas in practice, almost all measurements are subject to some level of random perturbation, and the underlying dynamical system is inherently noisy. In order to discover what the CBC is capable of extracting from inherently noisy experiments, we study the Hopf normal form with quintic terms with additive noise. The bifurcation diagram of the deterministic core of this system is well-known, therefore the discrepancies introduced by noise can be easily assessed. First, we utilise the Step-Matrix Multiplication based Path Integral (SMM-PI) method to approximate the system's steady state probability density function (PDF) for different intensity noise perturbations. We associate the local extrema of the resulting PDFs with limit cycles, and compare the resulting bifurcation diagram to those captured by CBC. We show that CBC estimates the bifurcation diagram of the noisy system well for noise intensities varying from small to moderate, and in practice, the amplitudes provided by CBC may be accepted as a 'best guess' proxy for the vibration amplitudes characteristic to the near periodic solutions in a wide range of experiments.","PeriodicalId":19723,"journal":{"name":"Nonlinear Dynamics","volume":"113 8","pages":"8249-8263"},"PeriodicalIF":5.2,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11919953/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143670558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical solution of a microrobot-blood vessel interaction model. 微型机器人与血管相互作用模型的解析解。

IF 5.2 2区工程技术

Nonlinear Dynamics Pub Date : 2025-01-01 Epub Date: 2024-10-14 DOI: 10.1007/s11071-024-10318-2

Gengxiang Wang, Andrew Bickerdike, Yang Liu, Antoine Ferreira

{"title":"Analytical solution of a microrobot-blood vessel interaction model.","authors":"Gengxiang Wang, Andrew Bickerdike, Yang Liu, Antoine Ferreira","doi":"10.1007/s11071-024-10318-2","DOIUrl":"10.1007/s11071-024-10318-2","url":null,"abstract":"This study develops a dynamics model of a microrobot vibrating in a blood vessel aiming to detect potential cancer metastasis. We derive an analytical solution for microrobot's motion, considering interactions with the vessel walls modelled by a linear spring-dashpot and a constant damping value for blood viscosity. The model facilitates instantaneous state transitions of the microrobot, such as contact with the vessel wall and free motion within the fluid. Amplitudes and phase angles from the transient solutions of dynamics model of the microrobot are solved at arbitrary moments, providing insights into its transient dynamics. The analytical solution of the proposed system is validated by experimental data, serving as a benchmark to examine the influence of pertinent parameters on microrobot's dynamic response. It is found that the contact force transmitted to the vessel wall, assessed by system's transmissibility function dependent on damping and frequency ratios, decreases with increasing damping ratio and intensifies when the frequency ratio is below <math><msqrt><mn>2</mn></msqrt> </math> . At the frequency ratio is equal to 1, resonance phenomenon is dominated by the magnification factor linked to the damping ratio, increasing the amplitude of resonance as damping decreases. Finally, different sets of system parameters, including excitation frequency and magnitude, fluid damping, vessel wall's stiffness and damping, reveal multi-periodic motions and fake collision of the microrobot with the vessel wall. Simulation results imply that these phenomena are minimally affected by vessel wall's stiffness but are significantly influenced by other parameters, such as fluid damping coefficient and damping coefficient of the blood vessel wall. This research provides a robust theoretical foundation for developing control strategies for microrobots aimed at detecting cancer metastasis.","PeriodicalId":19723,"journal":{"name":"Nonlinear Dynamics","volume":"113 3","pages":"2091-2109"},"PeriodicalIF":5.2,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11638467/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142829505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics of the vibro-impact capsule robot with a von Mises truss.

IF 5.2 2区工程技术

Nonlinear Dynamics Pub Date : 2025-01-01 Epub Date: 2024-12-08 DOI: 10.1007/s11071-024-10653-4

Yao Yan, Joseph Páez Chávez, Jiajia Shen, Yang Liu

{"title":"Dynamics of the vibro-impact capsule robot with a von Mises truss.","authors":"Yao Yan, Joseph Páez Chávez, Jiajia Shen, Yang Liu","doi":"10.1007/s11071-024-10653-4","DOIUrl":"10.1007/s11071-024-10653-4","url":null,"abstract":"Functionalised nonlinear structures employing structural instabilities for rapid response shape-shifting are emerging technologies with a wide range of potential applications. The von Mises truss is a widely employed model for such functionalised nonlinear structures; however, few studies have delved into its functionality when integrated with a complex dynamical system. This paper investigates its efficacy on enhancing the progression speed of a vibration-driven robot, known as the vibro-impact capsule robot, which is a piecewise-smooth dynamical system having abundant coexisting attractors. Bifurcation analysis of the capsule robot integrated with a von Mises truss is conducted for this purpose. Our numerical studies focus on the influence of the frequency and amplitude of the robot's driving force on its progression. Specifically, we compare the periodic responses of both the capsule robots with and without the von Mises truss, utilising the numerical continuation techniques for piecewise-smooth dynamical systems. Our studies confirm the advantage of using the von Mises truss when the driving force of the robot is significantly small. Additionally, we identify an optimal operational regime on the amplitude-frequency control plane, where the maximum robot speed is achieved for a given amount of power consumption. The numerical studies presented in this work provide a promising indication of the advantages offered by the von Mises truss for vibration-driven robots. This research underscores the significant potential of functionalised nonlinear structures to enhance the efficiency of small-scale robots operating under power limitations.","PeriodicalId":19723,"journal":{"name":"Nonlinear Dynamics","volume":"113 10","pages":"11047-11067"},"PeriodicalIF":5.2,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11937207/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143730619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Novel efficient reservoir computing methodologies for regular and irregular time series classification. 一种新的高效储层计算方法，用于规则和不规则时间序列分类。

IF 5.2 2区工程技术

Nonlinear Dynamics Pub Date : 2025-01-01 Epub Date: 2024-09-06 DOI: 10.1007/s11071-024-10244-3

Zonglun Li, Andrey Andreev, Alexander Hramov, Oleg Blyuss, Alexey Zaikin

{"title":"Novel efficient reservoir computing methodologies for regular and irregular time series classification.","authors":"Zonglun Li, Andrey Andreev, Alexander Hramov, Oleg Blyuss, Alexey Zaikin","doi":"10.1007/s11071-024-10244-3","DOIUrl":"10.1007/s11071-024-10244-3","url":null,"abstract":"Time series is a data structure prevalent in a wide range of fields such as healthcare, finance and meteorology. It goes without saying that analyzing time series data holds the key to gaining insight into our day-to-day observations. Among the vast spectrum of time series analysis, time series classification offers the unique opportunity to classify the sequences into their respective categories for the sake of automated detection. To this end, two types of mainstream approaches, recurrent neural networks and distance-based methods, have been commonly employed to address this specific problem. Despite their enormous success, methods like Long Short-Term Memory networks typically require high computational resources. It is largely as a consequence of the nature of backpropagation, driving the search for some backpropagation-free alternatives. Reservoir computing is an instance of recurrent neural networks that is known for its efficiency in processing time series sequences. Therefore, in this article, we will develop two reservoir computing based methods that can effectively deal with regular and irregular time series with minimal computational cost, both while achieving a desirable level of classification accuracy.","PeriodicalId":19723,"journal":{"name":"Nonlinear Dynamics","volume":"113 5","pages":"4045-4062"},"PeriodicalIF":5.2,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11732944/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143009423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Oral Manifestation of Viral-Induced Erythema Multiforme Major: A Rare Presentation. 病毒诱发的大面积红斑的口腔表现：一种罕见的表现

IF 5.2 2区工程技术

Nonlinear Dynamics Pub Date : 2024-02-01 Epub Date: 2023-09-01 DOI: 10.1007/s12070-023-04195-1

T Jeyanthikumari, B Thayumanavan, Khadijah Mohideen, S Vinayakam, Snehashish Ghosh, Safal Dhungel

引用次数: 0

Lyapunov functions and regions of attraction for spherically constrained relative orbital motion 球约束相对轨道运动的李亚普诺夫函数和吸引区域

IF 5.6 2区工程技术

Nonlinear Dynamics Pub Date : 2024-01-11 DOI: 10.1007/s11071-023-09197-w

Nathaniel T. Woodford, Matthew W. Harris