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21st International conference on Mechatronics-Mechatronika

作者： Margielewicz, Jerzy Gaska, Damian Haniszewski, Tomasz Bucki, Slawomir Silesian Tech Univ Fac Transport & Aviat Engn Katowice Poland

ISBN: (纸本)9798350394917;9798350394900

This paper presents some possible ways to analyze and the influence of nonlinear characteristics on the dynamics and effectiveness of energy harvesting systems. Examples of tools such as the Lyapunov exponent, Poincare sections, Impulse Excitation Diagram, and others are presented. Analysis of the impact of nonlinearity is helpful in designing and tuning such systems. In particular, the focus is on methods of imaging, describing and identifying chaotic and periodic motion zones and coexisting solutions.

关键词： energy harvesting nonlinear dynamics vibrations energy effectiveness chaos coexisting solutions

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A noise-robust approach to estimate dimension of sleep EEG in mice using permutation entropy

A noise-robust approach to estimate dimension of sleep EEG i...

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IEEE International conference on Fuzzy Systems (FUZZ-IEEE)

作者： Koyama, Kazuki Sakaguchi, Masanori Ohnishi, Takaaki Rikkyo Univ Grad Sch Artificial Intelligence & Sci Tokyo Japan Univ Tsukuba Int Inst Integrat Sleep Med WPI IIIS Ibaraki Japan

ISBN: (纸本)9798350319552;9798350319545

Generally, an electroencephalogram (EEG) follows nonlinear dynamics because it shows complex regularities. The analysis of nonlinear dynamics using the 'embedding' method requires the determination of parameters such as embedding dimension and time delay. However, we cannot obtain correct parameters from a conventional method, such as correlation integration, due to noise. Therefore, we use permutation entropy as a robust method against noise. This paper estimates the EEG parameters of mice during different sleep stages by using permutation entropy. The study results suggest that the embedding dimension and time delay are 5 and 8 ms, respectively, regardless of the sleep stage. Furthermore, we analyze the EEG of a sleeping mouse from the nonlinear dynamics. Permutation entropy can distinguish between rapid eye movement sleep and wakefulness, unlike linear methods such as power spectrum density.

关键词： nonlinear dynamics chaos permutation entropy complexity EEG

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Stochastic Power System Dynamic Simulation and Stability Assessment Considering dynamics From Correlated Loads and PVs

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IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS 2022年第6期58卷 7764-7775页

作者： Ye, Ketian Zhao, Junbo Duan, Nan Maldonado, Daniel Adrian Univ Connecticut Dept Elect & Comp Engn Storrs CT 06269 USA Lawrence Livermore Natl Lab Livermore CA 94550 USA Argonne Natl Lab Lemont IL 60439 USA

The integration of uncertain photovoltaics (PVs) and flexible loads leads to uncertainties in the power system dynamic simulation results. Furthermore, geographically close PV farms are correlated and may exhibit nonlinear correlations. This article proposes a copula-based sparse polynomial chaos expansion (PCE) framework for quantifying the impacts of uncertain dynamic PVs and loads on power system dynamic simulations and stability. The dynamics include both PV and load stochasticity and those governed by differential and algebraic equations. The copula statistics are utilized to accurately characterize the dependence structure of PVs and further used to develop the copula-PCE for quantifying the impacts of uncertain PVs and loads. A probabilistic TSI is also developed to assess the uncertainties from PVs and loads on the system stability. To address the cases, where both stable and unstable conditions coexist, a preprocessing step via sample classification is proposed. The effects of different dependence structures of PVs and different numbers of uncertain sources are investigated. Comparison results with other methods on the modified IEEE 39- and 118-bus systems, including the Monte Carlo method, Latin hypercube sampling, and traditional PCE without consideration of uncertain input correlations show that the proposed method is able to accurately quantify the uncertain dynamic simulations and transient system stability while being computationally efficient.

关键词： Copula statistics dynamic photovoltaics (PVs) nonlinear correlations polynomial chaos expansion power system dynamics uncertainty quantification

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Investigation of the Compass Biped Walker's Passive dynamics and Trajectory Tracking Method for chaos Control 6

Investigation of the Compass Biped Walker's Passive Dynamics...

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6th IEEE International conference on Advanced Systems and Emergent Technologies, IC_ASET 2023

作者： Added, Essia Gritli, Hassène Belghith, Safya Le Belvédère Tunis1002 Tunisia Higher Institute of Information and Communication Technologies University of Carthage Tunis Borj Cedria1164 Tunisia

ISBN: (纸本)9798350321029

The aim of this research is to manage the precise and rhythmic movements of a bipedal robot with a compass configuration as it undergoes a passive dynamic walk. To approximate the walking pattern of a biped robot, we implement an impulsive hybrid nonlinear system. To start with, we showcase the fact that a passive walk by a bipedal compass robot can exhibit unexpected behaviors like bifurcations and chaos with the aid of bifurcation diagrams. In order to suppress such complex nonlinear tendencies, we resort to two methods for regulating the bipedal compass-type robot and achieving a one-periodic gait. The control approach used in this study is based on the passive dynamic walking of the biped robot, and the objective is to follow the trajectory of the period-1 passive movement during the swing phase. © 2023 IEEE.

关键词： chaos control

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Convergence of Mean-field Langevin dynamics: Time-space discretization, stochastic gradient, and variance reduction 37

Convergence of Mean-field Langevin dynamics: Time-space disc...

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37th conference on Neural Information Processing Systems (NeurIPS)

作者： Suzuki, Taiji Wu, Denny Nitanda, Atsushi Univ Tokyo Tokyo Japan RIKEN AIP Tokyo Japan NYU New York NY 10003 USA Flatiron Inst New York NY USA Kyushu Inst Technol Kitakyushu Fukuoka Japan

ISBN: (纸本)9781713899921

The mean-field Langevin dynamics (MFLD) is a nonlinear generalization of the Langevin dynamics that incorporates a distribution-dependent drift, and it naturally arises from the optimization of two-layer neural networks via (noisy) gradient descent. Recent works have shown that MFLD globally minimizes an entropy-regularized convex functional in the space of measures. However, all prior analyses assumed the infinite-particle or continuous-time limit, and cannot handle stochastic gradient updates. We provide a general framework to prove a uniform-in-time propagation of chaos for MFLD that takes into account the errors due to finite-particle approximation, time-discretization, and stochastic gradient. To demonstrate the wide applicability of our framework, we establish quantitative convergence rate guarantees to the regularized global optimal solution for (i) a wide range of learning problems such as mean-field neural network and MMD minimization, and (ii) different gradient estimators including SGD and SVRG. Despite the generality of our results, we achieve an improved convergence rate in both the SGD and SVRG settings when specialized to the standard Langevin dynamics.

关键词： Gradient methods

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ANALYSIS AND EVALUATION OF PIECEWISE LINEAR SYSTEMS WITH COULOMB FRICTION USING A HYBRID SYMBOLIC-NUMERIC COMPUTATIONAL METHOD 17

ANALYSIS AND EVALUATION OF PIECEWISE LINEAR SYSTEMS WITH COU...

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ASME International Design Engineering Technical conferences / 42nd Annual Computers and Information in Engineering conference (IDETC-CIE) / 17th International conference on Multibody Systems, nonlinear dynamics, and Control (MSNDC)

作者： Shahhosseini, Amir Tien, Meng-Hsuan D'Souza, Kiran Ohio State Univ Dept Mech & Aerosp Engn Columbus OH 43235 USA Natl Tsing Hua Univ Dept Power Mech Engn Hsinchu 30013 Taiwan

ISBN: (纸本)9780791885468

A general formulation of piecewise linear systems with discontinuous force elements is provided in this paper. It has been demonstrated that this class of nonlinear systems is of great importance due to their ability to accurately model numerous scientific and engineering phenomena. Additionally, it is shown that this class of nonlinear systems can demonstrate a wide spectrum of nonlinear motions and in fact, the phenomenon of weak chaos is observed in a mechanical assembly for the first time. Despite such importance, efficient methods for fast and accurate evaluation of piecewise linear systems' responses are lacking and the methods of the literature are either incompatible, very slow, very inaccurate, or bear a combination of the aforementioned deficiencies. To overcome this shortcoming, a novel symbolic-numeric method is presented in this paper that is able to obtain the analytical response of piecewise linear systems with discontinuous elements in an efficient manner. Contrary to other efficient methods that are based on stationary steady state dynamics, this method will not experience failure upon the occurrence of complex motion and is able to capture the entirety of the dynamics.

关键词： Friction Coulombs Linear systems Computational methods dynamics (Mechanics) nonlinear systems chaos Failure Manufacturing Steady state

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nonlinear dynamics of Atomic and Molecular Systems in an Electromagnetic Field: Deterministic chaos and Strange Attractors 15th

Nonlinear Dynamics of Atomic and Molecular Systems in an Ele...

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15th International conference on Dynamical Systems: Theory and Applications, DSTA 2019

作者： Glushkov, Alexander V. Ignatenko, Anna V. Kuznetsova, Anna A. Bakunina, Elena V. Dykyi, Oleg V. Makarova, Alexandra O. Ternovsky, Eugeny V. Odessa State Environmental University Odessa Ukraine National University "Odessa Maritime Academy" Odessa Ukraine National University "Odessa Law Academy" Odessa Ukraine

ISBN: (纸本)9783030773090

We present a new mathematical approach to studying deterministic chaos and strange attractors in dynamics of nonlinear processes in atomic and molecular systems in an electromagnetic field. To treat chaotic dynamics of systems it is constructed effective scheme that includes new quantum-dynamic models (based on the finite-difference solution of the Schrödinger equation, optimized operator perturbation theory and realistic model potential for quantum systems) and advanced nonlinear analysis and a chaos theory methods such as power spectrum analysis, the correlation integral algorithm, the fractal method, the Lyapunov’s exponents and Kolmogorov entropy analysis, etc. Availability of multiple resonances with super little widths in spectrum of an atom in external magnetic field is treated and provided by interference phenomena and fluctuations. dynamics of resonances in spectrum of diatomic molecule in the infrared electromagnetic field is considered and the topological and dynamical invariants are recalculated. © 2021, Springer Nature Switzerland AG.

关键词： dynamics

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Investigation of the Compass Biped Walker's Passive dynamics and Trajectory Tracking Method for chaos Control

Investigation of the Compass Biped Walker's Passive Dynamics...

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International conference on Advanced Systems and Electric Technologies (IC_ASET)

作者： Essia Added Hassène Gritli Safya Belghith Laboratory of Robotics Informatics and Complex Systems (RISC Lab - LR16ES07) National Engineering School of Tunis University of Tunis El Manar Tunis Tunisia Higher Institute of Information and Communication Technologies University of Carthage Tunis Tunisia

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Graph-based Recurrence Quantification Analysis of EEG Spectral dynamics for Motor Imagery-based BCIs 43

Graph-based Recurrence Quantification Analysis of EEG Spectr...

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43rd Annual International conference of the IEEE-Engineering-in-Medicine-and-Biology-Society (IEEE EMBC)

作者： Hosni, Sarah M. Ismail Borgheai, Seyyed Bahram McLinden, John Zhu, Shaotong Huang, Xiaofei Ostadabbas, Sarah Shahriari, Yalda Univ Rhode Isl URI Dept Elect Comp & Biomed Engn Kingston RI 02881 USA Northeastern Univ Dept Elect & Comp Engn Boston MA 02115 USA

ISBN: (纸本)9781728111797

Despite continuous research, communication approaches based on brain-computer interfaces (BCIs) are not yet an efficient and reliable means that severely disabled patients can rely on. To date, most motor imagery (MI)-based BCI systems use conventional spectral analysis methods to extract discriminative features and classify the associated electroencephalogram (EEG)-based sensorimotor rhythms (SMR) dynamics that results in relatively low performance. In this study, we investigated the feasibility of using recurrence quantification analysis (RQA) and complex network theory graph-based feature extraction methods as a novel way to improve MI-BCIs performance. Rooted in chaos theory, these features explore the nonlinear dynamics underlying the MI neural responses as a new informative dimension in classifying MI. Method: EEG time series recorded from six healthy participants performing MI-Rest tasks were projected into multidimensional phase space trajectories in order to construct the corresponding recurrence plots (RPs). Eight nonlinear graph-based RQA features were extracted from the RPs then compared to the classical spectral features through a 5-fold nested cross-validation procedure for parameter optimization using a linear support vector machine (SVM) classifier. Results: nonlinear graph-based RQA features were able to improve the average performance of MI-BCI by 5.8% as compared to the classical features. Significance: These findings suggest that RQA and complex network analysis could represent new informative dimensions for nonlinear characteristics of EEG signals in order to enhance the MI-BCI performance.

关键词： Brain-computer interface (BCI) nonlinear dynamics Motor imagery (MI) Graph-based feature extraction Recurrence quantification analysis (RQA)

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Sensitive Chaotic Circuits with Coupled Inductances 10

Sensitive Chaotic Circuits with Coupled Inductances

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10th International conference on Modern Circuits and Systems Technologies (MOCAST)

作者： Karimov, Timur Druzhina, Olga Karimov, Artur Tutueva, Aleksandra Butusov, Denis St Petersburg Electrotech Univ LETI Youth Res Inst St Petersburg Russia St Petersburg Electrotech Univ LETI Dept Comp Aided Design St Petersburg Russia

ISBN: (纸本)9781665418478

Sensors with coupled inductive coils are used in many applications: for metal detection, for linear and angular displacements measurements, for magnetometry, etc. One of the promising ways to increase technical characteristics of these sensors, such as sensitivity, is the use of a chaotic oscillator to excite the transmitting coil and constructing the path from the receiving coil back to the oscillator. The paper proposes several topologies of sensor circuits with coupled inductances, a technique for including inductive coils in chaotic circuits with their minimal modification, and discusses methods for detecting the measurement signal. As a result, we designed a proximity sensor and shown its high performance in a numerical experiment.

关键词： chaos sensors magnetic field sensors metal detectors nonlinear dynamics

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