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检索条件"任意字段=Conference on Chaos/Nonlinear Dynamics: Methods and Commercialization"

共 264 条记录，以下是61-70 订阅

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nonlinear Dynamic Behavior, Deterministic chaos and nonlinear Control of a Micro Electro Mechanical Actuator System(MEMS)

Nonlinear Dynamic Behavior, Deterministic Chaos and Nonlinea...

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2015 4th International conference on Materials Engineering for Advanced Technologies(ICMEAT 2015)

作者： Kevin Eduardo Conde Fábio Roberto Chavarette Ezio Castejon Garcia Instituto Tecnológico de Aeronáutica–ITA–Division of Mechanical Engineering–Area: Aerodynamics Propulsion and Energy Pra?a Marechal-do-Ar Eduardo Gomes Faculty Of Engineering UNESP – University Estadual Paulista “Julio de Mesquita Filho” Departament Of Mathematics

Micro Electro Mechanical Systems(MEMS) are systems composite by electrical and mechanical devices that interact by means of transducers elements, thus constituting one single and whole system. On the study of dynamic systems, nonlinear theory in recent years has occupied a prominent position in several areas of research because it unravels puzzles and offers responses, leads to the possibility of describing and explaining the behavior of various existing processes. nonlinear systems have a tendency to develop motion with chaotic dynamics and, thus, presenting certain disadvantages when this dynamic condition happens, such as high power consumption and even poor performance. Thus, to work well, these systems often need to be controlled by appropriated methods of control. Many techniques for the synthesis of controllers for nonlinear systems have been developed. The goal in this work is applying two different techniques of non-linear control to the MEMS with unstable non-linear dynamic behavior.

关键词： Micro electro mechanical System nonlinear dynamics nonlinear Control

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On nonlinear dynamics and control of a robotic arm with chaos 2

On nonlinear dynamics and control of a robotic arm with chao...

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2nd International conference on Structural nonlinear dynamics and Diagnosis (CSNDD)

作者： Felix, J. L. P. Silva, E. L. Balthazar, J. M. Tusset, A. M. Bueno, A. M. Brasil, R. M. L. R. F. UNIPAMPA Bage RS Brazil Univ Fed Abc Santo Andre SP Brazil UTFPR Ponta Grossa PR Brazil UNESP Sorocaba SP Brazil

ISBN: (纸本)9782759816590

In this paper a robotic arm is modelled by a double pendulum excited in its base by a DC motor of limited power via crank mechanism and elastic connector. In the mathematical model, a chaotic motion was identified, for a wide range of parameters. Controlling of the chaotic behaviour of the system, were implemented using, two control techniques, the nonlinear saturation control (NSC) and the optimal linear feedback control (OLFC). The actuator and sensor of the device are allowed in the pivot and joints of the double pendulum. The nonlinear saturation control (NSC) is based in the order second differential equations and its action in the pivot/joint of the robotic arm is through of quadratic nonlinearities feedback signals. The optimal linear feedback control (OLFC) involves the application of two control signals, a nonlinear feedforward control to maintain the controlled system to a desired periodic orbit, and control a feedback control to bring the trajectory of the system to the desired orbit. Simulation results, including of uncertainties show the feasibility of the both methods, for chaos control of the considered system.

关键词： Robotic arms

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Time Series Forecasting Using nonlinear Dynamic methods and Identification of Deterministic chaos

Time Series Forecasting Using Nonlinear Dynamic Methods and ...

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2nd International conference on Information Technology and Quantitative Management (ITQM)

作者： Malyutina, Elena I. Shiryaev, Vladimir I. Natl Res Univ South Ural State Univ Fed State State Financed Educ Inst High Profess E Chelyabinsk 454080 Russia

The study is devoted to the application of nonlinear dynamic methods to explore and model chaotic processes. The criteria of deterministic chaos and the general stages of modeling time series are presented in the work. It is proposed to improve the forecast accuracy by the identification of the chaotic component of the time process using deterministic nonlinear dynamic systems with chaotic solutions in terms of small number of available observations and one process implementation. Decomposition in the system of chaotic processes described by the logistic map is used as a model of chaotic signal. Moreover the parameter of the logistic map and the state of the system of each previous step are known inaccurately and are estimated using the unscented Kalman filter (UKF). Divergence process due to rounding estimations of the parameters of the systems is analyzed in the research. (C) 2014 Published by Elsevier B.V. Open access under CC BY-NC-ND license.

关键词： Deterministic chaos nonlinear dynamics Forecasting Short time series Logistic map Chaotic modeling Unscented Kalman Filter

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Characterization of Grazing Bifurcation in Airfoils with Control Surface Freeplay nonlinearity 9

Characterization of Grazing Bifurcation in Airfoils with Con...

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9th International conference on Structural dynamics (EURODYN)

作者： Vasconcellos, Rui M. G. Abdelkefi, Abdessattar Marques, Flavio D. Hajj, Muhammad R. Sao Paulo State Univ UNESP Sao Joao Da Boa Vista SP Brazil Virginia Tech Dept Engn Sci & Mech Blacksburg VA 24061 USA Univ Sao Paulo Engn Sch Sao Carlos Sao Carlos SP Brazil

ISBN: (纸本)9789727521654

A variety of nonlinear features is obtained from aeroelastic systems with discontinuous nonlinearity motivates investigations that may support future applications in controls design, flutter prediction problems, and energy harvesting exploration. The freeplay nonlinearity leads to bifurcations and abrupt response changes which can result in undesirable or catastrophic responses. Grazing bifurcations of limit cycles are one of the most commonly found discontinuity-induced bifurcations (DIBs) and are caused by a limit cycle that becomes tangent to the discontinuity boundary of the available piecewise-smooth function. The abrupt transition from periodic to aperiodic is directly related with the discontinuous nature of freeplay nonlinearity. In fact, recent studies in different areas discussed the presence of grazing bifurcations and the associated behavior changes. These abrupt transitions caused by grazing bifurcations are different from the well-known routes to chaos. In this work, a nonlinear analysis based on modern methods of nonlinear dynamics, such as power spectra and phase portraits is performed to characterize the sudden transitions in a three-degree of freedom aeroelastic system with freeplay nonlinearity in the flap degree of freedom. The results show that the main transition is due to a grazing bifurcation.

关键词： Aeroelasticity freeplay grazing bifurcation nonlinear dynamics piecewise-smooth systems

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On the state estimation of chaotic systems by a particle filter and an extended Kalman filter

On the state estimation of chaotic systems by a particle fil...

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11th International Multi-conference on Systems, Signals and Devices (SSD)

作者： Mejri, Sameh Tlili, Ali Sghaier Braiek, Naceur Benhadj Ecole Polytech Tunisie LSA La Marsa 2078 Tunisia Northern Border Univ Fac Engn Ar Ar Saudi Arabia

ISBN: (纸本)9781479938667

This paper addresses a comparison of performances between the particle filter (PF) and the extended Kalman filter (EKF) for the discrete-time state reconstruction of chaotic systems. In fact, the extended Kalman filter and the particle filter are two widely used methods for solving nonlinear state estimation problems. The EKF is a sub-optimal approach, which implements a Kalman filter for a system dynamics that results from the linearization of the original nonlinear filter dynamics around the previous state estimates. However, the aforementioned filter has been defined on the assumption that both the process and sensor noises are Gaussian distributed. On the other hand, the particle filter is a more generalized scheme and does not require either of the noises to be Gaussian, as the posterior probabilities are represented by a set of randomly chosen weighted samples. This work aims to compare the performances of the EKF and the PF for the problem of chaotic state estimation from arbitrarily nonlinear time series. Through computer simulations performed on the Holmes-map nonlinear system, the efficiency of the two filters are tested.

关键词： Gaussian distribution Gaussian noise Kalman filters chaos discrete time systems linearisation techniques nonlinear control systems nonlinear filters particle filtering (numerical methods) state estimation suboptimal control time series EKF Gaussian distribution Gaussian noise Holmes-map nonlinear system PF chaotic state estimation chaotic systems computer simulations discrete-time state reconstruction extended Kalman filter linearization nonlinear filter dynamics nonlinear state estimation problems nonlinear time series particle filter posterior probabilities sensor noises suboptimal approach system dynamics Extraterrestrial measurements Reactive power Reliability

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Method of the calculation of spectrum of Lyapunov exponents for the analysis of dynamics of beam-plasma systems 41

Method of the calculation of spectrum of Lyapunov exponents ...

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41st IEEE International conference on Plasma Science, ICOPS 2014 and the 20th IEEE International conference on High-Power Particle Beams, BEAMS 2014

作者： Kurkin, Semen A. Frolov, Nikita S. Maximenko, Vladimir A. Hramov, Alexander E. Koronovskii, Alexey A. Saratov State University 83 Astrakhanskaya str. Saratov410012 Russia Saratov State Technical University 77 Politechnicheskaya str. Saratov410054 Russia

ISBN: (纸本)9781479927111

Summary form only given. nonlinear dynamics and chaos in plasma devices and microwave systems with interacting electron and electromagnetic waves are often observed in bounded plasmas and electron and ions beams, where the nonlinearity and plasma instabilities are combined with dissipation caused by current flow to the boundary electrodes. Therefore, the development of the methods of analysis of nonlinear dynamics in the spatially extended beam-plasma systems is a very important and actual problem due to possible applications of chaos theory in plasma physics, such as the identification of chaotic spatial-temporal oscillations in microwave electronic and plasma devices (e.g., free electron lasers, pasotrons, vircators, etc), chaos control and suppression of turbulence, and chaotic synchronization in the plasma and microwave electronic *** Lyapunov exponents are powerful and useful tool for the complex system dynamics to be analyzed. They are used widely to characterize the systems with small number of degrees of freedom (that is systems with finite phase space) in the different fields of science [1], such as physics, physiology and medicine, molecular dynamics, and astronomy. At the same time, the majority of the plasma systems are characterized by the infinite phase space, since they are the spatially extended active media. Unfortunately, the direct application of the Lyapunov exponent calculation technique (developed for the systems with the small number of degrees of freedom) to the objects of the beam-plasma and electron-wave spatially extended systems is problematic [2]. Recently, the successful attempt to compute the highest Lyapunov exponent taking into account the core features of the spatially extended systems has been made for plasma system models by our scientific group [3]. In the present work, we present the technique of the spectrum of the spatial Lyapunov exponents calculation for the hydrodynamic and particle-in-cell models of distributed be-

关键词： chaos hydrodynamics plasma flow plasma instability plasma nonlinear waves plasma simulation plasma-beam interactions vircators astronomy beam-plasma Pierce-like diode models boundary electrodes chaotic spatial-temporal oscillations chaotic synchronization current flow distributed beam-plasma systems electron-electromagnetic wave interaction electron-wave spatially extended systems free electron lasers hydrodynamic models infinite phase space ions beams medicine microwave electronic systems molecular dynamics nonlinear dynamics particle-in-cell models pasotrons physiology plasma instabilities spatial Lyapunov exponents calculation technique spatially extended beam-plasma systems spectrum calculation method turbulence suppression vircator models chaos Masers Microwave oscillators Physics Plasmas

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Random Bit Generation using Polarization chaos from Free-Running Laser Diode

Random Bit Generation using Polarization Chaos from Free-Run...

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conference on Semiconductor Lasers and Laser dynamics VI

作者： Virte, Martin Mercier, Emeric Thienpont, Hugo Panajotov, Krassimir Sciamanna, Marc Vrije Univ Brussel Dept Appl Phys & Photon B Phot TONA Brussels Photon Team Pl Laan 2 Brussels Belgium Univ Lorraine Supelec Photon Syst LMOPS EA 4423 Materiaux OptiquesOPTEL Res Grp F-57070 Metz France Inst Solid State Phys Sofia 1784 Bulgaria

ISBN: (纸本)9781628410822

During the last five years, optical chaos-based random bit generators (RBGs) attracted a lot of attention and demonstrated impressive performances with bit rates up to hundreds of Gbps. However all the suggested schemes use external injection schemes (optical injection or feedback) to turn the lasers into chaos, hence strongly increasing setup complexity. On the other hand, we reported that a laser diode can generate a chaotic output without the need for external perturbation or forcing, hence unveiling a highly simplified way to generate an optical chaos at high frequency. However the low dimension and limited number of positive Lyapunov exponent casted doubts about its direct use for chaos-based applications. Here we make a proof-of-concept demonstration for a Random Bit Generator based on polarization chaos. We therefore suggest a highly simplified RBG scheme using only a free-running laser and small-bandwidth acquisition electronics and demonstrate convincing performances with bit rates up to 100 Gbps without unusual or complex post-processing methods. We link these performances to the double-scroll structure of the chaotic attractor rather than the bandwidth of the dynamics, hence bringing new light on the importance of chaos topology for chaos-based applications. In addition our scheme exhibit a strong potential as it enables a low-cost and/or integrated in parallel on-chip scheme.

关键词： Random Bit Generation Laser nonlinear dynamics chaos

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Exact solutions to the nonlinear dynamics of learning in deep linear neural networks 2

Exact solutions to the nonlinear dynamics of learning in dee...

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2nd International conference on Learning Representations, ICLR 2014

作者： Saxe, Andrew M. McClelland, James L. Ganguli, Surya Department of Electrical Engineering United States Department of Psychology United States Department of Applied Physics Stanford University StanfordCA94305 United States

Despite the widespread practical success of deep learning methods, our theoretical understanding of the dynamics of learning in deep neural networks remains quite sparse. We attempt to bridge the gap between the theory and practice of deep learning by systematically analyzing learning dynamics for the restricted case of deep linear neural networks. Despite the linearity of their input-output map, such networks have nonlinear gradient descent dynamics on weights that change with the addition of each new hidden layer. We show that deep linear networks exhibit nonlinear learning phenomena similar to those seen in simulations of nonlinear networks, including long plateaus followed by rapid transitions to lower error solutions, and faster convergence from greedy unsupervised pretraining initial conditions than from random initial conditions. We provide an analytical description of these phenomena by finding new exact solutions to the nonlinear dynamics of deep learning. Our theoretical analysis also reveals the surprising finding that as the depth of a network approaches infinity, learning speed can nevertheless remain finite: for a special class of initial conditions on the weights, very deep networks incur only a finite, depth independent, delay in learning speed relative to shallow networks. We show that, under certain conditions on the training data, unsupervised pretraining can find this special class of initial conditions, while scaled random Gaussian initializations cannot. We further exhibit a new class of random orthogonal initial conditions on weights that, like unsupervised pre-training, enjoys depth independent learning times. We further show that these initial conditions also lead to faithful propagation of gradients even in deep nonlinear networks, as long as they operate in a special regime known as the edge of chaos. © 2014 International conference on Learning Representations, ICLR. All rights reserved.

关键词： dynamics

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nonlinear dynamics in semiconductor ring lasers with negative optoelectronic and incoherent optical feedback

Nonlinear dynamics in semiconductor ring lasers with negativ...

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conference on Semiconductor Lasers and Laser dynamics VI

作者： Kingni, S. Takougang Van der Sande, G. Ermakov, Ilya V. Danckaert, J. Univ Yaounde I Lab Modelling & Simulat Engn & Biol Phys Dept Phys Fac Sci POB 812 Yaounde Cameroon Vrije Univ Brussel Appl Phys Res Grp APHY B-1050 Brussels Belgium Catholic Univ Louvain Georges Lemaitre Ctr Earth & Climate Sci B-1348 Louvain Belgium

ISBN: (纸本)9781628410822

In this work, we study theoretically the dynamical behavior of two semiconductor ring lasers (SRLs). One is subject to negative optoelectronic feedback and the other laser is subject to incoherent optical feedback. Relying on asymptotic methods, we are able to reduce the original set of five equations used to describe the dynamical behavior of SRLs with negative optoelectronic feedback (SRL-NOEF) or incoherent optical feedback (SRL-IOF) to two equations and one map with time delay valid on time-scales longer than the relaxation oscillations (ROs). The equations of the reduced models turn out to be the same for both systems. As we vary the feedback strength, the devices under consideration in this work display both continuous wave operation and a period-doubling route to chaos. The two counter-propagating intensities of both systems exhibit in-phase chaotic behavior for small delay times comparable to the period of relaxation oscillations. For delay times significantly longer than the period of ROs, the two counter-propagating modes show in anti-phase chaotic oscillations. Moreover, for long delay times, we find that the counter-propagating intensities of both systems depict the same dynamical behaviors when their feedback strengths are increased.

关键词： Semiconductor ring lasers relaxation oscillations period alternate oscillations period in-phase chaos anti-phase chaos

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High-Dimensional Chaotic dynamics in Cutting Systems with Time-Delay Effects 2

High-Dimensional Chaotic Dynamics in Cutting Systems with Ti...

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2nd International conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014

作者： Liu, Xianbo Lei, Min Long, Xinhua Li, Hongguang Meng, Guang State Key Laboratory of Mechanical System and Vibration Institute of Vibration Shock and Noise Shanghai Jiao Tong University Shanghai200240 China

ISBN: (纸本)9780784413609

nonlinear vibrations due to time delay effects in metal cutting systems -such as turning, milling, and drilling operations -Are undesirable as it might lead to a poor finish and low precision on the workpiece. In this paper, the authors study a very simplified model for turning processes. In the model, the exact geometry of the workpiece surface are taking into consideration, while other nonlinear factors -such as distributed time delay, exponential cutting force, and state-dependent delay -Are neglected. Thus, the time delay system at hand simply suffers nonlinearities from the loss of contact effects. To deal with this system, a novel concept is proposed, based on which the system can be described by a combination of a partial differential equation (PDE) and an ordinary differential equation (ODE). Compared with literature, the PDE-ODE model can be concise to include the time-delay, loss of contact, and multiple-regenerative effects. A high-dimensional map system from the PDE-ODE model is obtained via semidiscretization method. By iteration of the map, the high-dimensional behavior of the cutting system is studied in the time domain. The simulations show the route from stable cutting to bifurcation, chaos, and hyperchaos. The Poincare maps and the bifurcation diagrams from the high-dimensional attractors also illustrate the rich nonlinear dynamical behavior of this very simplified system. © 2014 American Society of Civil Engineers.

关键词： Iterative methods

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