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Nonlinear Dynamics of Electronic Systems, Proceedings of NDES 2012

Date 11-13 July 2012

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Displaying Results 1 - 25 of 69
  • Some Aspects of Modelling Wind Turbines and Aggregated Wind Turbines

    Publication Year: 2012 , Page(s): 1 - 5
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (82 KB)  

    In this paper we consider some fundamental aspects of wind park modelling. At first, main modelling steps with respect to nonlinear electromechanical models of wind turbines are presented where some recent mathematical results will be included. Based on this conceptual considerations about complex wind turbine modelling, the problem of modelling aggregated wind turbines (wind parks) using order reduction methods will be addressed. View full abstract»

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  • A Generic Dynamic Emulator

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (94 KB)  

    In applied sciences, we often deal with deterministic simulation models that are too slow for simulationintensive tasks such as calibration or real-time control. In this paper, an emulator for a generic dynamic model, given by a system of ordinary non-linear differential equations, is developed. The non-linear differential equations are linearized and Gaussian white noise is added to account for the non-linearities. The resulting linear stochastic system is conditioned on a set of solutions of the non-linear equations that have been calculated prior to the emulation. A path-integral approach is used to derive the Gaussian distribution of the emulated solution. The solution reveals that most of the computational burden can be shifted to the conditioning phase of the emulator and the complexity of the actual emulation step only scales like O(Nnm2), where N is the number of time-points at which the solution is to be emulated, n the number of solutions the emulator is conditioned on and m the number of variables. View full abstract»

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  • Analytical solutions of a spatially homogeneous Boltzmann equation for cyclostationary noise including generation/recombination

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (126 KB)  

    Previously cyclostationary noise in semiconductors was discussed based on a model problem solved by the Monte Carlo method. In this abstract it is shown that this model problem has an exact analytical solution, which gives much more insight into the problem. It is shown that under technically relevant conditions, where the generation/recombination life times are much larger than the scattering times of the interactions with phonons and impurities, these processes are uncorrelated and the usual approximations for transport and noise hold under stationary and cyclostationary conditions. View full abstract»

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  • Chaos and Oscillation Death in a Weakly Driven Bonhoeffer-van der Pol Oscillator near a Subcritical Andronov-Hopf Bifurcation

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (657 KB)  

    We carry out bifurcation analysis for a piecewise-linear Bonhoeffer-van der Pol oscillator under weak periodic perturbation. The parameter values are chosen such that a stable focus and a stable relaxation oscillation coexist when no perturbation is applied. When we apply weak periodic perturbation, complicated phenomena such as sudden change from chaos to oscillation death emerge. We analyze these phenomena by applying a piecewise-linear technique combined with a degenerate technique. View full abstract»

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  • Spatial-Temporal Patterns Arising in Active Media Due to the Wave Instability

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (523 KB)  

    Wave instability in active media gives rise to formation of different types of spatial-temporal patterns. Here we discuss patterns which may arise in the vicinity of the wave bifurcation. First we consider patterns which arise due to polymodal interaction right after the wave bifurcation and obtain the conditions for them to occur. Then we suggest the scenario of transition from standing waves to travelling waves with the half-wavelength observed in experiments. View full abstract»

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  • The Oscillator Principle of Nature - A simple Observation

    Publication Year: 2012 , Page(s): 1 - 4
    Cited by:  Papers (2)
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (146 KB)  

    Oscillators are found on all levels in Nature. The general oscillator concept is defined and investigated. Oscillators may synchronize into fractal patterns. Apparently oscillators are the basic principle in Nature. The concepts of zero and infinite are discussed. Electronic manmade oscillators are introduced by means of an example of an autonomous third-order chaotic oscillator. Keywords: Chaos, life, oscillator, zero, infinite, Barkhausen??s Criterion, morphogenesis. View full abstract»

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  • Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (466 KB)  

    We show that two coupled identical (or nearly identical) Pikovsky-Rabinovich chaotic oscillators can demonstrate complete synchronization (CS), as well as inhomogeneous oscillation death (OD) in coexistence with CS. As the coupling strength decreases, the inhomogeneous solutions evolve from OD to the regular limit cycle, then to beating-like oscillations, and eventually to inhomogeneous chaotic oscillations. All of them coexist with CS and preliminary results about their basins are presented. View full abstract»

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  • A study of an integrate-and-discharge model for parameter measurement with applied symbolic dynamics

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (237 KB)  

    An integrate-and-discharge model (IDM) is proposed based on an integrate-and-fire model (IFM). Compare to the IFM, the IDM can get rich dynamics including chaos, phase locking, etc., without using varying threshold modulation. The corresponding relation between output symbolic sequences and parameters (i.e., frequency, amplitude, resistance and capacity) of the IDM is established by applied symbolic dynamics. Moreover, a method of obtaining symbolic sequence as well as an ordering rule is presented. Simulation and circuit experiment have validated the method and the rule. The results of circuit experiment show that frequency resolution can reach up to 0.05Hz in some frequency ranges and amplitude resolution can reach up to 1uA. View full abstract»

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  • Electronic Repressilator with Quorum Sensing Feedback

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (443 KB)  

    We investigate the dynamics of an electronic ring oscillator, analog of synthetic genetic repressilator (e-Rep), with quorum sensing (QS) feedback. We find: multi-stability of limit cycles (LC) with stable steadystate (SS); LCs with period-doubling and periodhalving; and infinite period bifurcation (IPB) transitions for both increasing and decreasing strength of QS feedback. The noise amplification near the IPB is demonstrated. View full abstract»

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  • Learning of Periodic Attractors in Simple Dynamic Binary Neural Networks

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (558 KB)  

    This paper studies learning capability of simple dynamic binary neural networks characterized by signum activation function and ternary weighting parameters. Applying a correlation-based learning method, the network can store a class of periodic attractors. The network dynamics can be integrated into a simple return map on lattice points and we can grasp basic characteristics such as the number of periodic attractors and their domain of attraction. Performing basic numerical experiments, typical network dynamics learning examples are demonstrated. View full abstract»

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  • On the affine nonlinearity in circuit theory

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (129 KB)  

    Affine dependence represents a well definable and most commonly met nonlinearity to which, however, usually, no attention is paid. In fact, this nonlinearity exists only in system theory and is linearity in analytical geometry, which is explained by the fact that circuit's power-activity has no direct analogy in the geometry. We also associate ([1], these Proceedings) the affine nonlinearity (ANN) of some 1- ports, obtained via deriving and mutually connecting Thevenin's equivalents, with an analysis of the "structural complexity" (i.e. "entropy") of a system. The Thevenin's contraction is thus used in [1] as some repeatable operation associated with an (algebraic) ideal in a circuit modeling of the growing of some biological structures. View full abstract»

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  • Electrical ANN Circuits (1-ports) and Schrodinger's "What is Life?"

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (119 KB)  

    The motivation for the present work came from the book [1], "What is Life?", in which (Chpt. 6 for details and the Preface) Erwin Schrodinger argues (see http://whatislife.stanford.edu/LoCo_files/What-is- Life.pdf) that the decrease of the entropy, and not the energy supply, is the most important aspect of our feeding (eating). Regarding this stress on the preservation of structure, which is discussed in [1] strongly but intuitively, without any structural entropy defined, we suggest a very simple modeling representing some circuits by means of 1-ports. Using, as in [1], very little of biological information, we apply the algebraic concept of ideal that represents here the preservation of a certain type of the structure, which seems to fit both the growing (or surviving) biological structures, and the "Thevenin contraction" of circuits. We also extend the scope of vision suggested in [1] by observing that our informational "feeding" and "digestion" are not less important than the physiological ones, and if this "feeding" is not proper, or this "digestion" is not possible, this causes health (mental) problems. As the result of this position, the not-understood recent "days of violence" are seen here as an almost natural human response to the information that is given by radio, TV, etc., in such a form that it cannot be normally treated, i.e. it cannot order (or be ordered in) our mind. The volume of the excited part of the brain and the entropy of the logical system treating the information received, are thus strongly increased. This extension of [1] makes the unique outlook on life, suggested some 70 years ago, more adjusted to the problems of modern life, more system-oriented and instructive. View full abstract»

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  • Basic Analysis Tools of Spike-Trains in Chaotic Spiking Oscillators

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (464 KB)  

    This paper studies three analysis tools of the spike-trains in chaotic spiking oscillators. The first one is the histogram of inter-spike intervals. It is convenient to extract basic information from spike-trains. The second one is the recurrence plot that has potential to extract information hidden in the spike-trains. The third one is the return map of the state variable. It is useful to analyze stability and bifurcation of spike-train generators. We apply these tools to a class of chaotic spiking oscillators and some typical phenomena are demonstrated. View full abstract»

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  • SC-CNN Based n-scroll Generator: Implementation Issues and Experimental Verification

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (749 KB)  

    Multiscroll chaotic attractors have been a widely researched field of study. In these studies, various multiscroll structures have been obtained by using different nonlinear functions including quasi-linear, PWL and trigonometric functions. Recently, an interesting n-scroll chaos generator has been theoretically introduced in literature. This generator is based on State Controlled-Cellular Neural Network (SC-CNN) and uses both a PWL function and a trigonometric function for generating multiscrolls. Although this model has been theoretically introduced, any experimental verification study is not reported and any hardware solution is not proposed. In this study, by using a programmable hardware, we aim to verify the n-scroll dynamics of SC-CNN based multiscroll generator. Experimental results agree with the results of numerical mode ling, and also show the efficieny of the implementation method. View full abstract»

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  • Computational sensitivity of a high dimensional dynamical oscillator

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (966 KB)  

    The difficulty arises when we carry out Lyapunov analysis for a high dimensional oscillator. Our model is an eight-dimensional oscillator with a hysteresis element. This oscillator is piecewise-linear, and therefore, the explicit solution in each branch are obtained explicitly. We define the return map rigorously by using these explicit solutions. Numerical results show that we cannot often obtain a stationary solution even if we remove the transient 100,000 iterations of the return map. Furthermore, we encounter the following case: Lyapunov exponents are calculated by averaging 1,000,000 iterations of the Jacobian matrix of the return map to calculate the Lyapunov exponents. However, we cannot simply estimate and classify the solutions from the value of Lyapunov exponents in some cases even if the objective attractor is not chaotic, because the structure of oscillators with high dimensions are extremely complex. View full abstract»

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  • Identification of Informative Subgraphs in Complex Systems

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (147 KB)  

    An approach to put in evidence multiplets of variables, providing information for the future state of a subsystem, is proposed. The method employs an exact expansion of the transfer entropy; significant multiplets are associated to informational circuits present in the system, with an informational character (synergetic or redundant) which can be related to the sign of the contribution. We also present preliminary results on an fMRI data set. View full abstract»

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  • Deterministic Discrete Particle Swarm Optimizers with Collision and Insensitivity

    Publication Year: 2012 , Page(s): 1 - 4
    Cited by:  Papers (1)
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (636 KB)  

    This paper studies a novel particle swarm optimizer for multi-solution problems. The system is governed by a deterministic difference equation and has no stochastic parameter: it is suitable for analysis of dynamics. The particles move on discrete search space, can be insensitive and can collide with other particles. The collision and insensitivity can be effective to make a swarm diversity and to approach solutions. The algorithm efficiency is investigated in basic numerical experiments. View full abstract»

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  • Distributed synchronization of complex networks with multiple stochastic disturbances

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (101 KB)  

    In this brief, the distributed synchronization problem of complex networks with multiple stochastic disturbances (MSDs) is investigated. By the Lyapunov functions method, we show that distributed synchronization of complex networks with MSDs can be achieved in mean square under certain criteria. View full abstract»

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  • Codebook Generation Based on Complex Systems

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (217 KB)  

    During the last decades the development of an efficient method for generation and optimization of codebooks for vector quantization is always a big challenge. By taking the advantage of complex systems, we develop a new design of codebook generation. In this paper some improved optimization methods for codebook generation will be discussed. View full abstract»

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  • PSpice as a Verification Tool for Switch Mode Power Supply Design with PowerEsim

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (1389 KB)  

    The paper deals with the possibility to apply the PSpice simulator as a verification tool for SMPS design with the Internet-based platform PowerEsim. The advantages and some lacks of PowerEsim are considered and PSpice is seen as a tool to fill these lacks. An example of Full bridge DC-DC converter synthesized in PowerEsim and simulated in PSpice is used to illustrate the advantages of a combined PowerEsim synthesized ?? PSpice verified SMPS design. View full abstract»

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  • Competition and Bifurcations in Phase Oscillator Networks with Positive and Negative Couplings

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (90 KB)  

    We consider Kuramoto??Sakaguchi type model of globally coupled phase oscillators with positive and negative coupling parameters. Such type of model with natural motivation was proposed for consideration by H. Hong and S.H. Strogatz where they obtained interesting and unexpected results. Our aim is to do bifurcation analysis for the finite??dimensional case of identical oscillators when phase shift is involved. We describe invariant manifolds and find complicated heteroclinic constructions, chaos and multistability in the system. View full abstract»

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  • Polar Coordinates for Space Phasors in Power System Transient and Small-Signal Stability Analysis

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (196 KB)  

    This document describes an alternative approach for the application of space phasors in transient and small-signal stability analysis in power systems. This is done by a transformation into polar coordinates. The resulting equation systems and their embedding in the basic equation systems are shown in comparison to the conventional approaches. View full abstract»

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  • Topological Identification of Weak Points in Power Grids

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (287 KB)  

    Stability of a power grid??s synchronous operating mode is crucial to its reliable function. We quantify the stability of this operating mode in different humble power grid layouts that we numerically simulate employing a widely used electro-mechanical model. The method with which we quantify stability delivers a single number, called basin stability, for each node in a grid. A node with a poor basin stability is a weak point, as a rather small perturbation to this node would suffice to destroy the synchrony of the whole system and make it collapse. Using tools from the theory of complex networks, we statistically evaluate an ensemble of grids to identify topological classes of nodes whose members typically have the same (poor or large) value of basin stability. View full abstract»

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  • On the Analysis of Series Connected Resonant Tunneling Diodes

    Publication Year: 2012 , Page(s): 1 - 4
    Cited by:  Papers (1)
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (503 KB)  

    This paper presents an analysis of series connected resonant tunneling diodes. The solution set of the describing system of equations will be assigned as configuration space S and distinct in stable and unstable parts. Moreover, several types of S will be shown and verified by measurements. View full abstract»

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  • A minimal model for a slow pacemaking neuron

    Publication Year: 2012 , Page(s): 1 - 4
    Save to Project icon | Click to expandQuick Abstract | PDF file iconPDF (154 KB)  

    Abstract??We have constructed a phenomenological model for slow pacemaking neurons. Many of these neurons also differentially respond to various types of stimulation. The model is based on FitzHugh-Nagumo (FHN) oscillator and implements a nonlinearity introduced by a current that depends on an ion concentration. The comparison with the original FHN oscillator has shown that the new nonlinear dependence allows for differentiating responses to various stimuli. We discuss implications of our results for a broad class of neurons. View full abstract»

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