Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 30 for “"Coupled Oscillators"”.
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Coupled oscillators near resonance
… study the dynamics of two conservative librating oscillators with perturbations from a linear displacement coupling and non-Hamiltonian forces such as damping. We examine the dynamics of these systems when they are near a resonance using secular perturbation theory. We show that near resonance a …
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Characterization Of Critical Network Components Of Coupled Oscillators
… of the network structure of loosely coupled oscillators based on observing the behavior of the network, specifically, node synchronization. The determination of the requisite characteristics and underlying behaviors necessary for the application of a theoretical mechanism for …
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Two problems about coupled oscillators: transient dynamics and swarming
The conduct of coupled oscillators has long beguiled scientists. Here we study two models of such oscillators. The first is Peskin’s integrate-and-fire model. We focus on the transitory behavior, showing that in its infancy, synchrony looks much like aggregation. In the second model, we consider …
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Patterns of synchrony in complex networks of adaptively coupled oscillators
Kollektive Phänomene in Systemen von miteinander verbundenen dynamischen Einheiten sind allgegenwärtig in der Natur. Das Schwarmverhalten in Gruppen von Vögeln oder Fischen, das synchrone Blinken von Glühwürmchen oder auch das kohärente "Feuern" von Neuronen im menschlichen Gehirn sind nur einige …
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Center Manifold Dynamics in Randomly Coupled Oscillators and in Cochlea
<p>In dynamical systems theory, a fixed point of the activity is called nonhyperbolic if the linearization of the system around the fixed point has at least one eigenvalue with zero real part. The center manifold existence theorem guarantees the local existence of an invariant subspace of the …
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Clustering Behavior in Systems of Coupled Oscillators and Networks of Mutually Attracting Agents
In systemen van gekoppelde oscillatoren, zoals zwermen vuurvliegjes of groepen pacemakercellen in het menselijk hart, kunnen aan de afzonderlijke oscillatoren verschillende natuurlijke frequenties geassocieerd worden. Indien de interacties tussen de oscillatoren voldoende groot zijn, kunnen deze …
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Theoretical and Experimental Studies of Steady State Nonlinear Localization and Energy Pumping in Systems of Coupled Oscillators
Based on the results of this work it can be concluded that using essentially nonlinear stiffness elements for passive vibration control can provide relatively simple, modular vibration isolation designs for engineering structures.
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Numerical Analysis and Applications of the Process of Nonlinear Supratransmission in Mechanical Systems of Coupled Oscillators with Damping
… discrete versions involving nonlinear systems of coupled oscillators. More concretely, we make use of the process of nonlinear supratransmission of energy in these chain systems and our numerical techniques in order to transmit binary information. Our simulations show that, under suitable …
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Analysis of inductance-capacitance voltage-controlled oscillators
… of inductance-capacitance voltage-controlled oscillators (LC VCOs), specifically, double switch cross-coupled oscillators. Fundamentals on LC VCOs, like oscillation conditions, classical LC VCO architectures, inductor and capacitor choices, and phase noise calculations are described. A …
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Relaxation and Spontaneous Ordering in Systems with Competition
… systems and collective rhythmic behaviors in coupled oscillators. In this thesis, we present the results of two studies: 1) The response of a multi-species predator-prey system to perturbation. 2) The features of a rich attractor space in a system of repulsively coupled Kuramoto oscillators. …
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Synchronization in Coupled Opto-thermal Silicon MEMS Limit Cycle Oscillators
Micro- and nano-scale oscillators exhibit nonlinear phenomena such as limit cycle oscillations, self-synchronization, and frequency entrainment to an external drive. In this work, we chart the behavior of silicon MEMS oscillators that are nominally 40 µm long and 205 nm thick, mechanically coupled, …
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Pattern formation through synchronization in systems of nonidentical autonomous oscillators
… that emerge when non-identical, diffusively coupled oscillators synchronize. It contains analytical results and their confirmation through extensive computer simulations. We use the Kuramoto model which reduces general oscillatory systems to phase dynamics. The symmetry of the coupling plays …
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Dynamic instabilities in a system with geometrically nonlinear damping and stiffness
The dynamics of a system of coupled oscillators possessing strongly nonlinear stiffness and damping is examined. The system consists of a linear oscillator coupled to a strongly nonlinear, light attachment, where the nonlinear terms of the system are realized due to geometric effects. It is shown …
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Modeling central pattern generators in sand crabs
… each appendage, and these CPG models are coupled together in order to describe the full network. First, CPGs comprise cells, or small groups of cells described by Morris-Lecar equations. Simply coupling these cellular models together results in high dimensional systems of ordinary …
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Coherence and synchronization of noisy-driven oscillators
… ability to synchronize identical self-sustained oscillators. First, we demonstrate that the coherence of a noisy or chaotic self-sustained oscillator can be efficiently controlled by the delayed feedback. We develop the analytical theory of this effect, considering noisy systems in the Gaussian …
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Modeling phase synchronization of interacting neuronal populations : from phase reductions to collective behavior of oscillatory neural networks
… In Chapter 3 I apply them to networks of weakly coupled Brusselators and of Wilson-Cowan neural masses. Numerical and analytical approaches are compared against each other and their sensitivity to parameter regions and nonlinear coupling schemes is analysed. In Chapters 4 and 5 I investigate …
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From fano to nano: mechanisms and applications of surface enhanced raman spectroscopy
… may be projected via a classical analogue of coupled oscillators. In a subsequent study, leaning gold-covered silicon nanopillars are analysed where plasmonic interference and ‘substrate-solution hydrophobic effects’ are provided as explanations for the magnitudes and patterns of SERS …
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Criticality control of insulin release: a novel alternative for detailed modelling of insulin secretion
… resulting model is comprised of a set of sixteen coupled oscillators organized into four clusters. It successfully incorporates characteristics that have been observed in the glucose-insulin system, such as nonlinear dynamics, coupling, and response to external influences. In order to tune the …
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