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 27 for “"nonlinear oscillators"”.
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Optimal Control of Weakly Forced Nonlinear Oscillators
<p>Optimal control of nonlinear oscillatory systems poses numerous theoretical and computational challenges. Motivated by applications in neuroscience, we develop tools and methods to synthesize optimal controls for nonlinear oscillators described by reduced order dynamical systems. Control of …
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Synchronization and adaptation of systems of nonlinear oscillators
… the synchronization and adaptation of systems of nonlinear oscillators. The paper presents several simulations, which attempt to illustrate these systems as clearly as possible, in particular in the presence of leaders.
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A study of synchronization of nonlinear oscillators: Application to epileptic seizures
… problems in neuroscience from the perspective of nonlinear dynamics and stochastic processes. The first part concerns a method to visualize the idea of the power spectrum of spike trains, which has an educational value to introductory students in biophysics. The next part consists of experimental …
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Solitons,spatiotemporal choas and synchronization in arrays of damped driven nonlinear oscillators
… and chaotic motion in a soliton-bearing chain of nonlinear oscillators and study the effect of disorder on the spatiotemporal chaos. The chain we consider consists of torsionally coupled, damped, parametrically driven pendulums. We show that the amplitudes of the pendulums satisfy a system of …
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Solitons, spatiotemporal chaos and synchronization in arrays of damped driven nonlinear oscillators
… prevent spatiotemporal chaos, synchronizing the oscillators in the chain. Lastly we study chains with several impurities in various configurations.
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Random perturbations of delay differential equations at the verge of instability and periodically driven nonlinear oscillators
… a linear DDE perturbed by small noise and small nonlinearities. The instability scenario considered is the following: a pair of roots of the characteristic equation (critical eigenvalues) lie on the imaginary axis of the complex plane, and all other roots have negative real parts (stable …
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Adaptive data analysis for damage detection and system identification in civil infrastructure
… for the identification of weakly to moderately nonlinear oscillators based on vibration responses. It can be used to accurately separate the low and high frequency components of time-varying stiffness and damping coefficients in dynamic systems. The efficiency and accuracy of the proposed M-AMD …
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Nonlinear stochastic vibration analysis for energy harvesting and other applications
… white noise base excitation of a general nonlinear energy harvester model is considered. The power input from white noise is known to be proportional both to the total oscillating mass of the system and the magnitude of the noise spectral density, regardless of the internal mechanics of …
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Dynamical systems approach to binocular stereopsis
… this model, a dynamical system is an ensemble of nonlinear oscillators associated with an image location. The initial state of each oscillator is determined by the gray-level context of the image location. Distinct features can be identified through the convergence of the dynamical system to a …
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Single-degree-of-freedom energy harvesters by stochastic excitation
… of different classes of single-degree-of-freedom oscillators under stochastic excitation are developed. For each family of oscillators, these objective criteria take into account the maximum possible energy harvested for a given response level, which is a quantity that is directly connected to the …
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Chemical modification of polymers
… In the process of forming a suitable model, two nonlinear oscillators were proposed, which could be of interest in the study of nonlinear phenomenon because of their chaotic behaviour.
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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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RoboBat: dynamics and control of flapping flight micro aerial vehicles
… by using the phase differences between coupled nonlinear oscillators called central pattern generators (CPGs). A dynamic model for the robotic bat based on the complex wing kinematics is presented, and the wing kinematic motions themselves are analyzed using a high-speed motion capture system. …
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A broadcast-based coordination scheme for a system of autonomous mobile robots
… We generate heartbeats with van der Pol oscillators, which are nonlinear oscillators that modify their output when coupled to other oscillators. Van der Pol oscillators have long been utilized in simulations, particularly to model rhythmic behavior in biological systems. In this …
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Optimal Control and Synchronization of Dynamic Ensemble Systems
… which involve ensembles of linear, bilinear, or nonlinear oscillating systems, for which analytical control laws are infeasible or absent. The focus of this dissertation is on novel analytical paradigms and constructive control design methods for practical ensemble control problems. The first …
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Nanotechnology: a systems and control approach
… has a highly complex dynamics due to the nonlinear tip-sample interaction forces. A systems approach is proposed to analyze the tapping-mode dynamics. The systems perspective is further exploited to develop analytical tools for modeling and identifying tip sample interactions. Some of the …
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Hybrid Solutions for Mechatronics. Applications to modeling and controller design.
… estimation and of uniform synchronization of nonlinear oscillators. In the third part, we use a hybrid approach to study two applications where this framework has been rarely employed, or not at all, namely smart agriculture and trajectory tracking for a bipedal walking robot. We study these …
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Chaotic diffusion in nonlinear Hamiltonian systems
This work investigates diffusion in nonlinear Hamiltonian systems. The diffusion, more precisely subdiffusion, in such systems is induced by the intrinsic chaotic behavior of trajectories and thus is called chaotic diffusion''. Its properties are studied on the example of one- or two-dimensional …
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Advantageous Utilization of Nonlinear Phenomena in Micro-Structures and Macro-Structures: Applications to Micro-Resonators and Atomic Force Microscopy
Within this work, the nonlinear oscillations of various beam-like structures are studied. Methods are developed to analyze systems of this type to better understand their behavior in order to utilize the nonlinear phenomena associated with them and to provide insights for device development. The …
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Synchronization in active networks
In nature one commonly finds interacting complex oscillators which by the coupling scheme form small and large networks, e.g. neural networks. Surprisingly, the oscillators can synchronize, still preserving the complex behavior. Synchronization is a fundamental phenomenon in coupled nonlinear …
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