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Showing 1 to 12 of 12 for “"Differential system"”.
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Polyhedral Computation for Differential System Analysis and Control
… in the analysis and design of dynamical systems. The main motivation behind the use of polyhedra in this context is that they can, in principle, provide arbitrarily tight conditions on stability, monotonicity, and some system gains for a large class of systems. However, finding a suitable …
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Infinitely Many Periodic Trajectories of the Generalized Lienard Differential System
Made available in DSpace on 2014-12-11T18:24:01Z (GMT). No. of bitstreams: 1 7405576.pdf: 2297863 bytes, checksum: a7c5254d064db71972f0d09089e3a2b1 (MD5) Previous issue date: 1973
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Existence of Eigenvalues for Second Order Nonhomogeneous Multi-Parameter Boundary Value Problems.
… this paper, the nonhomogeneous second order differential system is considered.
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Exceptional surfaces as topological obstructions in dynamical systems
… topological insulators, to the general nonlinear differential system. In particular, we develop a formulation of the Berry phase for classical dynamical systems and demonstrate its usage on a toy-model. Thereafter we discuss classical eigensystem degeneracy and analyse its topological properties …
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Modeling a vehicle suspension system as an educational laboratory exercise
… concepts of modeling a vehicle suspension system to students in the 2.672 class at MIT, a design of a lab apparatus and plan of the procedure for a laboratory exercise featuring the necessary materials was completed. Specifically, the exercise had the goal of teaching providing students …
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Aspects of dynamically enhanced electromagnetic fields from charged relativistic sources in a beam pipe
… derived from Maxwell’s equations, expressed as a differential system on Minkowski spacetime using the language of differential forms. Along with boundary conditions, the mode structure of the linear system of …field equations is developed, culminating in a telegraph-type equation with source, …
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Application of optical fibers to wideband differential interferometry and measurements of pulsed waves in liquids
Wideband differential interferometry has been applied to the detection of SAW on specimen surfaces and ultrasonic compressional waves in liquids. Herein is described the performance of a wideband differential system which uses single mode optical fibers to transmit coherent light from input optics …
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Analytic and Numerical aspects of isospectral flows
… of Bloch--Iserles equations, the matrix ordinary differential system of the form $ X'=[N,X^{2}],\ \ t\geq0, \ \ X(0)=X_0\in \textrm{Sym}(n),\ N\in \mathfrak{so}(n), $ where $\textrm{Sym}(n)$ denotes the space of real $n\times n$ symmetric matrices and $\mathfrak{so}(n)$ denotes the Lie algebra of …
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Design and fabrication of a prototype aluminum nitride-based pressure sensor with finite element analysis and validation
… sapphire with 2 µm thickness using the PSMBE system. The aluminum interdigital transducer (IDT) is evaporated on the AlN thin film with predefined delay-line pattern using the BJD-1800 vacuum deposition system. Another layer of AlN thin film with 1 µm thickness is deposited on the top of the …
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On orthogonal polynomials and related discrete integrable systems
… community after their connection with integrable systems was found. This thesis is concerned with the different ways these connections can occur. We approach the problem from both perspectives, by looking for integrable structures in orthogonal polynomials and by using an integrable structure to …
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Influence of Bit Design on the Stability of the Rotary Drilling System
Rotary drilling systems used to drill deep boreholes for hydrocarbon exploration and production experience self-excited vibrations, which can lead to drilling dysfunctions such as bit bounce, stick-slip and whirling. These dysfunctions cause premature failure of drill bits and other components …
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Problems in nonlinear dynamics
… normal modes of weakly nonlinear discrete systems with one-to-one and three-to-one internal resonances. Cubic geometric nonlinearities are considered. The system under investigation possesses similar nonlinear normal modes for the case of One-to-one internal resonance and nonsimilar …