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 11 of 11 for “"Phase Plane Analysis"”.
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Phase-plane analysis of nonlinear sampled-data servomechanisms
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering, 1954.
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Beyond the tanh method-looking for explicit travelling wave solutions to partial differential equations
… existence of travelling wave solutions by using phase plane analysis. We show that popular methods such as the tanh-method, G0/G-method and many more are special cases of the presented approach. Analytical solutions to several examples of nonlinear equations are illustrated. In the application, …
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Three-dimensional display of phase space diagrams
Phase plane analysis of linear and nonlinear systems has been widely in recent years. These graphical displays give considerable insight into system response. A serious short coming of this procedure is the limitation to two dimensions. A third-order system must be studied on two, two-dimensional …
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Phase planes in the universe : chaotic cyclic universes and kicking Chameleons
… in the early universe. Both sections invoke a phase plane analysis as their commonality. The first explores a cyclic model, proposed by Ellis et al, that is in keeping with current observations. No exotic nor new physics is needed for the bounce nor the turnaround. The model is chaotic in …
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Roles of gap junctions in neuronal networks
… suppressed and 1 N spiking solutions. Using phase plane analysis and Denjoy's Theorem, we show the existence of these solutions and investigate some of their properties.
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Piezoelectric buckling actuators : form reduction, bidirectional control, and optimal switching
… activation control. Through the use of phase-plane analysis, an optimal switching control law is described. Prototypes of single and dual buckling actuator mechanisms are shown, and experimental performance is presented.
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Perceptual Learning, Long-Range Horizontal Connections And Top-Down Influences In Primary Visual Cortex
… on contour integration was analyzed with ROC analysis to show that an ideal observer could predict the presence of an embedded contour from the spike count of a single neuron on a single trial as well as the animal's behavioral performance. A final set of experiments showed that prior to …
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Diffusion Problems in Wound Healing and a Scattering Approach to Immune System Interactions
… This chapter concludes with a standard phase plane analysis of a traveling wave solution. Chapter VII, Tunneling, introduces a novel and hopefully useful way of looking at cancer growth and the immune system. In the governing differential equation, the cancer cell number represents the …
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Investigating our dynamic solar corona from near Sun to 1 AU
… propagate through the heliosphere and into interplanetary space. By analysing observations from two vantage points of Sun-centred, and coronagraph stereoscopic data, provided by the NASA STEREO spacecraft, a triangulation technique is used to pin-point the location of the CME’s leading edge in …
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Dynamics and precursor signs for phase transitions in neural systems
… evidence for precursor indicators of imminent phase transition due to occurrence of individual spindles. To complement the spiking neuron networks, we study the Wilson–Cowan neural mass equations describing homogeneous cortical columns and a 1D spatial cluster of such columns. The abstract …
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The SIR Model When S(t) is a Multi-Exponential Function.
<p>The SIR can be expressed either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume <em>S</em>(<em>t</em>) is a finite multi-exponential, …