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Showing 1 to 3 of 3 for “"Lorenz equations"”.
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The visualization of strange attractors in three dimensions
… then used to observe strange attractors for the Lorenz, Rossler, and Silnikov systems of equations. The solutions to the Lorenz equations are followed in detail for certain parameter values. Figures of the attractors are included to attempt to show the benefits of the new tools. There is an …
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New methods for sensitivity analysis of chaotic dynamical systems
… several chaotic dynamical systems including the Lorenz equations and a chaotic Partial Differential Equation, the Kuramoto-Sivshinsky equation. The first method, the probability density adjoint method, forms a probability density function on the strange attractor associated with the system and …
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State Feedback Control of a Single-Loop Thermosyphon System Via a Quotient Controller
The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a …