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 6 of 6 for “"Parameter continuation"”.
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A computer assisted approach to Hilbert's 16th problem
… 16th problem. In Chapter 2, we describe multiparameter vectors, their bifurcations and rotated vector fields. In Chapter 3, we introduce parameter continuation methods and applications to multiparameter vectors. In Chapter 4, we summarize recent studies of quadratic systems and address the …
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Robust design optimization with dynamic constraints using numerical continuation
… and integral constraints. A successive parameter continuation method combined with polynomial chaos expansions is used to locate stationary points. The use of such an expansion provides the benefit of being able to directly drive the mean and variance of a given response function (or an …
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Using the Circular Restricted Three-Body Problem to Design an Earth-Moon Orbit Architecture for Asteroid Mining
… A single shooting method (SSM) and natural parameter continuation (NPC) numerical algorithm is used to compute a family of L3 Lyapunov orbits. Invariant Manifold Theory (IMT) is leveraged to find the set of feasible hyperbolic invariant stable and unstable manifolds associated with a L3 …
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Equilibria of a Gyrostat with a Discrete Damper
… the bifurcations that occur for varying system parameters for varying rotor momentum and damper parameters. The equations and bifurcations for zero rotor absolute angular momentum are identical to those for a rigid body with an identical damper. For the more general case of non-zero rotor …
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Stability and robustness of adaptive controllers for underactuated Lagrangian systems and robotic networks
… an equivalent linear, time-invariant system, and parameter continuation for Hopf bifurcation analysis. This dissertation also performs theoretical study of the delay robustness of the control framework. The analysis shows that the controller has a positive lower bound for the time-delay margin by …
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Dynamics and optimal control of information transmission in complex systems
… networks are studied to explore how system parameters and network structures affect the process of information transmission. To understand how a given network feature affects the dynamics of processes occurring on the network, we compare measurements of such dynamics against the same …