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 “"Unstable manifold"”.
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Analysis of two- and three-dimensional flow separation
… as a material instability induced by an unstable manifold of a distinguished boundary point. In this general context, the unstable manifold is a time-dependent material line that shrinks to the separation point in backward time. In forward time, the unstable manifold attracts and ejects …
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Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
… we use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.</p>
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Pitchfork bifurcations of invariant manifolds
… properties of fixed points and invariant manifolds of dynamical systems. A pitchfork bifurcation in R is said to have occurred when a stable fixed point becomes unstable and two new stable fixed points, separated by the unstable fixed point come into existence. In this thesis, a pitchfork …
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The Lorenz System Near the Loss of the Foliation Condition
… system is organised by the global invariant manifolds of saddle equilibria and saddle periodic orbits. Speci cally, we explain and de ne two phenomena, observed by Sparrow in the 1980's. First, the so-called 'half-swing' of the one-dimensional stable manifolds Ws(p ) of the secondary …
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Exploring global dynamics in a low order model of parallel shear flow
… space surrounding the it. We use a matrix-free manifold computation method to find a homoclinic orbit of limit cycles. Finally we will discuss a method to continue the homoclinic orbit.
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An efficient algorithm for sensitivity analysis of chaotic systems
… chaotic attractors occur – with one-dimensional unstable manifolds. S3 can enable applications of the computed sensitivities to optimization, control theory and uncertainty quantification, in the realm of chaotic dynamics, wherein these applications remain nascent. We propose a transformation of …