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 20 of 80 for “"Periodic orbits."”.
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Multidimensional continuation of families of periodic orbits
… of piecewise polynomial discretizations of periodic orbits of ordinary differential equations. Such an algorithm generates a discretized representation of a manifold of such orbits embedded in a larger variable space. Each chart associated with the discretized atlas is defined in terms of a …
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CUPOLETS: Chaotic unstable periodic orbits theory and applications
<p>Recent theoretical work suggests that periodic orbits of chaotic systems are a rich source of qualitative information about the dynamical system. The presence of unstable periodic orbits located densely on the attractor is a typical characteristic of chaotic systems. This abundance of unstable …
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Free-fall periodic orbits connecting Earth and Mars.
Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Thesis. 1970. Sc.D.
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Free-fall periodic orbits connecting Earth and Venus.
Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics. Thesis. 1968. M.S.
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Low thrust augmented periodic orbits in the two- and three-body problems
… enabling rich new families of thrust augmented orbits. With the aim of enabling such orbits for small, low-cost spacecraft with limited on-board sensing, new families of non-Keplerian orbits are generated in the Hill-Clohessy-Wiltshire approximation using position-only feedback. The same …
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Symplectic singularities, periodic orbits of the billiard ball map, and the obstacle problem
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1984.
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Analytical and Computational Tools for the Study of Grazing Bifurcations of Periodic Orbits and Invariant Tori
… steady state motion in the immediate vicinity of periodic and quasiperiodic grazing trajectories in an impacting mechanical system. A local analysis based on the discontinuity-mapping approach is employed to derive a normal-form description of the dynamics near a grazing trajectory. Also, the …
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Low-Thrust Optimal Escape Trajectories from Lagrangian Points and Quasi-Periodic Orbits in a High-Fidelity Model
L'abstract è presente nell'allegato / the abstract is in the attachment
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Application of Product Design Concepts and Hybrid System Dynamics to Demonstrate Zeno Behavior and Zeno Periodic Orbits in a Physical Double Pendulum Setup
… in order to understand the significance of periodic orbits on a simple dynamic system. Two hybrid system applications with different levels of complexity will be considered in this thesis ? an anthropomorphic Bipedal walking robot and a Double Pendulum with a mechanical stop. The primary …
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Periodic orbit analysis of the Helmholtz equation in two-dimensional enclosures
This thesis examines how periodic orbits may be used in acoustics to understand solutions of the Helmholtz equation. A review of the links between ray and wave mechanics is given including WKBJ (Wentzel, Kramers, Brillouin and Jeffreys) and EBK (Einstein, Brillouin, Keller) methods. It is also …
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A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATE
… introduced by Clark Robinson in [46]. The periodic orbits are modeled by a semi-flow on the L(−1,−1) template. It is known that these are positive knots, but need not have positive braid presentations. Here we prove that they are fibered. We investigate their linking and we construct a …
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On stability and controllability of conjunctive Boolean networks
… of a finite dynamical system will enter a periodic orbit. Periodic orbits of a CBN are now completely understood. We first characterize in this thesis all periodic orbits of a CBN. In particular, we establish a bijection between the set of periodic orbits and the set of binary necklaces of …
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Hamiltonian bifurcations in Schrodinger trimers
… discrete NLS in the nonlinear regime with periodic boundary conditions is investigated by reducing the degree of freedom from three down to two. The families of standing waves are enumerated and normal forms are used to describe several families of relative periodic orbits whose topologies …
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The contact property for magnetic flows on surfaces
… main goal is to prove existence results for a) periodic orbits, and b) Poincare sections for motions on a fixed energy level Σ_m := {E = m^2/2} ⊂ T M . We tackle this problem by studying the contact geometry of the level set Σ_m . This will allow us to a) count periodic orbits using algebraic …
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A dynamical-systems approach to understanding turbulence in plane Couette flow
… dynamics in terms of the local dynamics of its periodic solutions; these are the periodic orbits in state space. We considered the development of a model for the dynamics of plane Couette flow based on the theory. The proposed model is essentially a set of low-dimensional models for the local …
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From the Earth to the Moon: A Multi-Domain Approach to Cislunar Space Domain Awareness
… configurations of optical sensors placed on periodic orbits within the Circular Restricted Three-Body Problem (CR3BP) through the development of a novel multivariate normal crossover technique for Genetic Algorithms that enables statistical local and global search of discrete populations. …
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Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view
… turbulence(spatiotemporal chaos) based on the periodic orbit theory, emphasizing the role of recurrent patterns and coherent structures. After a brief review of the periodic orbit theory and its application to low-dimensional dynamics, we discuss its possible extension to study dynamics of …
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Dinâmica e controle de caos de um sistema pendular com memória de forma
… like chaotic motion, transient chaos, coexisting periodic orbits and a variety of n-periodic orbits. All the behaviours are identified by their Lyapunov exponents. The extended time delay feedback technique is applied to control the system with two distinct types of controllers: a mechanical and a …
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