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Showing 1 to 20 of 80 for “"Periodic orbits"”.

  1. Computational analysis of bifurcations of periodic orbits

    De Witte, VirginieGhent University. Faculty of Sciences2013

    ghent Repository record

  2. Multidimensional continuation of families of periodic orbits

    Wang, YuqingUniversity of Illinois at Urbana-Champaign2018

    … 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 …

    uiuc Repository record

  3. CUPOLETS: Chaotic unstable periodic orbits theory and applications

    Zarringhalam, Kourosh

    <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 …

    unh-thes Repository record

  4. Free-fall periodic orbits connecting Earth and Mars.

    Rall, Charles ShermanMassachusetts Institute of Technology1970

    Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Thesis. 1970. Sc.D.

    mit Repository record

  5. Free-fall periodic orbits connecting Earth and Venus.

    Menning, Michael DonMassachusetts Institute of Technology1968

    Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics. Thesis. 1968. M.S.

    mit Repository record

  6. The Existence of Elliptic Periodic Orbits in the Smoothed Bunimovich Stadium

    Teti, Sherry Lynne2013

    bryn-mawr Repository record

  7. Low thrust augmented periodic orbits in the two- and three-body problems

    Arnot, Callum S.University of Strathclyde2018

    … 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 …

    strathclyde Repository record

  8. Symplectic singularities, periodic orbits of the billiard ball map, and the obstacle problem

    Magnuson, Alan WilliamMassachusetts Institute of Technology1984

    Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1984.

    mit Repository record

  9. Analytical and Computational Tools for the Study of Grazing Bifurcations of Periodic Orbits and Invariant Tori

    Thota, PhanikrishnaVirginia Tech2007

    … 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 …

    vt Repository record

  10. Low-Thrust Optimal Escape Trajectories from Lagrangian Points and Quasi-Periodic Orbits in a High-Fidelity Model

    MASCOLO, LUIGIPolitecnico di Torino2023

    L'abstract è presente nell'allegato / the abstract is in the attachment

    poli-torino Repository record

  11. Application of Product Design Concepts and Hybrid System Dynamics to Demonstrate Zeno Behavior and Zeno Periodic Orbits in a Physical Double Pendulum Setup

    Kothapalli, Bhargav2012

    … 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 …

    tdl Repository record

  12. Periodic orbit analysis of the Helmholtz equation in two-dimensional enclosures

    Ham, ChristopherUniversity of Southampton2008

    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 …

    soton Repository record

  13. A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATE

    AL-Hashimi, Ghazwan Mohammed

    … 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 …

    siu-theses Repository record

  14. On stability and controllability of conjunctive Boolean networks

    Gao, ZuguangUniversity of Illinois at Urbana-Champaign2017

    … 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 …

    uiuc Repository record

  15. Hamiltonian bifurcations in Schrodinger trimers

    Basarab, Casayndra H.

    … 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 …

    njit Repository record

  16. The contact property for magnetic flows on surfaces

    Benedetti, GabrieleUniversity of Cambridge2015

    … 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 …

    cambridge Repository record

  17. A dynamical-systems approach to understanding turbulence in plane Couette flow

    Szeto, Mimi

    … 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 …

    unh-thes Repository record

  18. From the Earth to the Moon: A Multi-Domain Approach to Cislunar Space Domain Awareness

    Segal, Connor BenjaminVirginia Tech2025

    … 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. …

    vt Repository record

  19. Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view

    Lan, YuehengGeorgia Institute of Technology2004

    … 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 …

    gatech Repository record

  20. Dinâmica e controle de caos de um sistema pendular com memória de forma

    Costa, Dimitri Danulussi AlvesUniversidade Federal do Rio de Janeiro2017

    … 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 …

    brazil-uerj Repository record

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