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Showing 1 to 20 of 55 for “"Periodic solutions"”.

  1. Periodic solutions of differential equations

    Lloyd, Noel GlynneUniversity of Cambridge1972

    cambridge

  2. Periodic solutions of nonlinear wave equations

    Fokam, Jean-MarcelDepartment of Mathematics and Applied Mathematics1999

    This thesis is devoted to the construction of periodic solutions for partial differential equations. The study of periodic solutions was introduced by H. Poincare in the memoire he presented on the three body problem. By looking at periodic and asymptotics solutions he discovered what today we call …

    cape-town Repository record

  3. Periodic Solutions in Higher Order Nonlinear Systems

    Silverman, BernardUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-04T21:02:40Z (GMT). No. of bitstreams: 1 0009141.pdf: 2815870 bytes, checksum: 0594708855464ad0f3eaeaf41edf8a18 (MD5) Previous issue date: 1954

    uiuc Repository record

  4. Periodic Solutions of Chaotic Partial Differential Equations With Symmetries

    Lopez, VanessaUniversity of Illinois at Urbana-Champaign2015

    We consider the problem of finding relative time-periodic solutions of chaotic partial differential equations with symmetries. Relative time-periodic solutions are solutions which are periodic in time, up to a transformation by an element of the equations' symmetry group. First, we work with the …

    uiuc Repository record

  5. Stability of periodic solutions to nonlinear Klein-Gordon equations

    Venkatasubbu, NanjundamurthyUniversity of Illinois at Urbana-Champaign2013

    We study the stability of periodic travelling wave solutions to nonlinear Klein-Gordon equations, subject to small and localized perturbations. Using the periodic Evans function technique, we analyze the spectrum of a linearized quadratic eigenvalue pencil associated with the linearized equation, …

    uiuc Repository record

  6. On the Stability of Periodic Solutions of Nonlinear Dispersive Equations

    Johnson, Mathew A.University of Illinois at Urbana-Champaign2015

    Finally, we show how our results extend to other classes of dispersive equations. In particular, we derive modulational and finite-wavelength instability indices for the generalized Benjamin-Bona-Mahony (gBBM) equation, as well as the generalized Camassa-Holm equation. Moreover, we prove a …

    uiuc Repository record

  7. Never breaking quasi-periodic solutions of weakly nonlinear gas dynamics

    Shefter, Michael G., 1970-Massachusetts Institute of Technology1997

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.

    mit Repository record

  8. Some New Results on Composition-Delay Equations with Asymptotically Periodic Solutions

    Guy, RichardWake Forest University2009

    … to higher order equations with asymptotically periodic solutions. A study of solutions to the equation $$y_n = \min \{ y_{n-k_1}-y_{n-m_1} , y_{n-k_2}-y_{n-m_2} \}$$ is presented. Related results are then obtained for a class of difference equations satisfying certain symmetry and monotonicity …

    wfu Repository record

  9. LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS

    TERRACINA, SHULAMITUniversità degli Studi di Milano2025

    … on tori and we prove existence results of quasi-periodic large amplitude solutions for fluid-dynamic models in more than one space-dimension and a stability result for the linear Klein-Gordon Equation with a small quasi-periodic perturbation. In the first part of the thesis, where we consider two …

    milano Repository record

  10. ΑΝΑΛΥΤΙΚΗ ΚΑΙ ΑΡΙΘΜΗΤΙΚΗ ΜΕΛΕΤΗ ΤΩΝ ΠΕΡΙΟΔΙΚΩΝ ΛΥΣΕΩΝ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ ΤΩΝ ΤΡΙΩΝ ΣΩΜΑΤΩΝ

    Παπαδάκης, ΚωνσταντίνοςUniversity of Patras1988

    THE SUBJECT OF THE PRESENT DISSERTATION IS THE PERIODIC SOLUTIONS OF THE THREE-BODY PROBLEM IN TWO AND THREE DIMENSIONS AND, IN PARTICULAR, THE DETERMINATION OF THESE SOLUTIONS BY ANALYTIC APPROXIMATIONS AND NUMERICAL METHODS. IN THE FIRST PART (CHAPTERS 1 TO 5) WE STUDY ANALYTICALLY AND …

    greece Repository record

  11. The Structure of Multipulse Solitons in the Generalised Nonlinear Schrödinger Equation

    Bandara, RavindraResearchSpace@Auckland2022

    … bi-asymptotic trajectories, known as homoclinic solutions, corresponding to solitons. We take advantage of the mathematical properties of reversibility and existence of a Hamiltonian of the ODE to show that there exist infinite families of symmetric and non-symmetric homoclinic solutions to the …

    auckland-ms Repository record

  12. An investigation of flow-induced vibrations of a steam-generator tube

    Yanna, Marc-GabrielVirginia Tech1993

    … to cross flow and study the stability of periodic solutions, bifurcations, and the route to chaos. The fluid-stiffness-controlled mechanism is chosen to represent the fluid forces and the impact forces are modeled by a piece-wise-Iinear spring. A two-point boundary-value algorithm is used …

    vt Repository record

  13. Periodic q-difference equations

    Chieochan, RotchanaMissouri University of Science and Technology2016

    <p>"The concept of periodic functions defined on the real numbers or on the integers is a classical topic and has been studied intensively, yielding numerous applications in every kind of science. It is of importance that the real numbers and the integers are closed with respect to addition. …

    must-thes Repository record

  14. Patterns in an elastic bar

    Alruwaili, AbdulmohsenUniversity of Strathclyde2020

    … define and prove existence and uniqueness of periodic solutions with any number n ≥ 0 of internal zeroes for all ɑ, γ > 0 and discuss the existence of non-periodic solutions.;The Euler-Lagrange equation contains conditions that make it diffcult to track, and then dropping one of them we obtain …

    strathclyde Repository record

  15. ΠΕΡΙΟΔΙΚΕΣ ΚΑΙ ΑΣΥΜΠΤΩΤΙΚΕΣ ΛΥΣΕΙΣ ΓΥΡΩ ΑΠΟ ΑΣΤΑΘΗ ΣΗΜΕΙΑ ΙΣΟΡΡΟΠΙΑΣ ΣΤΟ ΠΡΟΒΛΗΜΑ ΤΩΝ ΤΡΙΩΝ ΣΩΜΑΤΩΝ

    Περδίος, ΕυστάθιοςUniversity of Patras1985

    THE PERIODIC SOLUTIONS OF NON-INTEGRABLE DYNAMICAL SYSTEMS HAVE BEEN THE SUBJECT OF A GREAT DEAL OF RESEARCH, AND ARE OF PARTICULAR IMPORTANCE IN THE STUDY OF MECHANICAL SYSTEMS. A NON-INTEGRABLE DYNAMICAL SYSTEM CANNOT BE DESCRIBED BY ANALYTICAL METHODS AND NUMERICAL TREATMENT, WITH THE USE OF …

    greece Repository record

  16. Exploring the Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Layer Interactions

    Hashemi, NastaranVirginia Tech2008

    … the numerical pseudo-arclength continuation of periodic solutions. We first use these numerical approaches to explore the nonlinear dynamics of the cantilever. We find the coexistence of three steady state oscillating solutions: (i) periodic with low-amplitude, (ii) periodic with high-amplitude, …

    vt Repository record

  17. On the N-body Problem

    Xie, Zhifu2006

    … is also studied. Many different types of periodic solutions involving single binary collisions and simultaneous binary collisions are constructed. In section 4, the linear stability is studied for the Kepler orbits of the rhombus four-body problem. We show that, for given four proper …

    byu Repository record

  18. Coupled orbit-attitude mission design in the circular restricted three-body problem

    Guzzetti, Davide

    … model, such as the orbit-attitude CR3BP, periodic solutions allow delineation of the fundamental dynamical structures. Periodic solutions are also a subset of motions that are bounded over an infinite time-span (assuming no perturbing factors), without the necessity to integrate over an …

    purdue-thes Repository record

  19. INTERPOLATION OF RIGID-BODY MOTION AND GALERKIN METHODS FOR FLEXIBLE MULTIBODY DYNAMICS

    Han, Shilei2019

    … than initial value problems; two-point and periodic boundary problems, in particular, are quite common. For instance, the trajectory optimization of robotic arms and spacecrafts is formulated as a two-point boundary value problem; determination of the periodic dynamic response of helicopter …

    maryland Repository record

  20. Generic planar lattice patterns in liquid crystals

    Lockett, TheresaUniversity of Southampton2010

    … of steady states and go on to calculate the time periodic solutions resulting from Hopf bifurcations in the same planar layer of liquid crystal. We describe the possible symmetries of the system by the group ?L x S1, (or just ?L in the steady states), ?L = (H n T2) x Z2, where H is the holohedry …

    soton Repository record

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