• Chaos in the Hill system 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (arXiv, 1999-12)
    We define the general Hill system and briefly analyze its dynamical behavior. A particular Hill system representing the interaction of a Keplerian binary system with a normally incident circularly polarized gravitational ...
  • Contraction and decoupling inequalities for multilinear forms and u-statistics 

    De la Peña, Víctor; Montgomery-Smith, Stephen, 1963-; Szulga, Jerzy (2011-01)
    We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ...
  • Gravitational ionization: a chaotic net in the Kepler system 

    Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1997-03)
    The long-term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ...
  • Oscillators: resonances and excitations 

    Felts, K. R., 1978- (University of Missouri--Columbia, 2009)
    This thesis is a compilation of work done in the field of oscillators. One topic is an investigation into impact oscillators and their properties. The second topic is concerned with excitation of oscillators. The thesis ...