• Conventional Multipliers for Homoclinic Orbits 

      Afraimovich, Valentine; Liu, Weishi; Young, Todd R. (Georgia Institute of Technology, 1995-01-30)
      In this work we introduce and describe conventional multipliers, a new characteristic of homoclinic orbits of saddle-node type periodic trajectories. We prove existence and smooth dependence of conventional multipliers on ...
    • Partially Hyperbolic Sets from a Co-Dimension One Bifurcation 

      Young, Todd R. (Georgia Institute of Technology, 1994)
      We study the saddle-node bifurcation of a partially hyperbolic fixed point in a Lipschitz family of C^k diffeomorphisms on a Banach manifold (possibly infinite dimensional) in the case that the fixed point is a saddle along ...