3 papers
math.OC2013
A characterization of normal forms for control systems
Boumediene Hamzi, Jeroen S. W. Lamb, Debra Lewis
The study of the behavior of solutions of ODEs often benefits from deciding on a convenient choice of coordinates. This choice of coordinates may be used to "simplify" the function…
math.DS2012
Attractors and repellers near generic elliptic points of reversible maps
Sergey Gonchenko, Jeroen Lamb, Isabel Rios +1
We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along…
math.DS2006
One-dimensional Substitution Tilings with an Interval Projection Structure
Edmund O. Harriss, Jeroen S. W. Lamb
We study nonperiodic tilings of the line obtained by a projection method with an interval projection structure. We obtain a geometric characterisation of all interval projection ti…