Thomas Bartsch

Learn More
The paper is concerned with the local and global bifurcation structure of positive solutions u, v ∈ H 1 0 (() of the system −u + u = µ 1 u 3 + βv 2 u in −v + v = µ 2 v 3 + βu 2 v in of nonlinear Schrödinger (or Gross-Pitaevskii) type equations in ⊂ R N , N ≤ 3. The system arises in nonlinear optics and in the Hartree–Fock theory for a double condensate.(More)
This paper introduces a framework for a highly constrained sports scheduling problem which is modeled from the requirements of various professional sports leagues. We define a sports scheduling problem, introduce the necessary terminology and detail the constraints of the problem. A set of artificial and real-world instances derived from the actual problems(More)
Recent developments in transition state theory brought about by dynamical systems theory are extended to time-dependent systems such as laser-driven reactions. Using time-dependent normal form theory, the authors construct a reaction coordinate with regular dynamics inside the transition region. The conservation of the associated action enables one to(More)
The crossing of a transition state in a multidimensional reactive system is mediated by invariant geometric objects in phase space: An invariant hyper-sphere that represents the transition state itself and invariant hyper-cylinders that channel the system towards and away from the transition state. The existence of these structures can only be guaranteed if(More)