Method II:The energy-momentum map

In this chapter we apply the energy–momentum map reduction method to the same class of systems as in Chap. 2, namely two degree-of-freedom systems with optional symmetry, near equilibrium and close to resonance. We calculate the tangent space and nondegeneracy conditions for the 1:2, 1:3 and 1:4 resonances starting from a Birkhoff normalized Hamiltonian. The case of the spring-pendulum close to 1:2 resonance is treated in more detail. We arrive at a polynomial model which is different from the one found in Chap. 2, and which has an additional saddle–node bifurcation.

Route information from a central route planner

We present a discussion of a problem posed by researchers of the comapny Ericsson, namely, to estimate the fraction of road users in a road network that must participate in a central route planning scheme such that travel time predictions improve significantly. The aim of this work is to derive a measure of travel time performance depending on the number of road users who are participating in the central route planner. The approach is mainly of a statistical nature