EINDHOVEN UNIVERSITY OF TECHNOLOGY Department of Mathematics and Computer Science CASA-Report 09-31 September 2009 Relative equilibria and bifurcations in the generalized van der Waals 4-D oscillator by G. Díaz, J. Egea, S. Ferrer, J.C. van der Meer, J.A. Vera Centre for Analysis, Scientific computing and Applications Department of Mathematics and Computer Science Eindhoven University of Technology P.O. Box 513 5600 MB Eindhoven, The Netherlands ISSN: 0926-4507