An improved lower bound on the number of limit cycles bifurcating from a quintic Hamiltonian planar vector field under quintic perturbation
2010 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 20, no 1, 63-70 p.Article in journal (Refereed) Published
The limit cycle bifurcations of a equivariant quintic planar Hamiltonian vector field under equivariant quintic perturbation is studied. We prove that the given system can have at least 27 limit cycles. This is an improved lower bound on the possible number of limit cycles that can bifurcate from a quintic planar Hamiltonian system under quintic perturbation.
Place, publisher, year, edition, pages
World Scientific Publishing , 2010. Vol. 20, no 1, 63-70 p.
Limit cycles, bifurcation theory, planar Hamiltonian systems, interval analysis
IdentifiersURN: urn:nbn:se:uu:diva-103153DOI: 10.1142/S0218127410025405ISI: 000275981100004OAI: oai:DiVA.org:uu-103153DiVA: diva2:217594