The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems
This paper is about the number of limit cycles for a quintic near-Hamiltonian system. It is proved that the system can have 20, 22, 24 limit cycles with different distributions of limit cycles for each case. The limit cycles are obtained by using the methods of bifurcation theory and qualitative analysis. (c) 2006 Elsevier Ltd. All rights reserved.
limit cycle near-hamiltonian system bifurcation hilbert's 16(th) problem stability