Abstract
Hilbert's Sixteenth Problem concerns the number and relative position of limit cycles in a planar polynomial system of differential equations. We show, using multiple Hopf bifurcation from multiple fine foci, that limit cycle configurations of types (3, 3, -2, -2) and (2, 2, 1, 1, -1) occur in symmetric cubic systems.
Original language | English (US) |
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Pages (from-to) | 2323-2328 |
Number of pages | 6 |
Journal | Computers and Mathematics with Applications |
Volume | 56 |
Issue number | 9 |
DOIs | |
State | Published - Nov 2008 |
Keywords
- Cubic systems
- Hilbert's Sixteenth Problem
- Hopf bifurcation
- Limit cycles
ASJC Scopus subject areas
- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics