Abstract
When proceeding to analyze the phase portraits of quadratic systems for mf >0, it should be realized that the presence of critical points in systems with mf >0 induces the possible occurrence of closed orbits. Closed orbits represent periodic solutions and they may be either imbedded in an annular region without other closed orbits (limit cycles) or be members of a family of closed orbits surrounding a center point and filling out a region containing precisely one center point in its interior.
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© 2007 Springer Science+Business Media, LLC
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(2007). Quadratic systems with center points. In: Phase Portraits of Planar Quadratic Systems. Mathematics and Its Applications, vol 583. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35215-2_6
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DOI: https://doi.org/10.1007/978-0-387-35215-2_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-30413-7
Online ISBN: 978-0-387-35215-2
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