Planar Cubic Polynomial Differential Systems with the Maximum Number of Invariant Straight Lines
Copyright policy )Planar Cubic Polynomial Differential Systems with the Maximum Number of Invariant Straight Lines
We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological different classes of such systems. For every class we provide the configuration of its invariant straight lines in the Poincare disc. Moreover, every class is characterized by a set of affine invariant conditions.
58 pages, 2 Postscript figures, Latex
- University of Barcelona Spain
- Moldova State University Moldova (Republic of)
- Information Society Development Institute Moldova (Republic of)
- Universidad Autonoma de Barcelona
- Universitat Autònoma de Barcelona
limit cycle, polynomial, differential system, Dynamics induced by flows and semiflows, FOS: Mathematics, 34C05 ; 13A50, 13A50, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 34C05, Symmetries, invariants of ordinary differential equations
limit cycle, polynomial, differential system, Dynamics induced by flows and semiflows, FOS: Mathematics, 34C05 ; 13A50, 13A50, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 34C05, Symmetries, invariants of ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).17 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!