## dedicated to professor jack k. hale on the occasion of his 70th birthday We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C 2 has a rational first integral, and the third one studies the number of multiple points that a
โฆ LIBER โฆ
Invariant Curves and Topological Invariants for Real Plane Analytic Vector Fields
โ Scribed by Jean-Jacques Risler
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 136 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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Two new types of real (i.e., noninteger) local vertex invariants (LOVIs), denoted by c, and c; and called distance-enhanced exponential connectivities, are defiied via eqs. ( 1)-( 3) and (1')-(3'), respectively. Only the case when the exponent z equals 1 in eqs. ( 3) and (3') is discussed in detail.