Author:
Balanov Z.,Kononovich A.,Krasnov Y.
Abstract
AbstractWe give an explicit formula for the projective dynamics of planar homogeneous polynomial differential systems in terms of natural local invariants and we establish explicit algebraic connections (syzygies) between these invariants (leading to restrictions on possible global dynamics). We discuss multidimensional generalizations together with applications to the existence of first integrals and bounded solutions.
Publisher
Cambridge University Press (CUP)
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