Highly Influenced

# Centennial History of Hilbert’s 16th Problem

@inproceedings{ILYASHENKO2002CentennialHO, title={Centennial History of Hilbert’s 16th Problem}, author={YU. ILYASHENKO}, year={2002} }

- Published 2002

The second part of Hilbert’s 16th problem deals with polynomial differential equations in the plane. It remains unsolved even for quadratic polynomials. There were several attempts to solve it that failed. Yet the problem inspired significant progress in the geometric theory of planar differential equations, as well as bifurcation theory, normal forms, foliations and some topics in algebraic geometry. The dramatic history of the problem, as well as related developments, are presented below. §1… CONTINUE READING

#### From This Paper

##### Figures, tables, and topics from this paper.

47 Citations

133 References

Similar Papers