# A polynomial -system with the limit set consisting of four heteroclinic trajectories

## A polynomial -system with the limit set consisting of four heteroclinic trajectories

## Abstract

The limit set of a dynamical system plays an important role in studying its global behavior. It is

proved that bounded limit set is a continuum i.e. connected and compact [1, 3, 8]. However, unbounded

limit set may have enough complicated structure even for quadratic system [1-10]. We will give an

example of the polynomial system in the space , such that the -limit set of some trajectory consists

of four heteroclinic trajectories.

## References

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## Published

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/573