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Global bifurcation for discrete competitive systems in the plane. (English) Zbl 1175.37058

The authors obtain a global bifurcation result for families of competitive systems of difference equations in the plane and give examples of application of this result.

MSC:

37G35 Dynamical aspects of attractors and their bifurcations
39A10 Additive difference equations
39A30 Stability theory for difference equations
39A23 Periodic solutions of difference equations
39A28 Bifurcation theory for difference equations
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