Question
i live in south central kansas. i have these trees with almost fern like branches that grow like weeds but look very very similar to a mimosa tree but there are no  blooms at all. i hope to identify this tree so i can find out how to keep them from growing back as aggressively as they are.

Answer
This is Mimosa.

There are several ways to control mimosa. The best is cutting the larger trees and painting Roundup (glyophosate)  on the fresh cut stump. The tree will take the Roundup to the roots killing them. For sprouts spray the Roundup on the foliage (if there is grass or other plants under the sprouts wipe the foliage with a rag wet with roundup) Roundup will kill any green plant so try to keep it off plants not wanting to be killed. Wear plastic gloves if wiping to keep the oder of Roundup off your hands. Here are other ways.
Management Recommendations
Mechanical Controls
Cutting: Cut trees at ground level with power or manual saws. Cutting is most effective when trees have begun to flower to prevent seed production. Because mimosa spreads by suckering, resprouts are common after treatment. Cutting is an initial control measure and will require either an herbicidal control or repeated cutting for resprouts.
Girdling: Use this method on large trees where the use of herbicides is impractical. Using a hatchet, make a cut through the bark encircling the base of the tree, approximately 15 cm (6 in) above the ground. Be sure that the cut goes well into or below the cambium layer. This method will kill the top of the tree but resprouts are common and may require follow-up treatments for several years until roots are exhausted.
Hand Pulling: Mimosa is effectively controlled by manual removal of young seedlings. Plants should be pulled as soon as they are large enough to grasp, but before they produce seeds. Seedlings are best pulled after a rain when the soil is loose. The entire root must be removed since broken fragments may resprout.
Biological Controls
Mimosa Wilt: Fusarium oxysporum f. perniciosum is a fungus that attacks mimosa in the U.S. and is transferred through the soil. It infects its host through the root system and may be fatal to the tree. It is not used at present and further research is needed.
Herbicidal Controls
Foliar Spray Method: This method should be considered for large thickets of mimosa seedlings where risk to non-target species is minimal. Air temperature should be above 65掳F to ensure absorption of herbicides.
Glyphosate: Apply a 2% solution of glyphosate and water plus a 0.5% non-ionic surfactant to thoroughly wet all leaves. Use a low pressure and coarse spray pattern to reduce spray drift damage to non-target species. Glyphosate is a non-selective systemic herbicide that may kill non-target partially-sprayed plants.
Triclopyr: Apply a 2% solution of triclopyr and water plus a 0.5% non-ionic surfactant to thoroughly wet all leaves. Use a low pressure and coarse spray pattern to reduce spray drift damage to non-target species. Triclopyr is a selective herbicide for broadleaf species. In areas where desirable grasses are growing under or around mimosa, triclopyr can be used without non-target damage.
Cut Stump Method: This control method should be considered when treating individual trees or where the presence of desirable species preclude foliar application. Stump treatments can be used as long as the ground is not frozen.
Glyphosate: Horizontally cut stems at or near ground level. Immediately apply a 50% solution of glyphosate and water to the cut stump, covering the outer 20% of the stump.
Triclopyr: Horizontally cut stems at or near ground level. Immediately apply a 50% solution of triclopyr and water to the cut stump, covering the outer 20% of the stump.
Basal Bark Method: This method is effective throughout the year as long as the ground is not frozen. Apply a mixture of 25% triclopyr and 75% horticultural oil to the basal parts of the tree to a height of 30-38 cm (12-15 in) from the ground. Thorough wetting is necessary for good control; spray until run-off is noticeable at the ground line.