Rivularia and oscillators are types of blue-green algae. However, oscillators belong to the family oscillatoriaceae, while Rivularia takes the family Rivulariaceae. Rivularia usually grows on submerged stones, moist rocks, and damp soils that are very close to the riverside. Other places where these bacteria can be found include streams, lakes, and rivers.
They are usually found in colonies and are usually packed together closely. Akinetes are not present in Rivularia, and it lacks false branching as well. Rivularia cells also lack organelles. Rivularia actually reproduces through the formation of homogeneous. Oscillatoria happens to be a genus of filamentous blue, green algae that occur in tangled mats or singly in freshwater environments, including hot springs. Its only means of reproduction is through vegetative means only. The filaments in oscillators are in an oscillating manner; and this is one key thing that gives it the name it bears. Oscillatoria are filamentous and non-differentiated in their basic morphology.
One thing that you should know about these things is that they are both known as blue-green algae. They do have some differences though that will help you distinguish one from the other. They sort of have different structures with the Ruvaloria found in some colonies while the Oscillatoria can come in different rows of cells.
The main reason why Oscillatoria has gotten its name is it comes with the characteristics that are oscillatory. Their morphology is also a bit different. They are both filamentous but the oscillatoria is non differentiated while the Ruvaloria is heterocystous. Their filaments are also different because the Ruvaloria will come with radiating filaments while the oscillatoria will have oscillating filaments.