👉 In mathematics, "homogeneous" and "homoclinic" are terms used to describe certain types of periodic solutions in dynamical systems. Homogenous means that a differential equation or system is defined on a domain that contains all its points. In other words, it has an infinite set of solutions for any initial condition (i.e., the function's value at a point). Homoclinic means that if two solutions are homogeneously coupled, then one solution will eventually approach and become
