ABSTRACT
The mathematical framework of dynamics, or more specifically dynamical systems theory (hereafter DST), is having a major impact across many sectors of contemporary biology and neuroscience. The DST toolkit (described in more detail shortly), which includes differential equations, geometric state-space analyses, and other visualization techniques such as attractor landscapes and bifurcation diagrams, is playing an increasingly important role in modeling and explaining the time-varying activity of biological and neural systems ranging from single neurons and local circuits to entire brain networks, biological populations, and complex ecosystems (for book-length treatments, see Abraham and Shaw 1992; Amit 1992; Izhikevich 2005; Strogatz 1994).
