Linear Dynamics

Linear dynamics studies how systems evolve over time when their current state influences future states through linear relationships. In such systems, the change in a variable is directly proportional to its current value or other variables, without adding complex interactions. This framework applies to many phenomena, such as vibrations, population models, or electrical circuits, where the principles lead to predictable, well-understood behaviors like oscillations or steady growth. Essentially, linear dynamics provides tools to analyze and predict the behavior of systems where relationships are straightforward and proportional.