Dynamical systems are mathematical models that describe the behavior of complex systems over time through the use of differential equations or difference equations. These systems focus on how a point in a space moves over time, influenced by its current state and the rules defined by the system. They play a critical role in understanding stability, periodicity, and chaos in various applications, especially when analyzed using eigenvalues and eigenvectors.
congrats on reading the definition of Dynamical Systems. now let's actually learn it.