Chaotic systems are extremely sensitive to the initial conditions and parameters that define them. Minute perturbations of the parameters can even convert chaotic motion to periodic motion. This alliance between control methods and physics — cybernetical physics — opens the door to many applications, including dynamics-based computing. We recently published an article that introduces nonlinear dynamics and its rich, sometimes chaotic behavior as an engine of computation. After reviewing our previous work demonstrating how to compute using nonlinear dynamics, we describe the interrelationship between invariant measures of a dynamical system and its computing power to strengthen the bridge between physics and computation.
Our article was published in the Philosophical Transactions of the Royal Society, the world’s first and oldest science journal, which previously published work by Isaac Newton, Michael Faraday, and James Clerk Maxwell. Of course, no comparison between our work and theirs is intended, except via a logarithmic scale. 🙂