New algorithm maps hidden structures in complex physical systems
Researchers have developed a computational method to find stable, lower-dimensional patterns within high-dimensional physical systems—a capability that could accelerate design of precision instruments, molecular dynamics simulations, and control systems. The advance makes it practical to locate these patterns without exhaustive trial-and-error searching.
Originaltitel: A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
<p>We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian system has as many parameters as the dimension of the normal dynamics, and the algorithm must adjust these parameters. We illustrate the methodology with an implementation of the algorithm computing 2-dimensional elliptic tori in a system of 4 coupled anharmonic oscillators (4 degrees of freedom).</p>