Research on Nonlinear and Stochastic Dynamics with Defense Applications

摘要

The objectives of project were: (1) inducing chaos in electronic circuits and applications and (2) stochastic resonance and applications. In close collaboration with AFRL scientists, we addressed a number of basic issues associated with our previously developed method of resonant perturbations for inducing chaos. We also explored some fundamental issues in stochastic resonance, focusing on the interplay between phase synchronization and the resonance. We initiated a new area of research: nonlinear dynamics and chaos in microelectro- mechanical systems. In addition, we obtained results on low- dimensional chaotic systems, chaotic scattering, spatially-extended dynamical systems, and synchronization in complex systems. The outcomes of the project were 38 papers published in, accepted by, or submitted to refereed journals, with a number of collaborative papers with AFRL scientists. One Ph.D. and four Master students graduated under full or partial support from the project, and 14 invited talks on research derived from the project were given.