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This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) project at Los Alamos National Laboratory (LANL). This is a fundamental research project whose aim is exploiting the last decades' progress in understanding the dynamics of nonlinear andor noisy systems in applications to a variety of problems in theoretical physics, chemistry and biology. The common denominator here is the fundamental role played by the combination of nonlinearity, noise and/or disorder in the dynamics of both simple and complex systems, and the underlying theoretical problems have much in common within the paradigms of nonlinear science. This project extends a technology base relevant to a variety of problems arising in applications of nonlinearity in science, and applies this technology to those problems. Thus, numerical simulations and experiments focused on nonlinear and stochastic processes provide important insights into nonlinear science, while nonlinear techniques help advance our understanding of the scientific principles underlying the control of complex behavior in systems with strong spatial and temporal internal variability.