Studies in chaos using stochastic methods
Healy, Edward A.
MetadataShow full item record
Methods of chaos have been used to classify many heretofore inexplicable nonlinear dynamical systems in fields as diverse as ecology to engineering and economics to meteorology. This thesis presents the mathematical background needed to understand chaos as well as the engineering techniques used to study the nature of dynamical systems. Several dynamical systems are studied using two probabilistic measures of chaos, fractal correlation dimension and the multivariate scaling analysis. A new technique for developing a multivariate scaling analysis using a time embedding procedure is presented. The dynamical systems studied include the Lorenz equations, Duffing's equation and helicopter flight vibrations
Showing items related by title, author, creator and subject.
Identification and control of non-linear time-varying dynamical systems using artificial neural networks Dror, Shahar (Monterey, California. Naval Postgraduate School, 1992-09);Identification and control of non-linear dynamical systems is a very complex task which requires new methods of approaching. This research addresses the problem of emulation and control via the use of distributed parallel ...
Jin, Yan; Liu, Qianyu (2009-06);Along with the advance of technologies and evolving variety of military missions, Edge Organization has been proposed to transform C2 from its conventional hierarchical and inflexible structures into more network centric ...
Pugliese, Antonio; Enos, James; Nilchiani, Roshanak (Monterey, California. Naval Postgraduate School, 2018-04-30); SYM-AM-18-165The approach of the Department of Defense (DoD) to acquisition programs is strongly based on systems engineering. DoD Directive 5000.01 calls for "the application of a systems engineering approach that optimizes total ...