Approved for public release; distribution is unlimited / A group of lesser used analog control system design techniques, generally termed parameter plane methods, is examined through the use of an IBM compatible microcomputer program developed as part of this thesis. The coefficients of a system's characteristic polynomial are determined by the plant and any added compensators. As these coefficients are varied , so too are the roots of the characteristic equation and therefore the system response in terms of bandwidth, settling time, etc. In the parameter plane method, a designer selects two parameters of a system's compensator(s) . The parameters commonly represent such attributes as a compensator gain, pole, or zero but can be any linear system function. One or more system characteristics dictating desired system performance, such as relative damping or undamped natural frequency, are computer model inputs. The associated parameter values to achieve the input characteristics are output in graphical and/or tabular form. / http://archive.org/details/parameterplanean00kran / Lieutenant Commander, United States Navy

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Made available in DSpace on 2016-12-12T20:15:52Z (GMT). No. of bitstreams: 1 Rodrigo Antonio da Silva.pdf: 16150641 bytes, checksum: 4f03858f903f15428bb43b27fd6e1fe8 (MD5) Previous issue date: 2015-02-27 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this work we investigate parameter planes constructed for a set of three autonomous, ten-parameter, first-order nonlinear ordinary differential equations, which models a tri-trophic food web system. By using Lyapunov exponents, bifurcation diagrams, and trajectories in the phase-space, to numerically characterize the dynamics of the model in a parameter plane, we show that it presents typical periodic structures embedded in a chaotic region, forming spiral structures that coils up around a focal point while period-adding bifurcation take place. / Nesse trabalho investigamos planos de parâmetros construídos para um conjunto de três equações diferenciais ordinárias, autônomas, não lineares de primeira ordem com dez parâmetros que modela uma cadeia alimentar tritrófica. Usamos expoentes de Lyapunov, diagramas de bifurcação, e curvas no espaço de fase para caracterizar numericamente a dinâmica do modelo em um plano de parâmetro e, mostramos que este apresenta estruturas periódicas típicas em meio à regiões caóticas, formando espirais que se enrolam ao redor de um ponto focal ao passo que surgem bifurcações de adição de período.