Vyasarayani, Chandrika PrakashUchida, ThomasMcPhee, John2017-03-162017-03-162012-03-02https://doi.org/10.1103/PhysRevE.85.036201http://hdl.handle.net/10012/11521© American Physical Society. The original publication is available at: Vyasarayani, C. P., Uchida, T., & McPhee, J. (2012). Single-shooting homotopy method for parameter identification in dynamical systems. Physical Review E, 85(3). https://doi.org/10.1103/PhysRevE.85.036201An algorithm for identifying parameters in dynamical systems is developed in this work using homotopy transformations and the single-shooting method. The equations governing the dynamics of the mathematical model are augmented with observer-like homotopy terms that smooth the objective function. As a result, premature convergence to a local minimum is avoided and the obtained parameter estimates are globally optimal. Numerical examples are presented to demonstrate the application of the proposed approach to chaotic systems.enArticle