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Noise induced changes to dynamic behaviour of stochastic delay differential equations
Norton, Stewart J.
Norton, Stewart J.
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2008-02
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main thesis
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Abstract
This thesis is concerned with changes in the behaviour of solutions to parameter-dependent stochastic delay differential equations.
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Norton, S.J., & Ford, N.J. (2006). Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Communications on Pure and Applied Analysis, 5(2), pp. 367-382.
Norton, S.J., & Ford, N.J. (2005). Numerical investigation of D-bifurcations for a stochastic delay logistic equation. Stochastics and dynamics, 5(2), pp. 211-222
Ford, N.J., & Norton, S.J. (2007). Using approximations to Lyapunov exponents to predict changes in dynamical behaviour in numerical solutions to stochastic delay differential equations. In A. Iske & J. Levesley (Eds.), Algorithms for approximation, V (pp. 309-318). Berlin: Springer.
Ford, N.J., & Norton, S.J. (2009). Noise-induced changes to the behaviour of semi-implicit Euler methods for stochastic delay differential equations undergoing bifurcation. Journal of Computational and Applied Mathematics, 229(2), pp. 462-170
Norton, S.J., & Ford, N.J. (2005). Numerical investigation of D-bifurcations for a stochastic delay logistic equation. Stochastics and dynamics, 5(2), pp. 211-222
Ford, N.J., & Norton, S.J. (2007). Using approximations to Lyapunov exponents to predict changes in dynamical behaviour in numerical solutions to stochastic delay differential equations. In A. Iske & J. Levesley (Eds.), Algorithms for approximation, V (pp. 309-318). Berlin: Springer.
Ford, N.J., & Norton, S.J. (2009). Noise-induced changes to the behaviour of semi-implicit Euler methods for stochastic delay differential equations undergoing bifurcation. Journal of Computational and Applied Mathematics, 229(2), pp. 462-170
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University of Liverpool (University of Chester)
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Thesis or dissertation
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