论文信息 - Discrete Hopf bifurcation for Runge-Kutta methods

Discrete Hopf bifurcation for Runge-Kutta methods

An investigation into how well real bifurcations in the family of dynamical systems are approximated as the step-size varies is carried out. The preservation of bifurcation structures and stability under numerical simulations is discussed. In addition, the behaviour of numerical solutions generated by a Runge–Kutta method applied to a dynamical system whose analytical solution undergoes a Hopf bifurcation is investigated. Hopf bifurcation results for the numerical solution are presented and analysed.

Nikolaos S. Christodoulou | N. Christodoulou

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