Numerical methods for static and periodic bifurcation problems. (English) Zbl 0999.65147
Summary: A numerical method is developed for static and periodic bifurcation problems. The procedure is based on an associated vector field which offers us a geometric insight and leads to some relative numerical techniques. The approach provides a new way to treat bifurcation problems computationally.
MSC:
| 65P30 | Numerical bifurcation problems |
| 37M20 | Computational methods for bifurcation problems in dynamical systems |
| 37G15 | Bifurcations of limit cycles and periodic orbits in dynamical systems |
Keywords:
dynamical system; nonlinear systems; static bifurcation problems; periodic bifurcation problemsReferences:
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