论文信息 - On locating connecting orbits - 字舞流文

On locating connecting orbits

Abstract An extension of a method for computing connecting orbits that locates such orbits in a systematic manner is presented. As an application we compute homoclinic orbits in a singular perturbation problem.

Mark J. Friedman | Eusebius J. Doedel | Anand C. Monteiro

[1] Mark J. Friedman,et al. Numerical computation of heteroclinic orbits , 1989 .

[2] Mark J. Friedman,et al. Numerical analysis and accurate computation of heteroclinic orbits in the case of center manifolds , 1993 .

[3] Mark J. Friedman,et al. Numerical computation and continuation of invariant manifolds connecting fixed points , 1991 .

[4] H. B. Keller,et al. Boundary Value Problems on Semi-Infinite Intervals and Their Numerical Solution , 1980 .

[5] Wolf-Jürgen Beyn. Global Bifurcations and their Numerical Computation , 1990 .

[6] Stephen Schecter,et al. Numerical computation of saddle-node homoclinic bifurcation points , 1993 .

[7] Wolf-Jürgen Beyn,et al. The Numerical Computation of Connecting Orbits in Dynamical Systems , 1990 .

[8] Mark J. Friedman,et al. Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study , 1993 .