Computing connecting orbits via an improved algorithm for continuing invariant subspaces

SIAM Journal on Scientific Computing

Volumn 22, Issue 1, 2000, Pages 81-94

  Demmel, J W ^a   Dieci, L ^a   Friedman, M J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bifurcations; Connecting orbits; Invariant subspaces; Numerical continuation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ITERATIVE METHODS; PARAMETER ESTIMATION;

CONNECTING ORBITS; CONTINUING INVARIANT SUBSPACES; NUMERICAL CONTINUATION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0034456294     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827598344868     Document Type: Article

References (15)

1. The numerical computation of connecting orbits in dynamical systems
2. Global bifurcations and their numerical computation
3. Simultaneous Newton's iteration for the eigenproblem
4. A numerical toolbox for homoclinic bifurcation analysis
5. Three methods for refining estimates of invariant subspaces
6. On smooth decomposition of matrices
7. Continuation of invariant subspaces
8. AUT097: Continuation and bifurcation software for ordinary differential equations (with HomCont)
9. AUT094: Software for continuation and bifurcation problems in ordinary differential equations
10. Successive continuation for locating connecting orbits
11. Improving the accuracy of computed eigenvalues and eigenvectors
12. Numerical computation and continuation of invariant manifolds connecting fixed points
13. Matrix computations
14. Computation and parametrization of periodic and connecting orbits
15. Error and perturbation bounds for subspaces associated with certain eigenvalue problems