### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | Universiteit Twente |

Number of pages | 25 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 1997 |

### Publication series

Name | Memorandum / Faculty of Applied Mathematics |
---|---|

Publisher | University of Twente, Faculty of Applied Mathematics |

No. | 1371 |

### Keywords

- METIS-141235
- IR-30594

### Cite this

*About convergence of numerical approximations to homoclinic twist bifurcation points in Z2-symmetric systems in R^4*. (Memorandum / Faculty of Applied Mathematics; No. 1371). Enschede: Universiteit Twente.

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*About convergence of numerical approximations to homoclinic twist bifurcation points in Z2-symmetric systems in R^4*. Memorandum / Faculty of Applied Mathematics, no. 1371, Universiteit Twente, Enschede.

**About convergence of numerical approximations to homoclinic twist bifurcation points in Z2-symmetric systems in R^4.** / van Gils, Stephanus A.; Tchistiakov, V.; Tchistiakov, V.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - About convergence of numerical approximations to homoclinic twist bifurcation points in Z2-symmetric systems in R^4

AU - van Gils, Stephanus A.

AU - Tchistiakov, V.

AU - Tchistiakov, V.

N1 - Memorandum fac. TW nr 1371

PY - 1997

Y1 - 1997

N2 - An algorithm to detect homoclinic twist bifurcation points in Z2 - symmetric autonomous systems of ordinary differential equations in R4 along curves of symmetric homoclinic orbits to hyperbolic equilibria has been developed. We show convergence of numerical approximations to homoclinic twist bifurcation points in such systems. A test function is defined on the homoclinic solutions, which has a regular zero in the codimensiontwo bifurcation points. This codimension-two singularity can be continued appending the test function to a three parameter vector field. We demonstrate the use of the test function on several examples of two coupled Josephson junctions.

AB - An algorithm to detect homoclinic twist bifurcation points in Z2 - symmetric autonomous systems of ordinary differential equations in R4 along curves of symmetric homoclinic orbits to hyperbolic equilibria has been developed. We show convergence of numerical approximations to homoclinic twist bifurcation points in such systems. A test function is defined on the homoclinic solutions, which has a regular zero in the codimensiontwo bifurcation points. This codimension-two singularity can be continued appending the test function to a three parameter vector field. We demonstrate the use of the test function on several examples of two coupled Josephson junctions.

KW - METIS-141235

KW - IR-30594

M3 - Report

SN - 0169-2690

T3 - Memorandum / Faculty of Applied Mathematics

BT - About convergence of numerical approximations to homoclinic twist bifurcation points in Z2-symmetric systems in R^4

PB - Universiteit Twente

CY - Enschede

ER -