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Original Articles

A projective direct method for the computation of hopf bifurcation points

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Pages 231-244 | Published online: 19 Mar 2007

References

  • Griewank , A . and Reddien , W. 1983 . The calculation of Hopf points by a direct method . M. A. J. Numer. Anal , 3 : 295 – 303 .
  • Jepson A. D. Numerical Hopf bifurcation, Thesis , part II California Institute of Technology Pasadena, California 1981
  • Keller , H. B. 1977 . “ Numerical solution of bifurcation and nonlinear eigenvalue problems, in Applications of Bifurcation Theory ” . Edited by: Rabinowitz , P. H. 359 – 384 . New York : Academic Press .
  • Krasnosel , M. A. 1972 . “ skii et al, Approximate Solution of Operator Equations ” . Groningen : Wolters-Noordhoff .
  • Kumar , S. 1988 . Superconvergence of a collocation-type method for simple turning points of Hammer-stein equations . Math. Comp , 50 : 385 – 398 .
  • Moret , I. 1992 . A projection method for computing turning points of nonlinear equations . Computing , 48 : 133 – 147 .
  • Moret , I. 1994 . The approximation of generalized turning points by Krylov subspace methods . Numer. Math , 68 : 341 – 353 .
  • Moret , I. 1994 . Krylov-type methods for the computation of critical solutions of nonlinear equations . Numer. Fund. Anal, and Optimiz , 15 : 77 – 86 .
  • Moret , I. and Omari , P. 1991 . A quasi-Newton method for solving fixed point problems in Hilber spaces . Numer. Math , 59 : 159 – 177 .
  • Roose , D. 1985 . An algorithm for the computation of Hopf bifurcation points in comparison with other methods . J. Comput. Appl. Math , 12 ( 13 ) : 517 – 529 .
  • Roose , D. and Hlavacek , V. 1983 . Numerical computation of Hopf bifurcation points for parabolic diffusion-reaction differential equations . SIAM J. Appl. Math , 43 ( 13 ) : 1075 – 1085 .
  • Roose , D. and Hlavacek , V. 1985 . A direct method for the computation of Hopf bifurcation points . SIAM J. Appl. Math , 45 ( 13 ) : 879 – 894 .

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