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Older publications
This page contains the list of my publications which were published before 1998.

  • Hopf bifurcation at k-fold resonances in conservative systems
    J. Knobloch & A. Vanderbauwhede
    Nonlinear Dynamical Systems and Chaos
    H.W. Broer, S.A. van Gils, I. Hoveijn & F. Takens (Eds.)
    Birkhäuser, Progress in Nonlin. Diff. Eqns. and Their Appl. Vol. 19 (1996) 155-170

  • A general reduction method for periodic solutions in conser-vative and reversible systems
    J. Knobloch & A. Vanderbauwhede
    Journal of Dynamics and Diff. Eqns. 8 (1996) 71-102

  • Normal forms and versal unfoldings of symplectic linear map-pings
    A. Vanderbauwhede
    Dynamical Systems and Applications
    R.P. Agarwal (Ed.)
    World Scientific Series in Appl. Anal. 4 (1995) 685-700

  • A general reduction method for periodic solutions near equi-libria in Hamiltonian systems
    A. Vanderbauwhede & J.C. van der Meer
    Normal Forms and Homoclinic Chaos
    W.F. Langford & W. Nagata (Eds.)
    Fields Institute Communications, A.M.S. Providence (1995) 273-294

  • Periodic solutions at resonances in reversible and conservative systems
    A. Vanderbauwhede
    XIV Cedya, Vic, Abstracts (1995) 103-104

  • Hopf bifurcation at k-fold resonances in equivariant reversible systems
    J. Knobloch & A. Vanderbauwhede
    Dynamics, Bifurcations and Symmetry - New Trends and New Tools
    P. Chossat (Ed.)
    Kluwer Acad. Publ., NATO ASI Series C437 (1994) 167-179

  • Hamiltonian structure of the reversible non-semisimple 1:1-resonance
    J.C. van der Meer, J. Sanders & A. Vanderbauwhede
    Dynamics, Bifurcations and Symmetry - New Trends and New Tools
    P. Chossat (Ed.)
    Kluwer Acad. Publ., NATO ASI Series C437 (1994) 221-240

  • Pitchfork interactions in equivariant bifurcation problems
    A. Vanderbauwhede
    Differential Equations - Proceedings Barcelona 1991
    C. Perelló, C. Simó & J. Solà-Morales (Eds.)
    World Scientific, Singapore (1993) 947-952

  • Cusp points and pitchfork bifurcations in equivariant bifurcation problems
    D. Lupo & A. Vanderbauwhede
    Diff. and Integral Eqns. 6 (1993) 721-756

  • Branching of periodic solutions in time-reversible systems
    A. Vanderbauwhede
    Geometry and Analysis in Non-Linear Dynamics
    H. Broer & F. Takens (Eds.)
    Pitman Research Notes in Math. 222 (1992) 97-113

  • Heteroclinic cycles and periodic orbits in reversible systems
    A. Vanderbauwhede
    Ordinary and delay differential equations
    J. Wiener & J.K. Hale (Eds.)
    Pitman Research Notes in Math. 272 (1992) 250-253

  • Bifurcation of degenerate homoclinics
    A. Vanderbauwhede
    Results in math. 21 (1992) 211-223

  • Homoclinic period blow-up in reversible and conservative sys-tems
    A. Vanderbauwhede & B. Fiedler
    Zeitschrift für Angew. Math. Phys. 43 (1992) 292-318

  • Periodic and homoclinic orbits in conservative and reversible systems
    A. Vanderbauwhede
    Bifurcation and Chaos: Analysis, Algorithms, Applications
    R. Seydel, F.W. Schneider, T. Küpper & H. Troger (Eds.)
    Birkhäuser Verlag, Basel (1991) 355-359

  • Subharmonic bifurcation in equivariant systems
    A. Vanderbauwhede
    Equadiff 7
    J. Kurzweil (Ed.)
    Teubner-Texte zur Mathemathik, Band 118, Leibzig (1990) 135-138

  • Hopf bifurcation for equivariant conservative and time-rever-sible systems
    A. Vanderbauwhede
    Proc. Royal Society of Edinburgh 116A (1990) 103-128

  • On the error estimation for a mixed type of interpolation
    H. De Meyer, J. Vanthournout, G. Vanden Berghe & A. Vanderbauwhede
    Journal of Computational and Appl. Math. 32 (1990) 407-415

  • Verzweigung in mechanischen Systemen
    T. Küpper, H. Troger, A. Vanderbauwhede & B. Werner
    Zeitschrift für Angew. Math. Mech. 70(4) (1990) 6-11

  • Subharmonic branching in reversible systems
    A. Vanderbauwhede
    SIAM Journal Math. Anal. 21 (1990) 954-979

  • Equivariant period doubling
    A. Vanderbauwhede
    Advanced Topics in the Theory of Dynamical Systems
    G. Fusco, M. Iannelli & L. Salvadori (Eds.)
    Note and Reports in Mathematics, Science and Engineering, vol. 6
    Academic Press (1989) 235-246

  • Secondary bifurcations in symmetric systems
    A. Vanderbauwhede, M. Krupa & M. Golubitsky
    Differential Equations - Proceedings of Equadiff 1987, Xanthi
    C. Dafermos, G. Ladas & G. Papanicolaou (Eds.)
    Marcel Dekker Inc., New York (1989) 709-716

  • On a reduction process for nonlinear equations
    A.D. Jepson & A. Spence (with an Appendix by A. Vanderbauwhede)
    SIAM Journal of Math. Anal. 20 (1989) 39-56

  • Period-doublings and orbit-bifurcations in symmetric systems
    A. Vanderbauwhede
    Banach Center Publ. (Warzawa) 23 (1989) 197-208

  • Center manifolds and their basic properties: an introduction
    A. Vanderbauwhede
    Delft Progress Report 12 (1888) 57-78

  • Symmetry and Dynamics
    B. Fiedler & A. Vanderbauwhede (Eds.)
    Extended abstracts of the Heidelberg 1986 Seminar
    SFB 123 Report 400 (1987), Heidelberg

  • Invariant manifolds in infinite dimensions
    A. Vanderbauwhede
    Dynamics of infinite-dimensional systems
    S.N. Chow & J.K. Hale (Eds.)
    Springer Verlag, NATO ASI Series, vol F37 (1987) 409-420

  • Secondary bifurcations of periodic solutions in autonomous systems
    A. Vanderbauwhede
    Oscillation, Bifurcation and Chaos
    F.V. Atkinson, W.F. Langford & A.B. Mingarelli (Eds.)
    C.M.S. Conference Proceedings, vol. 8 (1987) 693-701

  • Symmetry-breaking at positive solutions of elliptic equations
    A. Vanderbauwhede
    Bifurcation: Analysis, Algorithms, Applications
    T. Küpper, R. Seydel & H. Troger (Eds.)
    Birkhäuser Verlag (Basel), ISNM 79 (1987) 347-353

  • Note on a paper by H.S. Qin
    A. Vanderbauwhede
    Computers and Mathematics with Applications 14 (1987) 185-187

  • Symmetry-breaking at positive solutions
    A. Vanderbauwhede
    Zeitschrift für Angew. Math. Phys. 38 (1987) 315-326

  • Center manifolds and contractions on a scale of Banach spaces
    A. Vanderbauwhede & S. van Gils
    Journal of Funct. Anal. 72 (1987) 209-224

  • Hopf bifurcation at non-semisimple eigenvalues
    A. Vanderbauwhede
    Multi-parameter Bifurcation Theory
    M. Golubitsky & J. Guckenheimer (Eds.)
    A.M.S. Providence, Contemporary Mathematics 56 (1986) 343-353

  • Bifurcation of subharmonic solutions in time-reversible sys-tems
    A. Vanderbauwhede
    Zeitschrift für Angew. Math. Phys. 37 (1986) 455-478

  • Hopf bifurcation in symmetric systems
    A. Vanderbauwhede
    Archivum Mathematicum 22 (1986) 29-54

  • Bifurcation of periodic solutions in symmetric systems:
    an example
    A. Vanderbauwhede
    Delft Progress Report 10 (1985) 88-94

  • Bifurcation of periodic solutions in a rotationally symmetric os-cillation system
    A. Vanderbauwhede
    Journal für die Reine und Angewandte Mathematik 360 (1985) 1-18

  • Stability of bifurcating equilibria and the principle of reduced stability
    A. Vanderbauwhede
    Bifurcation Theory and Applications
    L. Salvadori (Ed.)
    Springer Lecture Notes in Math. 1057 (1984) 209-223

  • Bifurcation of subharmonic solutions: a generic approach
    A. Vanderbauwhede
    Differential Equations
    I.W. Knowles & R.T. Lewis (Eds.)
    North Holland, Mathematical Studies 92 (1984) 545-552

  • Stability of bifurcating solutions
    A. Vanderbauwhede
    Publications de l'U.E.R. Mathématiques Pures et Appliquées Université de Lille,
    vol. 5, fasc. 2 (1983) 11 p.

  • Bifurcation at multiple eigenvalues for equivariant mappings
    A. Vanderbauwhede
    Equadiff 82 - Proceedings of the Würzburg 1982 Conference
    H.W. Knobloch & K. Schmitt (Eds.)
    Springer Lecture Notes in Math. 1017 (1983) 616-624

  • Functional dependence and boundary value problems with fa-milies of solutions
    W.S. Loud & A. Vanderbauwhede
    Journal of Diff. Eqns. 47 (1983) 444-461

  • Note on symmetry and bifurcation near families of solutions
    A. Vanderbauwhede
    Journal of Diff. Eqns. 47 (1983) 99-106

  • Bifurcation for symmetric nonlinear boundary value problems
    A. Vanderbauwhede
    Evolution Equations and their Applications
    F. Kappel & W. Schappacher (Eds.)
    Research Notes in Mathematics 68, Pitman, London (1982) 229-246

  • Families of periodic solutions for autonomous systems
    A. Vanderbauwhede
    Dynamical Systems II
    A.R. Bednarek & L. Cesari (Eds.)
    Academic Press, New York (1982) 427-446

  • Bifurcation problems with triangular symmetry
    A. Vanderbauwhede
    Ordinay and Partial Differential Equations
    W.N. Everitt & B.D. Sleeman (Eds.)
    Springer Lecture Notes in math. 964 (1982) 686-694

  • Hopf bifurcation for abstract nonlinear equations
    A. Vanderbauwhede
    Trends in Applications of Pure Mathematics to Mechanics, vol. III
    R.J. Knops (Ed.)
    Pitman, London (1981) 218-234

  • Symmetry and bifurcation from multiple eigenvalues
    A. Vanderbauwhede
    Ordinary and Partial Differential Equations - Proceedings of the 1980 Dundee Conference
    W.N. Everitt & B.D. Sleeman (Eds.)
    Springer Lecture Notes in Math. 846 (1981) 356-365

  • Bifurcation at double eigenvalues for a class of symmetric Diri-chlet problems
    A. Vanderbauwhede
    Bull. Soc. Math. Belge B 33 (1981) 251-262

  • The inverse problem of dynamical systems: an alternative approach
    A. Vanderbauwhede
    Hadronic Journal 4 (1981) 1889-1975

  • Symmetry and bifurcation near families of solutions
    A. Vanderbauwhede
    Journal of Diff. Eqns. 36 (1980) 173-187

  • An abstract setting for the study of the Hopf bifurcation
    A. Vanderbauwhede
    Nonlinear Analysis, Theo. Meth. & Appl. 4 (1980) 547-566

  • Potential operators and variational principles: a generalisation
    A. Vanderbauwhede
    Hadronic Journal 2 (1979) 620-641

  • A useful result for certain linear periodic ordinary differential equations
    R. Meire & A. Vanderbauwhede
    Journal of Computational & Appl. Math. 5 (1979) 59-61

  • Bifurcation near multi-parameter families of solutions
    A. Vanderbauwhede
    Proc. of the Equadiff 78 Conference, Firenze, 1978, 9-23

  • Potential operators and the inverse problem of classical me-chanics
    A. Vanderbauwhede
    Hadronic Journal 1 (1978) 1177-1197

  • Generic bifurcation and symmetry, with an application to the von Kármán equations
    A. Vanderbauwhede
    Proc. Royal Soc. Edinburgh A 81 (1978) 211-235

  • Symmetric perturbations of non-linear equations: symmetry of small solutions
    H.M. Rodrigues & A. Vanderbauwhede
    Nonlinear Analysis, Theo. Meth. & Appl. 2 (1978) 27-46

  • Generic and non-generic bifurcation for the von Kármán equa-tions
    A. Vanderbauwhede
    Journal of Math. Anal & Appl. 66 (1978) 550-573

  • Some remarks on bifurcation and symmetry
    A. Vanderbauwhede
    Simon Stevin 51 (1978) 173-194

  • Alternative problems and invariant subspaces
    A. Vanderbauwhede
    Journal of Math. Anal. & Appl. 63 (1978) 1-8

  • Alternative problems and symmetry
    A. Vanderbauwhede
    Journal of Math. Anal. & Appl. 62 (1978) 483-494

  • A method for determining necessary and sufficient Liapunoff functions
    A. Vanderbauwhede
    Progress of Theoretical Physics 55 (1976) 1710-1722

  • On a modified degree theory for multi-valued mappings
    A. Vanderbauwhede
    Simon Stevin 50 (1976) 65-86

  • On the electronic structure of disordered alloys.
    I. General Theory
    A. Vanderbauwhede & P. Phariseau
    Physica 56 (1972) 297-311

  • On the electronic structure of disordered alloys.
    II. Application to point scatterers
    A. Vanderbauwhede & P. Phariseau
    Physica 56 (1972) 312-321

  • Electronic structure of disordered materials with strong angu-lar correlations
    A. Vanderbauwhede & P. Phariseau
    Physica 52 (1971) 561-572

  • Effect of External stresses on the optical absorption of U2-centers in alkali-halides
    A. Vanderbauwhede & P. Phariseau
    Zeitschrift für Physik 226 (1969) 435-445


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