Dr Jacques E Furter

Contact

Mathematical Sciences John Crank 103 Brunel University Uxbridge UB8 3PH United Kingdom

Tel: +44 (0)1895 265183 Fax: +44 (0)1895 269732 Email: jacques.furter@brunel.ac.uk Web: Personal Website

Research Interests

Bifurcation theory. Applied singularity theory. Reaction-Diffusion problems. Symmetry breaking in elasticity.

Research Group Membership

Publications

Journal Papers

(2004) Furter, JE. and Sitta, AM., A note on non-degenerate umbilics and the path formulation for bifurcation problems, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 134 (6) : 1115- 1126

(2004) Furter, JE. and Sitta, AM., A note on the path formulation for (O(2),SO(2)) - forced symmetry breaking bifucation, Contemporary Mathematics 354 105- 112 Download publication

(2002) Furter, JE. and Sitta, AM., Dn-forced symmetry breaking of O(2)-equivariant problems, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 132 (5) : 1185- 1218

(1998) Furter, JE., Sitta, AM. and Stewart, I., Algebraic path formulation for equivariant bifurcation problems, Mathematical Proceedings of the Cambridge Philosophical Society 124 275- 304

(1997) Furter, JE. and LopezGomez, J., Diffusion-mediated permanence problem for a heterogeneous Lotka-Volterra competition model, Proceddings of the Royal Society of Edinburgh - Section A Mathematics 127 281- 336

(1997) Bridges, TJ., Furter, JE. and Lahiri, A., Instability and bifurcation near the symplectic 1 : 4 resonance, Dynamics and Stability of Systems 12 (4) : 271- 292

(1996) Furter, JE., Sitta, AM. and Stewart, I., Singularity theory and equivariant bifurcation problems with parameter symmetry, Mathematical Proceedings of the Cambridge Philosophical Society 120 (3) : 547- 578

(1995) Eilbeck, JC. and Furter, JE., Analysis of bifurcations in reaction-diffusion systems with no-flux boundary-conditions - the Selkov model, Proceddings of the Royal Society of Edinburgh - Section A Mathematics 125 413- 438

(1995) Furter, JE. and Lopez-Gomez, J., On the existence and uniqueness of coexistence states for the Lotka-Volterra competition model with diffusion and spatially dependent coefficients, Nonlinear Analysis: Theory, Methods and Applications 25 (4) : 363- 398

(1994) Eilbeck, JC., Furter, JE. and Lopezgomez, J., Coexistence in the competition model with diffusion, Journal of Differential Equations 107 (1) : 96- 139

(1993) Grinfeld, M., Furter, JE. and Eilbeck, JC., Corrigendum to ‘A monotonicity theorem and its application to stationary solutions of the phase field model’, IMA Journal of Applied Mathematics 50 (2) : 203- 204

(1992) Grinfeld, M., Furter, JE. and Eilbeck, JC., A monotonicity theorem and its application to stationary solutions of the phase field model, IMA Journal of Applied Mathematics 49 (1) : 61- 72

(1992) Brown, KJ. and Furter, JE., A singularity theory approach to a semilinear boundary value problem, Journal of Mathematical Analysis and Applications 166 (2) : 485- 506

(1989) Furter, J. and Grinfeld, M., Local vs. non-local interactions in population dynamics, Journal of Mathematical Biology 27 (1) : 65- 80

(1989) Eilbeck, JC., Furter, JE. and Grinfield, M., On a stationary state characterization of transition from spinodal decomposition to nucleation behaviour in the Cahn-Hilliard model of phase separation, Physics Letters A 135 (4-5) : 272- 275

(1989) Eilbeck, JC., Fife, PC., Furter, JE., Grinfeld, M. and Mimura, M., Stationary states associated with phase separation in a pure material. 1: The large latent heat case, Physics letters A 139 (1-2) : 42- 46

Conference Papers

(2000) Furter, JE., Path formulation and forced symmetry-breaking, 5th Workshop on Real and Complex Singularities, CH CRC RES NOTES (412) : 236- 250

(1992) Furter, JE., Hopf-bifurcation at nonsenisimple eigenvalues - a singularity theory approach, Conference and Workshop on Bifurcation and Symmetry: Cross Influences between Mathematics and Applications, INT S NUM M (104) : 135- 145

(1990) Eilbeck, JC. and Furter, JE., Understanding steady-state bifurcation diagrams for a model reaction-diffusion system, NATO Advanced Research Workshop on Continuation and Bifurcations: Numerical Techniques and Applications, NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences (313) : 25- 41

Book Chapters

(1993) Furter, JE., Symplectic structure vs. reversibility in the bifurcation of periodic points of maps. In: Perello, C., Simo, C. and Sola-Morales, J. eds. Equadiff-91: International Conference on Differential Equations : Barcelona, Spain 26-31 August 1991. Singapore : World Scientific Publishing Company 501- 506

(1991) Furter, JE., On the bifurcations of subharmonics in reversible systems. In: Singularity Theory and its Applications. Berlin/Heidelberg : Springer (1463) : 167- 192

Books

(2008) Bridges, TJ. and Furter, JE., Singularity theory and equivariant symplectic maps.