Department of Mathematical Sciences

Research Output

1992

Solitary waves with surface tension I: Trajectories homoclinic to periodic orbits in four dimensions

Amick, C. J. & Toland, J. F., 1 Mar 1992, In : Archive for Rational Mechanics and Analysis. 118, 1, p. 37-69 33 p.

Research output: Contribution to journalArticle

1991

An integral for a reaction-diffusion system

Britton, N. F., 1991, In : Applied Mathematics Letters. 4, 1, p. 43-47 5 p.

Research output: Contribution to journalArticle

A theoretical study of the Ã2A1-X̃ 2E transition in trifluoromethoxy radical

Francisco, J. S., Li, Z. & Williams, I. H., 15 Nov 1991, In : Chemical Physics Letters. 186, 4-5, p. 343-345 3 p.

Research output: Contribution to journalArticle

Cavitation, the incompressible limit, and material inhomogeneity

Sivaloganathan, J., 1 Jan 1991, In : Quarterly of Applied Mathematics. 49, 3, p. 521-541

Research output: Contribution to journalArticle

Open Access

Equilibrium states in the degree theory of periodic orbits with a first integral

Dancer, E. N. & Toland, J. F., Nov 1991, In : Proceedings of the London Mathematical Society. s3-63, 3, p. 569-594 26 p.

Research output: Contribution to journalArticle

H-type groups and Iwasawa decompositions

Cowling, M., Dooley, A. H., Korányi, A. & Ricci, F., 1991, In : Advances in Mathematics. 87, 1, p. 1-41

Research output: Contribution to journalArticle

Odometer actions on G-measures

Brown, G. & Dooley, A. H., 1991, In : Ergodic Theory and Dynamical Systems. 11, 02, p. 279-307

Research output: Contribution to journalArticle

Points of egress in problems of Hamiltonian dynamics

Amick, C. J. & Toland, J. F., 1 Mar 1991, In : Mathematical Proceedings of the Cambridge Philosophical Society. 109, 2, p. 405-417 13 p.

Research output: Contribution to journalArticle

REDUCE as a numerical tool

Fitch, J. P., 1991, Proceedings of the IV International Conference on Computer Algebra in Physical Research. Shirkov, D. V., Rostovtsev, V. A. & Gerdr, V. P. (eds.). World Scientific, p. 89-97 9 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Uniqueness and related analytic properties for the Benjamin-Ono equation -a nonlinear Neumann problem in the plane

Amick, C. J. & Toland, J. F., 1 Dec 1991, In : Acta Mathematica. 167, 1, p. 107-126 20 p.

Research output: Contribution to journalArticle

1990

A Delivery System for REDUCE

Fitch, J. P., Aug 1990, Proceedings of the international symposium on Symbolic and Algebraic Computation (ISSAC90). Association for Computing Machinery, p. 76-81 6 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

A differential equation in the theory of resonant oscillations of water waves

Amick, C. J. & Toland, J. F., 1 Jan 1990, In : Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 114, 1-2, p. 15-26 12 p.

Research output: Contribution to journalArticle

Bootstrap choice of bandwidth for density estimation

Faraway, J. J. & Jhun, M., 1 Jan 1990, In : Journal of the American Statistical Association. 85, 412, p. 1119-1122 4 p.

Research output: Contribution to journalArticle

Degree theory for orbits of prescribed period of flows with a first integral

Dancer, E. N. & Toland, J., May 1990, In : Proceedings of the London Mathematical Society. s3-60, 3, p. 549-580 32 p.

Research output: Contribution to journalArticle

Implementing semiparametric density estimation

Faraway, J., 1 Jan 1990, In : Statistics and Probability Letters. 10, 2, p. 141-143 3 p.

Research output: Contribution to journalArticle

Les G mesures

Dooley, A. H., 1990, Seminaire d'Analyse Harmonique Année 1989/1990. Orsay, France: Universite Paris XI, Vol. 4. p. 37-48

Research output: Chapter in Book/Report/Conference proceedingChapter

1989

Aggregation and the competitive exclusion principle

Britton, N. F., 9 Jan 1989, In : Journal of Theoretical Biology. 136, 1, p. 57-66 10 p.

Research output: Contribution to journalArticle

A homotopy invariant for dynamical systems with a first integral

Toland, J., 1989, Ordinary and PArtial Differential Equations, Volume II. Sleeman, B. D. & Jarvis, R. J. (eds.). Harlow, U. K.: Longman, p. 204-217 (Pitman Research Notes in Mathematics; no. 216).

Research output: Chapter in Book/Report/Conference proceedingChapter

A mathematical model of the gate control theory of pain

Britton, N. F. & Skevington, S. M., 7 Mar 1989, In : Journal of Theoretical Biology. 137, 1, p. 91-105 15 p.

Research output: Contribution to journalArticle

A nonabelian version of the Shannon sampling theorem

Dooley, A. H., 1989, In : SIAM Journal on Mathematical Analysis (SIMA). 20, 3, p. 624-633

Research output: Contribution to journalArticle

Can REDUCE be run in parallel?

Fitch, J. P., Jul 1989, Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: Association for Computing Machinery, p. 155-162 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Computer Algebra and Parallelism

Della-Dora, J. (ed.) & Fitch, J. P. (ed.), 1989, Elsevier Academic Press Inc.

Research output: Book/ReportBook

Duality for families of natural variational principles in nonlinear electrostatics

Toland, J. & Willis, J. R., 30 Nov 1989, In : Siam Journal on Mathematical Analysis. 20, 6, p. 1283-1292

Research output: Contribution to journalArticle

Instability in mortality estimation schemes related to stage-structure population models

Wood, S. N., Blythe, S. P., Gurney, W. S. C. & Nisbet, R. M., 1989, In : Mathematical Medicine and Biology - A Journal of the Ima. 6, 1, p. 47-68 22 p.

Research output: Contribution to journalArticle

Solvability of differential operators on semiradial products

Dooley, A. H., 1989, In : Proceedings of the Centre for Mathematical Analysis. 24, p. 79-82

Research output: Contribution to journalArticle

1988

A class of ergodic measures

Brown, G. & Dooley, A. H., 1988, In : Proceedings of the Centre for Mathematical Analysis. 16, p. 8-14

Research output: Contribution to journalArticle

A Loosely Coupled Parallel LISP Execution System

Fitch, J. P., Apr 1988, Design and Application of Parallel Digital Processors, 1988., International Specialist Seminar on the. IEE, Vol. 298. p. 128-133 6 p. (IEE Conference Publication).

Research output: Chapter in Book/Report/Conference proceedingChapter

A singular dispersion relation arising in a caricature of a model for morphogenesis

Britton, N. F., 1988, In : Journal of Mathematical Biology. 26, 4, p. 387-403 17 p.

Research output: Contribution to journalArticle

Central lacunary sets for Lie groups

Dooley, A. H., 1988, In : Journal of the Australian Mathematical Society. 45, 01, p. 30-45

Research output: Contribution to journalArticle

Implications of rank one convexity

Sivaloganathan, J., 1 Mar 1988, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 5, 2, p. 99-118 20 p.

Research output: Contribution to journalArticle

Periodic solutions for a class of Lorenz-Lagrangian systems

Toland, J. F., 1 May 1988, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 5, 3, p. 211-220 10 p.

Research output: Contribution to journalArticle

The structure of null Lagrangians

Olver, P. J. & Sivaloganathan, J., 1988, In : Nonlinearity. 1, 2, p. 389-398 10 p., 005.

Research output: Contribution to journalArticle

1987

Invariant differential operators on some Lie groups

Battesti, F. D. & Dooley, A. H., 1987, In : Proceedings of the Centre for Mathematical Analysis. 15, p. 6-20

Research output: Contribution to journalArticle

Mathematical models for a G0 phase in Saccharomyces cerevisiae

Britton, N. F. & Wheals, A. E., 7 Apr 1987, In : Journal of Theoretical Biology. 125, 3, p. 269-281 13 p.

Research output: Contribution to journalArticle

One-dimensional theory of haemofilters

Britton, N. F. & Waniewski, J., 1987, In : Mathematical Medicine and Biology - A Journal of the Ima. 4, 1, p. 59-68 10 p.

Research output: Contribution to journalArticle

Self-esteem and perception of attractiveness: an investigation of early rheumatoid arthritis

Skevington, S. M., Blackwell, F. & Britton, N. F., Mar 1987, In : British Journal of Medical Psychology. 60, 1, p. 45-52 8 p.

Research output: Contribution to journalArticle

The semi-analytic theory of standing waves

Amick, C. J. & Toland, J., 8 May 1987, In : Proceedings of The Royal Society of London. 411, 1840, p. 123-137

Research output: Contribution to journalArticle

Utilisation du calcul formel

Fitch, J. P., 1987, Calcul Formel et Automatique. Chenin, P. (ed.). Paris: Editions du CNRS, p. 119-136 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1986

An index for Hamiltonian systems with a natural order structure

Toland, J., 1986, Nonlinear Functional Analysis and its Applications. Singh, S. P. (ed.). Dordrecht, Geramny: Springer, p. 147-160 (NATO ASI Series C; vol. 173).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations.

Toland, J., 1986, Proceedings of Symposia in Pure Mathematics. p. 447-459

Research output: Chapter in Book/Report/Conference proceedingConference contribution

LISP, A mature environment for problem solving

Fitch, J. P., 1986, Proceedings of the IFIP TC 2/WG 2.5 Working Conference on Problem Solving Environments for Scientific Computing. Ford, B. & Chatlin, F. (eds.). North-Holland Publishing Co., p. 367-377 11 p.

Research output: Chapter in Book/Report/Conference proceedingChapter