Publications
171 results found
DOERING CR, GIBBON JD, HOLM DD, 1990, FINITE DIMENSIONALITY IN THE COMPLEX GINZBURG-LANDAU EQUATION, WORKSHOP ON NONLINEAR EVOLUTION EQUATIONS : INTEGRABILITY AND SPECTRAL METHODS, Publisher: MANCHESTER UNIV PRESS, Pages: 463-475
Gibbon JD, 1990, Why the NLS equation is simultaneously a success, a failure and a mediocrity in the theory of nonlinear waves, Nonlinear evolution equations: integrability and spectral methods, Editors: Degasperis, Fordy, Lakshmanan, Publisher: Manchester University Press
BARTUCCELLI M, CONSTANTIN P, DOERING CR, et al., 1989, HARD TURBULENCE IN A FINITE DIMENSIONAL DYNAMICAL SYSTEM, PHYSICS LETTERS A, Vol: 142, Pages: 349-356, ISSN: 0375-9601
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- Citations: 21
Gibbon JD, Constantine P, Foias C, 1989, Finite dimensional attractor in the laser equations, Nonlinearity, Vol: 2, Pages: 241-269
Gibbon JD, Doering CR, Holm DD, et al., 1989, Low dimensional behaviour in the CGL equation, Contemporary Mathematics, Vol: 99, Pages: 117-141
Gibbon JD, Doering CR, Holm DD, et al., 1989, Finite dimensionality in the complex Ginzburg Landau equation, Contemporary Mathematics, Vol: 99, Pages: 117-142
DOERING CR, ELGIN JN, GIBBON JD, et al., 1988, FINITE DIMENSIONALITY IN THE LASER EQUATIONS IN THE GOOD CAVITY LIMIT, PHYSICS LETTERS A, Vol: 129, Pages: 310-316, ISSN: 0375-9601
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- Citations: 4
Doering CR, Gibbon JD, Holm DD, et al., 1988, Low-dimensional behaviour in the complex Ginzburg-Landau equation, NONLINEARITY, Vol: 1, Pages: 279-309, ISSN: 0951-7715
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- Citations: 187
Gibbon JD, Newell AC, Tabor M, et al., 1988, Lax pairs, Backlund transformations & special solutions for ordinary differential equations, Nonlinearity, Vol: 1, Pages: 481-490
Gibbon JD, Doering CR, Holm DD, et al., 1988, Low dimensional behaviour in the CGL equation, Nonlinearity, Vol: 1, Pages: 270-309
DOERING CR, GIBBON JD, HOLM DD, et al., 1987, EXACT LYAPUNOV DIMENSION OF THE UNIVERSAL ATTRACTOR FOR THE COMPLEX GINZBURG-LANDAU EQUATION, PHYSICAL REVIEW LETTERS, Vol: 59, Pages: 2911-2914, ISSN: 0031-9007
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- Citations: 33
Gibbon JD, Doering CR, Holm DD, et al., 1987, Finite upper bound on the Lyapunov dimension in the CGL equation, Physics Review Letters, Vol: 59, Pages: 2911-2914
IF F, CHRISTIANSEN PL, ELGIN JN, et al., 1986, A NUMERICAL-MODEL OF THE SOLITON LASER, PHYSICA D, Vol: 23, Pages: 362-368, ISSN: 0167-2789
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- Citations: 3
ELGIN JN, GIBBON JD, HOLMES C, et al., 1986, SPATIAL EFFECTS AND THE ECKHAUS INSTABILITY IN THE LASER AND LORENZ EQUATIONS, PHYSICA D, Vol: 23, Pages: 19-26, ISSN: 0167-2789
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- Citations: 3
IF F, CHRISTIANSEN PL, ELGIN JN, et al., 1986, A THEORETICAL AND COMPUTATIONAL STUDY OF THE SOLITON LASER, OPTICS COMMUNICATIONS, Vol: 57, Pages: 350-354, ISSN: 0030-4018
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- Citations: 11
TABOR M, GIBBON JD, 1986, ASPECTS OF THE PAINLEVE PROPERTY FOR PARTIAL-DIFFERENTIAL EQUATIONS, PHYSICA D, Vol: 18, Pages: 180-189, ISSN: 0167-2789
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- Citations: 16
Gibbon JD, Elgin JN, Molina-Garza J, et al., 1986, Modulational Instabilities in homogeneously broadened lasers, Nonlinear phenomena and chaos, Editors: Sarkar, Sarkar, Publisher: Adam Hilger, Pages: 246-246
Gibbon JD, Elgin JN, If F, et al., 1986, Theoretical and computational study of the soliton laser, Optics Communication, Vol: 57, Pages: 350-350
Gibbon JD, Elgin JN, If F, et al., 1986, A numerical model of the soliton laser, Physica D, Vol: 23, Pages: 362-362
Gibbon JD, Elgin JN, If F, et al., 1986, A numerical model of the soliton laser, Physica D, Vol: 23, Pages: 362-362
Gibbon JD, Radmore P, Wood D, et al., 1985, Painleve property & Hirota's method, Studies in Applied Mathematics, Vol: 72, Pages: 39-63
GIBBON JD, 1985, A SURVEY OF THE ORIGINS AND PHYSICAL IMPORTANCE OF SOLITON-EQUATIONS, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 315, Pages: 335-365, ISSN: 1364-503X
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- Citations: 29
JENSEN JH, CHRISTIANSEN PL, ELGIN JN, et al., 1985, CORRELATION EXPONENTS FOR TRAJECTORIES IN THE LOW-DIMENSIONAL DISCRETE SELFTRAPPING EQUATION, PHYSICS LETTERS A, Vol: 110, Pages: 429-431, ISSN: 0375-9601
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- Citations: 23
Gibbon JD, Atiyah M, Wilson G, 1985, New developments in the theory and application of Solitons, Publisher: The Royal Society
GIBBON JD, TABOR M, 1985, ON THE ONE-DIMENSIONAL AND TWO-DIMENSIONAL TODA-LATTICES AND THE PAINLEVE PROPERTY, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 26, Pages: 1956-1960, ISSN: 0022-2488
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- Citations: 12
Gibbon JD, Tabor M, 1985, Hirota's method and the Painleve property, Dynamical Problems in Soliton systems, Editors: Takeno, Publisher: Springer
BERKSHIRE FH, GIBBON JD, 1983, COLLAPSE IN THE N-DIMENSIONAL NON-LINEAR SCHRODINGER-EQUATION - A PARALLEL WITH SUNDMAN RESULTS IN THE N-BODY PROBLEM, STUDIES IN APPLIED MATHEMATICS, Vol: 69, Pages: 229-262, ISSN: 0022-2526
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- Citations: 39
GIBBON JD, MCGUINNESS MJ, 1983, THE REAL AND COMPLEX LORENZ EQUATIONS, PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, Vol: 83, Pages: 17-22, ISSN: 0035-8975
FOWLER AC, GIBBON JD, MCGUINNESS MJ, 1983, THE REAL AND COMPLEX LORENZ EQUATIONS AND THEIR RELEVANCE TO PHYSICAL SYSTEMS, PHYSICA D, Vol: 7, Pages: 126-134, ISSN: 0167-2789
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- Citations: 78
FOWLER AC, GIBBON JD, MCGUINNESS MJ, 1982, THE COMPLEX LORENTZ EQUATIONS, PHYSICA D, Vol: 4, Pages: 139-163, ISSN: 0167-2789
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- Citations: 224
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