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Gray, Brian F.

Co-Author Distance
Author ID: gray.brian-f Recent zbMATH articles by "Gray, Brian F."
Published as: Gray, B. F.; Gray, Brian F.
Documents Indexed: 34 Publications since 1982
Reviewing Activity: 14 Reviews
Biographic References: 1 Publication
Co-Authors: 25 Co-Authors with 30 Joint Publications
468 Co-Co-Authors
all top 5

Co-Authors

2 single-authored
9 Wake, Graeme Charles
7 Forbes, Lawrence K.
5 Roberts, M. J.
4 Mercer, Geoffry Norman
4 Sidhu, Harvinder Singh
4 Weber, Rodney O.
3 Merkin, John H.
3 Sexton, M. Jane
2 Graham-Eagle, James
2 McIntosh, Andy C.
2 Myerscough, Mary R.
2 Sisson, Robert Anthony
2 Swift, Adrian
2 Watt, Simon D.
1 Balakrishnan, Easwaran
1 Burnell, J. B.
1 Derrick, William R.
1 Hogarth, W. L.
1 Kalliadasis, Serafim
1 Lazarovici, A.
1 Macskill, C.
1 Norbury, John W.
1 Scott, Stephen K.
1 Sherrington, M. E.
1 Thuraisingham, Ranjit Arulnayagam
all top 5

Serials

10 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
4 Mathematical and Computer Modelling
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 The ANZIAM Journal
3 IMA Journal of Applied Mathematics
3 Dynamics and Stability of Systems
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Bulletin of Mathematical Biology
1 Combustion Theory and Modelling
all top 5

Fields

21 Classical thermodynamics, heat transfer (80-XX)
17 Ordinary differential equations (34-XX)
14 Biology and other natural sciences (92-XX)
9 Partial differential equations (35-XX)
5 Dynamical systems and ergodic theory (37-XX)
3 Fluid mechanics (76-XX)
2 Numerical analysis (65-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

24 Publications have been cited 172 times in 134 Documents Cited by ▼ Year ▼
An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Zbl 0749.92022
Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J.
40
1992
Combustion waves for gases \((Le=1)\) and solids \((Le\to \infty)\). Zbl 0885.76105
Weber, R. O.; Mercer, G. N.; Sidhu, H. S.; Gray, B. F.
33
1997
Analysis of chemical kinetic systems over the entire parameter space. I: The Sal’nikov thermokinetic oscillator. Zbl 0635.34027
Gray, B. F.; Roberts, M. J.
11
1988
A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters. Zbl 0688.34029
Gray, B. F.; Roberts, M. J.
11
1988
Disjoint bifurcation diagrams in combustion systems. Zbl 0758.35083
Gray, B. F.; Merkin, J. H.; Wake, G. C.
8
1991
The self-heating of damp cellulosic materials. I: High thermal conductivity and diffusivity. Zbl 0773.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
7
1992
Combustion pseudo-waves in a system with reactant consumption and heat loss. Zbl 0887.35154
Mercer, G. N.; Weber, R. O.; Gray, B. F.; Watt, S. D.
7
1996
On the structural stability of the cubic autocatalytic scheme in a closed vessel. Zbl 0673.93070
Gray, B. F.; Merkin, J. H.; Roberts, M. J.
5
1989
On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502
Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F.
5
1991
The self-heating of damp cellulosic materials. II: On the steady states of the spatially distributed case. Zbl 0781.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
4
1993
Critical initial conditions for thermal ignition. Zbl 0792.35098
Gray, B. F.; Wake, G. C.
4
1993
Thermal stabilization of chemical reactors. II: Bifurcation analysis of the Endex CSTR. Zbl 0982.92038
Ball, R.; Gray, B. F.
4
1999
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
4
1994
Self-heating and drying in two-dimensional bagasse piles. Zbl 0998.80003
Sexton, M. J.; Macaskill, C.; Gray, B. F.
4
2001
Analysis of chemical kinetic systems over the entire parameter space. II: Isothermal oscillators. Zbl 0635.34028
Gray, B. F.; Roberts, M. J.
4
1988
An asymptotic analysis of the Sal’nikov thermokinetic oscillator. Zbl 0635.34029
Gray, B. F.; Roberts, M. J.
4
1988
The suppression of an exothermic branched-chain flame through endothermic reaction and radical scavenging. Zbl 1013.80006
Gray, B. F.; Kalliadasis, S.; Lazarovici, A.; Macaskill, C.; Merkin, J. H.; Scott, S. K.
4
2002
A new scaling of a problem in combustion theory. Zbl 0742.35032
Wake, G. C.; Burnell, J. B.; Graham-Eagle, J. G.; Gray, B. F.
3
1990
Combustion waves: Non adiabatic. Zbl 0851.76097
Weber, R. O.; Mercer, G. N.; Gray, B. F.; Watt, S. D.
3
1995
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045
Sexton, M. J.; Forbes, L. K.; Gray, B. F.
2
1997
Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029
Gray, B. F.; Forbes, L. K.
2
1994
Analysis of the unified thermal and chain branching model of hydrocarbon oxidation. Zbl 0833.92027
Sidhu, H. S.; Forbes, L. K.; Gray, B. F.
1
1995
Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129
Forbes, Lawrence K.; Gray, Brian F.
1
1998
Thermal stabilization of chemical reactors. I: The mathematical description of the Endex reactor. Zbl 0930.34034
Gray, B. F.; Ball, R.
1
1999
The suppression of an exothermic branched-chain flame through endothermic reaction and radical scavenging. Zbl 1013.80006
Gray, B. F.; Kalliadasis, S.; Lazarovici, A.; Macaskill, C.; Merkin, J. H.; Scott, S. K.
4
2002
Self-heating and drying in two-dimensional bagasse piles. Zbl 0998.80003
Sexton, M. J.; Macaskill, C.; Gray, B. F.
4
2001
Thermal stabilization of chemical reactors. II: Bifurcation analysis of the Endex CSTR. Zbl 0982.92038
Ball, R.; Gray, B. F.
4
1999
Thermal stabilization of chemical reactors. I: The mathematical description of the Endex reactor. Zbl 0930.34034
Gray, B. F.; Ball, R.
1
1999
Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129
Forbes, Lawrence K.; Gray, Brian F.
1
1998
Combustion waves for gases \((Le=1)\) and solids \((Le\to \infty)\). Zbl 0885.76105
Weber, R. O.; Mercer, G. N.; Sidhu, H. S.; Gray, B. F.
33
1997
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045
Sexton, M. J.; Forbes, L. K.; Gray, B. F.
2
1997
Combustion pseudo-waves in a system with reactant consumption and heat loss. Zbl 0887.35154
Mercer, G. N.; Weber, R. O.; Gray, B. F.; Watt, S. D.
7
1996
Combustion waves: Non adiabatic. Zbl 0851.76097
Weber, R. O.; Mercer, G. N.; Gray, B. F.; Watt, S. D.
3
1995
Analysis of the unified thermal and chain branching model of hydrocarbon oxidation. Zbl 0833.92027
Sidhu, H. S.; Forbes, L. K.; Gray, B. F.
1
1995
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
4
1994
Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029
Gray, B. F.; Forbes, L. K.
2
1994
The self-heating of damp cellulosic materials. II: On the steady states of the spatially distributed case. Zbl 0781.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
4
1993
Critical initial conditions for thermal ignition. Zbl 0792.35098
Gray, B. F.; Wake, G. C.
4
1993
An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Zbl 0749.92022
Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J.
40
1992
The self-heating of damp cellulosic materials. I: High thermal conductivity and diffusivity. Zbl 0773.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
7
1992
Disjoint bifurcation diagrams in combustion systems. Zbl 0758.35083
Gray, B. F.; Merkin, J. H.; Wake, G. C.
8
1991
On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502
Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F.
5
1991
A new scaling of a problem in combustion theory. Zbl 0742.35032
Wake, G. C.; Burnell, J. B.; Graham-Eagle, J. G.; Gray, B. F.
3
1990
On the structural stability of the cubic autocatalytic scheme in a closed vessel. Zbl 0673.93070
Gray, B. F.; Merkin, J. H.; Roberts, M. J.
5
1989
Analysis of chemical kinetic systems over the entire parameter space. I: The Sal’nikov thermokinetic oscillator. Zbl 0635.34027
Gray, B. F.; Roberts, M. J.
11
1988
A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters. Zbl 0688.34029
Gray, B. F.; Roberts, M. J.
11
1988
Analysis of chemical kinetic systems over the entire parameter space. II: Isothermal oscillators. Zbl 0635.34028
Gray, B. F.; Roberts, M. J.
4
1988
An asymptotic analysis of the Sal’nikov thermokinetic oscillator. Zbl 0635.34029
Gray, B. F.; Roberts, M. J.
4
1988
all cited Publications top 5 cited Publications
all top 5

Cited by 186 Authors

14 Merkin, John H.
14 Sidhu, Harvinder Singh
11 Forbes, Lawrence K.
10 Gubernov, Vladimir Vladimirovich
9 Kar, Tapan Kumar
9 Mercer, Geoffry Norman
7 Gray, Brian F.
7 McIntosh, Andy C.
7 Nelson, Mark Ian
7 Wake, Graeme Charles
4 Balakrishnan, Easwaran
4 Brindley, John
4 Marchant, Timothy R.
4 Polezhaev, A. A.
4 Scott, Stephen K.
4 Weber, Rodney O.
3 Chakraborty, Kunal
3 Gray, John Mark Nicholas Timm
3 Pahari, U. K.
3 Paul, Rhys A.
3 Simon, Peter L.
3 Swift, Adrian
2 Al Noufaey, K. S.
2 Alharthi, Muteb R.
2 Billingham, John
2 Derrick, William R.
2 Din, Qamar
2 Duan, Xiaodong
2 Ghazaryan, Anna R.
2 Holmes, Catherine A.
2 Jana, Soovoojeet
2 Jovanoski, Zlatko
2 Kalliadasis, Serafim
2 Khan, Muhammad Asif
2 Lafortune, Stéphane
2 Leach, Jannie A.
2 Liu, Chao
2 McLarnan, Peter
2 Miroshnichenko, Taisia P.
2 Needham, David John
2 Sexton, M. Jane
2 Shah, Abhijit A.
2 Towers, Isaac N.
2 Watt, Simon D.
2 Zhang, Qingling
1 Abid, Walid
1 Acharya, Sattwika
1 Aghriche, Ahmed
1 Alsharawi, Ziyad
1 Amirtharaj, George Maria Selvam
1 Ancey, Christophe
1 Barry, Steven Ian
1 Beezley, Jonathan D.
1 Ben Haj Rhouma, Mohamed
1 Bennethum, Lynn S.
1 Bhattacharyya, Rakhi
1 Cao, Hongjun
1 Castro, Alfonso
1 Chakraborty, Milon
1 Chapiro, Grigori
1 Chatterjee, Anal
1 Chaudhuri, Kripa Sindhu
1 Chen, Boshan
1 Chen, Zheng
1 Cima, Joseph A.
1 Coen, Janice L.
1 Das, Sanjoy
1 Das, Uttam
1 Dhakshinamoorthy, Vignesh
1 Douglas, Craig C.
1 Edwards, Maureen P.
1 Egorova, Vera N.
1 Faria, Luiz M.
1 Fattahpour, Haniyeh
1 Filimonov, Valeriy Yurievich
1 Fu, Chaojin
1 Fu, Sheng-Chen
1 Furtado, Lucas
1 Gadam, Sudhasree
1 Gakkhar, Sunita
1 Galbusera, Luca
1 Gan, Xinjun
1 Ghazaryan, Anna
1 Ghorai, Abhijit
1 Goldin, Andrei Yu.
1 Graham-Eagle, James
1 Greenberg, Jerrold Barry
1 Griffiths, J. F.
1 Guin, Lakshmi Narayan
1 Guo, Zhiming
1 Guria, Srabani
1 Hening, Alexandru
1 Hickson, Roslyn I.
1 Hu, Dongpo
1 Huang, Qingdao
1 Huang, Shaoyuan
1 Jones, Christopher K. R. T.
1 Kalachev, Leonid V.
1 Kang, Ensil
1 Kasimov, Aslan R.
...and 86 more Authors
all top 5

Cited in 51 Serials

13 Mathematical and Computer Modelling
11 Journal of Mathematical Chemistry
11 Combustion Theory and Modelling
8 Dynamics and Stability of Systems
7 Journal of Engineering Mathematics
7 The ANZIAM Journal
4 Applied Mathematics and Computation
4 Applied Mathematical Modelling
4 Nonlinear Dynamics
4 Nonlinear Analysis. Real World Applications
3 Mathematical Methods in the Applied Sciences
3 Communications in Nonlinear Science and Numerical Simulation
3 MATCH - Communications in Mathematical and in Computer Chemistry
2 Journal of Fluid Mechanics
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Chaos, Solitons and Fractals
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Meccanica
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 European Journal of Mechanics. B. Fluids
2 Advances in Difference Equations
2 International Journal of Biomathematics
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 International Journal of Heat and Mass Transfer
1 Mathematical Biosciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Discrete and Continuous Dynamical Systems
1 Differential Equations and Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Natural Resource Modeling
1 Qualitative Theory of Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics and Computing
1 Nonlinear Analysis. Hybrid Systems
1 Journal of Theoretical Biology
1 Nonautonomous Dynamical Systems
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 17 Fields

62 Classical thermodynamics, heat transfer (80-XX)
59 Biology and other natural sciences (92-XX)
45 Ordinary differential equations (34-XX)
34 Partial differential equations (35-XX)
28 Fluid mechanics (76-XX)
17 Dynamical systems and ergodic theory (37-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Numerical analysis (65-XX)
5 Systems theory; control (93-XX)
4 Difference and functional equations (39-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Mechanics of deformable solids (74-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year