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## Hastings, Stuart P.

Compute Distance To:
 Author ID: hastings.stuart-p Published as: Hastings, S.; Hastings, S. P.; Hastings, Stuart; Hastings, Stuart P.
 Documents Indexed: 83 Publications since 1965, including 1 Book
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#### Co-Authors

 28 single-authored 15 McLeod, John Bryce 14 Troy, William C. 5 Lu, Chunqing 4 Greenberg, James M. 4 Kinderlehrer, David 3 Chen, Xinfu 3 Hassard, Brian D. 3 Kazarinoff, Nicholas D. 2 Ai, Shangbing 2 MacGillivray, A. Dean 2 Peletier, Lambertus Adrianus 2 Poore, Aubrey B. 2 Wan, Yieh-Hei 1 Borisov, Alexander 1 Caginalp, Gunduz 1 Carpio, Ana 1 Chapman, Stephen Jonathan 1 Chipot, Michel 1 Dancer, Edward Norman 1 Dickinson, Mark R. 1 Ermentrout, Bard G. 1 Ermentrout, George Bard 1 Fife, Paul C. 1 Gebhart, Benjamin 1 Greene, Curtis 1 Kwong, Man Kam 1 Lazer, Alan C. 1 Siegel, Sidney 1 Tyson, John J. 1 Webster, Dallas E. 1 Yang, Yisong 1 Zhang, Jianhe
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#### Serials

 9 SIAM Journal on Mathematical Analysis 8 Journal of Differential Equations 7 SIAM Journal on Applied Mathematics 6 Archive for Rational Mechanics and Analysis 5 European Journal of Applied Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 American Mathematical Monthly 3 Journal of Mathematical Biology 3 The Quarterly Journal of Mathematics. Oxford Second Series 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Physica D 2 Differential and Integral Equations 1 IMA Journal of Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Mathematika 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Algebraic and Discrete Methods 1 Numerical Heat Transfer 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Methods and Applications of Analysis 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Bulletin of the American Mathematical Society 1 Graduate Studies in Mathematics
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#### Fields

 48 Ordinary differential equations (34-XX) 22 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 14 Fluid mechanics (76-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 873 times in 704 Documents Cited by Year
A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Zbl 0426.34019
Hastings, S. P.; McLeod, J. B.
1980
Spatial patterns for discrete models of diffusion in excitable media. Zbl 0398.92004
Greenberg, J. M.; Hastings, S. P.
1978
On the existence of homoclinic and periodic orbits for the Fitzhugh- Nagumo equations. Zbl 0322.92008
Hastings, S. P.
1976
A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015
Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong
1994
Existence of periodic solutions for negative feedback cellular control systems. Zbl 0361.34038
Hastings, Stuart; Tyson, John; Webster, Dallas
1977
Pattern formation and periodic structures in systems modeled by reaction- diffusion equations. Zbl 0424.35011
Greenberg, J. M.; Hassard, B. D.; Hastings, S. P.
1978
Some mathematical problems from neurobiology. Zbl 0347.92001
Hastings, S. P.
1975
Single and multiple pulse waves for the FitzHugh-Nagumo equations. Zbl 0503.92009
Hastings, Stuart P.
1982
The existence of periodic solutions to Nagumo’s equation. Zbl 0305.34058
Hastings, Stuart
1974
Reversed flow solutions of the Falkner-Skan equation. Zbl 0243.34026
Hastings, S. P.
1972
On travelling wave solutions of the Hodgkin-Huxley equations. Zbl 0374.35004
Hastings, S. P.
1976
A computer proof that the Lorenz equations have “chaotic” solutions. Zbl 0792.65050
Hassard, B.; Zhang, J.; Hastings, S. P.; Troy, W. C.
1994
A shooting approach to the Lorenz equations. Zbl 0764.58023
Hastings, S. P.; Troy, W. C.
1992
On the periodic solutions of a forced second-order equation. Zbl 0801.34040
Hastings, S. P.; McLeod, J. B.
1991
A shooting approach to layers and chaos in a forced Duffing equation. Zbl 1025.34015
Ai, Shangbing; Hastings, Stuart P.
2002
Classical methods in ordinary differential equations. With applications to boundary value problems. Zbl 1239.34001
Hastings, Stuart P.; McLeod, J. Bryce
2012
Chaotic motion of a pendulum with oscillatory forcing. Zbl 0801.34036
Hastings, S. P.; McLeod, J. B.
1993
Boundary value problems in one differential equation with a discontinuity. Zbl 0142.06303
Hastings, S. P.
1965
Wave solutions for a discrete reaction-diffusion equation. Zbl 0968.35059
Carpio, A.; Chapman, S. J.; Hastings, S.; McLeod, J. B.
2000
The number of solutions to an equation from catalysis. Zbl 0582.34022
Hastings, S. P.; McLeod, J. B.
1985
A proof that the Lorenz equations have a homoclinic orbit. Zbl 0807.34059
Hastings, S. P.; Troy, W. C.
1994
On the uniqueness and global asymptotic stability of periodic solutions for a third order system. Zbl 0386.34039
Hastings, S. P.
1977
A shooting approach to chaos in the Lorenz equations. Zbl 0849.34031
Hastings, S. P.; Troy, W. C.
1996
A combinatorial problem arising in the study of reaction-diffusion equations. Zbl 0499.92003
Greenberg, James; Greene, Curtis; Hastings, Stuart
1980
An existence theorem for some problems from boundary layer theory. Zbl 0212.59403
Hastings, S. P.
1970
Oscillating solutions of the Falkner-Skan for positive $$\beta$$. Zbl 0703.34044
Hastings, S. P.; Troy, W. C.
1988
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
Large amplitude stationary waves in an excitable lateral-inhibitory medium. Zbl 0561.92001
Ermentrout, G. B.; Hastings, S. P.; Troy, W. C.
1984
An existence theorem for a class of nonlinear boundary value problems including that of Falkner and Skan. Zbl 0219.34025
Hastings, S. P.
1971
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
2004
Use of ”simple shooting” to obtain chaos. Zbl 0786.34049
Hastings, S. P.
1993
Asymptotic behaviour of solutions of a similarity equation for laminar flows in channels with porous walls. Zbl 0774.76027
Lu, Chunqing; MacGillivray, A. Dean; Hastings, Stuart P.
1992
An existence theorem for a problem from boundary layer theory. Zbl 0183.36204
Hastings, S. P.
1969
The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity. Zbl 0880.34023
Hastings, S. P.; Kwong, M. K.; Troy, W. C.
1996
Backward existence and uniqueness for retarded functional differential equations. Zbl 0172.12202
Hastings, S. P.
1969
Variation of parameters for nonlinear differential-difference equations. Zbl 0183.37502
Hastings, S. P.
1968
There are asymmetric minimizers for the one-dimensional Ginzburg–Landau model of superconductivity. Zbl 0923.34019
Hastings, Stuart P.; Troy, William C.
1999
A boundary value problem with multiple solutions from the theory of laminar flow. Zbl 0749.34014
Hastings, S. P.; Lu, C.; Macgillivray, A. D.
1992
On some conjectures of Turcotte, Spence, Bau, and Holmes. Zbl 0704.34027
Hastings, S. P.; Troy, W. C.
1989
Oscillating solutions of the Falkner-Skan equation for negative $$\beta$$. Zbl 0621.76033
Hastings, S. P.; Troy, W. C.
1987
Multiple solutions for a problem in buoyancy induced flow. Zbl 0609.76098
Hastings, Stuart P.; Kazarinoff, Nicholas D.
1985
Multiple steady-state solutions for buoyancy-induced transport in porous media saturated with cold pure or saline water. Zbl 0557.76115
Gebhart, B.; Hassard, B.; Hastings, S. P.; Kazarinoff, N.
1983
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2008
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2007
On the global bifurcation diagram for the one-dimensional Ginzburg-Landau model of superconductivity. Zbl 1041.82024
Dancer, E. N.; Hastings, S. P.
2000
Properties of some ordinary differential equations related to free boundary problems. Zbl 0623.34016
Caginalp, Gunduz; Hastings, Stuart
1986
Oscillatory solutions of the Falkner-Skan equation. Zbl 0586.76049
Hastings, S. P.; Troy, W.
1985
Progressive waves in materials exhibiting long range memory. Zbl 0335.45007
Greenberg, J. M.; Hastings, S.
1976
On a third order differential equation from biology. Zbl 0256.34038
Hastings, S. P.
1972
On the asymptotic behavior of solutions of the differential equation $$y^{(4)} = p(t)y$$. Zbl 0157.14901
Hastings, S. P.; Lazer, A. C.
1968
Pulse waves for a semi-discrete Morris-Lecar type model. Zbl 0972.92007
Chen, Xinfu; Hastings, Stuart P.
1999
Persistent spatial patterns for semi-discrete models of excitable media. Zbl 0449.92003
Hastings, Stuart
1981
Multiple traveling waves in a combustion model. Zbl 0729.35060
Hastings, S. P.
1988
Periodic plane waves for the Oregonator. Zbl 0346.35010
Hastings, S. P.
1976
O n some solutions of the Falkner-Skan equation. Zbl 0249.34015
Hastings, S. P.; Siegel, S.
1972
On the uniqueness and asymptotic behavior of a similarity solution for a compressible boundary layer. Zbl 0224.34017
Hastings, S. P.
1971
On the asymptotic growth of solutions to a nonlinear equation. Zbl 0204.10201
Hastings, S. P.
1966
A congruence problem for polyhedra. Zbl 1207.52011
Borisov, A.; Dickinson, M.; Hastings, S.
2010
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
2009
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
2005
Boundary value problems in the Fanno model for turbulent compressible flow. Zbl 1007.76029
Hastings, S. P.; McLeod, J. B.; Troy, W. C.
2002
Another look at recent results concerning bifurcation in one-dimensional models of superconductivity. Zbl 0960.34029
Hastings, S. P.
2000
Static spherically symmetric solutions of a Yang-Mills field coupled to a dilaton. Zbl 0840.34016
Hastings, S. P.; McLeod, J. B.; Troy, W. C.
1995
On a self-similar solution for the decay of turbulent bursts. Zbl 0769.76025
Hastings, S. P.; Peletier, L. A.
1992
Liñán’s problem from combustion theory. II. Zbl 0564.34020
Hastings, S. P.; Poore, A. B.
1985
A nonlinear problem arising from combustion theory: Liñán’s problem. Zbl 0531.34013
Hastings, S. P.; Poore, A. B.
1983
Existence for a Falkner-Skan type boundary value problem. Zbl 0215.14502
Hastings, S. P.
1970
On the existence of a solution of a system $$\dot x = f(t,x)$$ which remains in a given set. Zbl 0168.06303
Hastings, S. P.
1967
Bounds on the growth of solutions of a nonlinear system. Zbl 0154.34303
Hastings, S. P.
1966
Classical methods in ordinary differential equations. With applications to boundary value problems. Zbl 1239.34001
Hastings, Stuart P.; McLeod, J. Bryce
2012
A congruence problem for polyhedra. Zbl 1207.52011
Borisov, A.; Dickinson, M.; Hastings, S.
2010
Steady-state analysis of a continuum model for super-infection. Zbl 1231.92048
Ermentrout, Bard; Hastings, Stuart
2009
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2008
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2007
Layers and spikes in nonhomogeneous bistable reaction-diffusion equations. Zbl 1087.35007
Ai, Shangbing; Chen, Xinfu; Hastings, Stuart P.
2006
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
2005
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
2004
A shooting approach to layers and chaos in a forced Duffing equation. Zbl 1025.34015
Ai, Shangbing; Hastings, Stuart P.
2002
Boundary value problems in the Fanno model for turbulent compressible flow. Zbl 1007.76029
Hastings, S. P.; McLeod, J. B.; Troy, W. C.
2002
Wave solutions for a discrete reaction-diffusion equation. Zbl 0968.35059
Carpio, A.; Chapman, S. J.; Hastings, S.; McLeod, J. B.
2000
On the global bifurcation diagram for the one-dimensional Ginzburg-Landau model of superconductivity. Zbl 1041.82024
Dancer, E. N.; Hastings, S. P.
2000
Another look at recent results concerning bifurcation in one-dimensional models of superconductivity. Zbl 0960.34029
Hastings, S. P.
2000
There are asymmetric minimizers for the one-dimensional Ginzburg–Landau model of superconductivity. Zbl 0923.34019
Hastings, Stuart P.; Troy, William C.
1999
Pulse waves for a semi-discrete Morris-Lecar type model. Zbl 0972.92007
Chen, Xinfu; Hastings, Stuart P.
1999
A shooting approach to chaos in the Lorenz equations. Zbl 0849.34031
Hastings, S. P.; Troy, W. C.
1996
The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity. Zbl 0880.34023
Hastings, S. P.; Kwong, M. K.; Troy, W. C.
1996
Static spherically symmetric solutions of a Yang-Mills field coupled to a dilaton. Zbl 0840.34016
Hastings, S. P.; McLeod, J. B.; Troy, W. C.
1995
A nonlinear elliptic equation arising from gauge field theory and cosmology. Zbl 0813.35015
Chen, Xinfu; Hastings, Stuart; McLeod, J. Bryce; Yang, Yisong
1994
A computer proof that the Lorenz equations have “chaotic” solutions. Zbl 0792.65050
Hassard, B.; Zhang, J.; Hastings, S. P.; Troy, W. C.
1994
A proof that the Lorenz equations have a homoclinic orbit. Zbl 0807.34059
Hastings, S. P.; Troy, W. C.
1994
Chaotic motion of a pendulum with oscillatory forcing. Zbl 0801.34036
Hastings, S. P.; McLeod, J. B.
1993
Use of ”simple shooting” to obtain chaos. Zbl 0786.34049
Hastings, S. P.
1993
A shooting approach to the Lorenz equations. Zbl 0764.58023
Hastings, S. P.; Troy, W. C.
1992
Asymptotic behaviour of solutions of a similarity equation for laminar flows in channels with porous walls. Zbl 0774.76027
Lu, Chunqing; MacGillivray, A. Dean; Hastings, Stuart P.
1992
A boundary value problem with multiple solutions from the theory of laminar flow. Zbl 0749.34014
Hastings, S. P.; Lu, C.; Macgillivray, A. D.
1992
On a self-similar solution for the decay of turbulent bursts. Zbl 0769.76025
Hastings, S. P.; Peletier, L. A.
1992
On the periodic solutions of a forced second-order equation. Zbl 0801.34040
Hastings, S. P.; McLeod, J. B.
1991
On some conjectures of Turcotte, Spence, Bau, and Holmes. Zbl 0704.34027
Hastings, S. P.; Troy, W. C.
1989
Oscillating solutions of the Falkner-Skan for positive $$\beta$$. Zbl 0703.34044
Hastings, S. P.; Troy, W. C.
1988
Multiple traveling waves in a combustion model. Zbl 0729.35060
Hastings, S. P.
1988
Oscillating solutions of the Falkner-Skan equation for negative $$\beta$$. Zbl 0621.76033
Hastings, S. P.; Troy, W. C.
1987
Properties of some ordinary differential equations related to free boundary problems. Zbl 0623.34016
Caginalp, Gunduz; Hastings, Stuart
1986
The number of solutions to an equation from catalysis. Zbl 0582.34022
Hastings, S. P.; McLeod, J. B.
1985
Multiple solutions for a problem in buoyancy induced flow. Zbl 0609.76098
Hastings, Stuart P.; Kazarinoff, Nicholas D.
1985
Oscillatory solutions of the Falkner-Skan equation. Zbl 0586.76049
Hastings, S. P.; Troy, W.
1985
Liñán’s problem from combustion theory. II. Zbl 0564.34020
Hastings, S. P.; Poore, A. B.
1985
Large amplitude stationary waves in an excitable lateral-inhibitory medium. Zbl 0561.92001
Ermentrout, G. B.; Hastings, S. P.; Troy, W. C.
1984
Multiple steady-state solutions for buoyancy-induced transport in porous media saturated with cold pure or saline water. Zbl 0557.76115
Gebhart, B.; Hassard, B.; Hastings, S. P.; Kazarinoff, N.
1983
A nonlinear problem arising from combustion theory: Liñán’s problem. Zbl 0531.34013
Hastings, S. P.; Poore, A. B.
1983
Single and multiple pulse waves for the FitzHugh-Nagumo equations. Zbl 0503.92009
Hastings, Stuart P.
1982
Persistent spatial patterns for semi-discrete models of excitable media. Zbl 0449.92003
Hastings, Stuart
1981
A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Zbl 0426.34019
Hastings, S. P.; McLeod, J. B.
1980
A combinatorial problem arising in the study of reaction-diffusion equations. Zbl 0499.92003
Greenberg, James; Greene, Curtis; Hastings, Stuart
1980
Spatial patterns for discrete models of diffusion in excitable media. Zbl 0398.92004
Greenberg, J. M.; Hastings, S. P.
1978
Pattern formation and periodic structures in systems modeled by reaction- diffusion equations. Zbl 0424.35011
Greenberg, J. M.; Hassard, B. D.; Hastings, S. P.
1978
Existence of periodic solutions for negative feedback cellular control systems. Zbl 0361.34038
Hastings, Stuart; Tyson, John; Webster, Dallas
1977
On the uniqueness and global asymptotic stability of periodic solutions for a third order system. Zbl 0386.34039
Hastings, S. P.
1977
On the existence of homoclinic and periodic orbits for the Fitzhugh- Nagumo equations. Zbl 0322.92008
Hastings, S. P.
1976
On travelling wave solutions of the Hodgkin-Huxley equations. Zbl 0374.35004
Hastings, S. P.
1976
Progressive waves in materials exhibiting long range memory. Zbl 0335.45007
Greenberg, J. M.; Hastings, S.
1976
Periodic plane waves for the Oregonator. Zbl 0346.35010
Hastings, S. P.
1976
Some mathematical problems from neurobiology. Zbl 0347.92001
Hastings, S. P.
1975
The existence of periodic solutions to Nagumo’s equation. Zbl 0305.34058
Hastings, Stuart
1974
Reversed flow solutions of the Falkner-Skan equation. Zbl 0243.34026
Hastings, S. P.
1972
On a third order differential equation from biology. Zbl 0256.34038
Hastings, S. P.
1972
O n some solutions of the Falkner-Skan equation. Zbl 0249.34015
Hastings, S. P.; Siegel, S.
1972
An existence theorem for a class of nonlinear boundary value problems including that of Falkner and Skan. Zbl 0219.34025
Hastings, S. P.
1971
On the uniqueness and asymptotic behavior of a similarity solution for a compressible boundary layer. Zbl 0224.34017
Hastings, S. P.
1971
An existence theorem for some problems from boundary layer theory. Zbl 0212.59403
Hastings, S. P.
1970
Existence for a Falkner-Skan type boundary value problem. Zbl 0215.14502
Hastings, S. P.
1970
An existence theorem for a problem from boundary layer theory. Zbl 0183.36204
Hastings, S. P.
1969
Backward existence and uniqueness for retarded functional differential equations. Zbl 0172.12202
Hastings, S. P.
1969
Variation of parameters for nonlinear differential-difference equations. Zbl 0183.37502
Hastings, S. P.
1968
On the asymptotic behavior of solutions of the differential equation $$y^{(4)} = p(t)y$$. Zbl 0157.14901
Hastings, S. P.; Lazer, A. C.
1968
On the existence of a solution of a system $$\dot x = f(t,x)$$ which remains in a given set. Zbl 0168.06303
Hastings, S. P.
1967
On the asymptotic growth of solutions to a nonlinear equation. Zbl 0204.10201
Hastings, S. P.
1966
Bounds on the growth of solutions of a nonlinear system. Zbl 0154.34303
Hastings, S. P.
1966
Boundary value problems in one differential equation with a discontinuity. Zbl 0142.06303
Hastings, S. P.
1965
all top 5

#### Cited by 922 Authors

 20 Hastings, Stuart P. 12 Yang, Yisong 11 Clarkson, Peter A. 10 Choe, Kwangseok 10 Han, Jongmin 10 Troy, William C. 8 Lin, Chang-Shou 7 Its, Alexander Rudolfovich 7 Lu, Chunqing 7 McLeod, John Bryce 6 Baik, Jinho 6 Sandstede, Björn 5 Adamatzky, Andrew I. 5 Ai, Shangbing 5 Bassom, Andrew P. 5 Carter, Paul M. 5 Chen, Zhiyou 5 Chern, Jann-Long 5 Du, Yihong 5 Han, Xiaosen 5 Leach, Jannie A. 5 Lee, Youngae 5 Liechty, Karl 5 Rogers, Colin 5 Sohn, Juhee 5 Sourdis, Christos 5 Tanriverdi, Tanfer 4 Billings, Stephen A. 4 Bothner, Thomas 4 Claeys, Tom 4 Deng, Bo 4 Grava, Tamara 4 Hupkes, Hermen Jan 4 Kaper, Tasso J. 4 Novokshenov, Viktor Yur’evich 4 Olver, Sheehan Shakiban 4 Parter, Seymour V. 4 Scheel, Arnd 4 Sleeman, Brian D. 4 Souganidis, Panagiotis E. 4 Tyson, John J. 4 Wang, Shin-Hwa 4 Willson, Stephen Jeffrey 4 Zanolin, Fabio 4 Zgliczyński, Piotr 4 Zhang, Lun 3 Ablowitz, Mark Jay 3 Amster, Pablo 3 Bell, Jonathan 3 Bolley, Catherine 3 Caginalp, Gunduz 3 Chen, Chaonien 3 Chen, Shouxin 3 Clerc, Marcel G. 3 Coffman, Charles V. 3 Dai, Dan 3 Doelman, Arjen 3 Durrett, Richard Timothy 3 Feroe, John A. 3 Gerhardt, Martin 3 Gouzé, Jean-Luc 3 Gravner, Janko 3 Griffeath, David 3 Hassard, Brian D. 3 Helffer, Bernard 3 Ikeda, Hideo 3 Kim, Namkwon 3 Klein, Christian 3 Korman, Philip L. 3 Kowalczyk, Michał 3 Kruskal, Martin David 3 Leonov, Gennadiĭ Alekseevich 3 Llibre, Jaume 3 Martínez, Salomé 3 Mimura, Masayasu 3 Mrozek, Marian 3 Nakashima, Kimie 3 Perthame, Benoît 3 Rumanov, Igor 3 Sachdev, P. L. 3 Schuster, Heike 3 Shi, Junping 3 Smyrnelis, Panayotis 3 Srzednicki, Roman 3 Tarantello, Gabriella 3 Veldman, Arthur Eduard Paul 3 Wang, Cheng-An 3 Wang, Dong 3 Wong, James S. W. 3 Yanagida, Eiji 3 Zhao, Yifan 3 Zheng, Liancun 2 Aftalion, Amandine 2 an der Heiden, Uwe 2 Arioli, Gianni 2 Baptista, Murilo S. 2 Bradshaw-Hajek, Bronwyn H. 2 Brighi, Bernard 2 Buckingham, Robert J. 2 Burkin, I. M. ...and 822 more Authors
all top 5

#### Cited in 189 Serials

 61 Journal of Differential Equations 34 Physica D 29 Journal of Mathematical Analysis and Applications 25 Communications in Mathematical Physics 25 Journal of Mathematical Biology 21 Archive for Rational Mechanics and Analysis 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Journal of Mathematical Physics 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Dynamics and Differential Equations 12 Applied Mathematics and Computation 12 Studies in Applied Mathematics 12 Transactions of the American Mathematical Society 10 Mathematical Biosciences 9 Computers & Mathematics with Applications 9 Chaos 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Mathematical and Computer Modelling 8 SIAM Journal on Applied Dynamical Systems 8 Nonlinear Analysis. Theory, Methods & Applications 7 Mathematical Methods in the Applied Sciences 7 Journal of Functional Analysis 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Nonlinear Dynamics 6 Rocky Mountain Journal of Mathematics 6 Constructive Approximation 6 Applied Mathematics Letters 6 SIAM Journal on Mathematical Analysis 6 Journal of Nonlinear Science 6 Calculus of Variations and Partial Differential Equations 6 Discrete and Continuous Dynamical Systems 6 Nonlinear Analysis. Real World Applications 5 Applicable Analysis 5 Communications on Pure and Applied Mathematics 5 Journal of Statistical Physics 5 Nonlinearity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Advances in Mathematics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Biological Cybernetics 4 Journal of Engineering Mathematics 4 Mathematika 4 Applied Mathematical Modelling 4 Abstract and Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 3 Letters in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Probability 3 Automatica 3 Duke Mathematical Journal 3 Theoretical Computer Science 3 Japan Journal of Applied Mathematics 3 Journal of Theoretical Probability 3 Japan Journal of Industrial and Applied Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Foundations of Computational Mathematics 2 Discrete Applied Mathematics 2 International Journal of Systems Science 2 Physica A 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Monatshefte für Mathematik 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 Physics of Fluids 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Journal of Mathematical Chemistry 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical and Computer Modelling of Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of High Energy Physics 2 Nonlinear Analysis. Modelling and Control 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Boundary Value Problems 2 Bulletin of the American Mathematical Society 2 International Journal of Biomathematics 2 Random Matrices: Theory and Applications 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Computers and Fluids 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Psychometrika ...and 89 more Serials
all top 5

#### Cited in 45 Fields

 266 Ordinary differential equations (34-XX) 246 Partial differential equations (35-XX) 144 Biology and other natural sciences (92-XX) 118 Dynamical systems and ergodic theory (37-XX) 76 Fluid mechanics (76-XX) 54 Numerical analysis (65-XX) 50 Probability theory and stochastic processes (60-XX) 44 Quantum theory (81-XX) 37 Statistical mechanics, structure of matter (82-XX) 33 Computer science (68-XX) 27 Special functions (33-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Systems theory; control (93-XX) 24 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Mechanics of particles and systems (70-XX) 17 Classical thermodynamics, heat transfer (80-XX) 14 Integral equations (45-XX) 12 Relativity and gravitational theory (83-XX) 10 Mechanics of deformable solids (74-XX) 9 Functions of a complex variable (30-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Combinatorics (05-XX) 7 Statistics (62-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 6 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 4 General topology (54-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX)