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Champneys, Alan R.

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Author ID: champneys.alan-r Recent zbMATH articles by "Champneys, Alan R."
Published as: Champneys, A.; Champneys, A. R.; Champneys, Alan; Champneys, Alan R.
Documents Indexed: 121 Publications since 1991, including 4 Books
all top 5

Co-Authors

8 single-authored
12 Thompson, John Michael T.
11 Hunt, Giles W.
9 Lord, Gabriel James
8 di Bernardo, Mario
6 Budd, Christopher John
6 Oldeman, Bart E.
6 van der Heijden, Gert H. M.
5 Fraser, Wynstone Barrie
5 Homer, Martin E.
5 Krauskopf, Bernd
5 Malomed, Boris A.
5 Nordmark, Arne B.
5 Sandstede, Björn
4 Avitabile, Daniele
4 Kuznetsov, Yuri Alexandrovich
4 Melvin, Thomas R. O.
4 Piiroinen, Petri T.
3 Friswell, Michael Ian
3 Hös, Csaba J.
3 Kirk, Vivien
3 Knobloch, Edgar
3 Kowalczyk, Piotr
3 Lloyd, David J. B.
3 McKenna, Patrick Joseph
3 Toland, John Francis
3 Wagenknecht, Thomas
3 Yang, Jianke
2 Acheson, David J.
2 Bazsó, Csaba
2 Breña-Medina, Víctor F.
2 Buryak, Alexander V.
2 Dankowicz, Harry J.
2 Eyres, R. D.
2 Härterich, Jörg M.
2 Kaup, David J.
2 Lieven, Nick A. J.
2 Pelinovsky, Dmitry Efimovich
2 Rothos, Vassilis M.
2 Spence, Alastair
2 Szalai, Róbert
2 Várkonyi, Péter László
2 Verschueren, Nicolas
2 Wagg, David J.
2 Ward, Michael J.
2 Wilson, Richard Eddie
2 Woods, P. D.
1 Aigner, Andreas A.
1 Bai, Fengshan
1 Beyn, Wolf-Jürgen
1 Briant, Linford J. B.
1 Buffoni, Boris
1 Cammarano, Andrea
1 Cooper, N. P.
1 Crowdy, Darren Gregory
1 Cuevas Maraver, Jesús
1 Dawes, Jonathan H. P.
1 Demirel, Güven
1 Desroches, Mathieu
1 Doedel, Eusebius J.
1 Domínguez, Jaime
1 Escalona, José Luis
1 Gaitonde, Ann L.
1 Galán-Vioque, Jorge
1 Galán, Jorge E.
1 Galán, José
1 Govaerts, Willy J. F.
1 Green, K. L.
1 Green, Kevin R.
1 Grierson, C.
1 Gross, Thilo
1 Groves, Mark D.
1 Harris, Simon C.
1 Hill, Thomas L.
1 Hjorth, Poul G.
1 Hogan, John Wesley
1 Hogan, S. John
1 Jeffrey, Mike R.
1 Jones, David Pierce
1 Kennedy, H. J.
1 Kevrekidis, Panayotis G.
1 Kolossovski, K. Y.
1 Kullmann, László
1 Kyrychko, Yulia
1 Linaro, Daniele
1 Lowenberg, Mark H.
1 Lust, Kurt
1 Ma, Yongpei
1 MacCarthy, Bart L.
1 Man, Harry
1 Melcher, John
1 Miles, M. J.
1 Mullin, Tom
1 Muñoz, A. M.
1 Neild, Simon A.
1 Osinga, Hinke Maria
1 Papageorgiou, Demetrius
1 Paton, Julian F. R.
1 Payton, O.
1 Pearce, M. J.
1 Peletier, Mark Adriaan
...and 29 more Co-Authors
all top 5

Serials

17 Physica D
13 SIAM Journal on Applied Dynamical Systems
8 Nonlinearity
8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 IMA Journal of Applied Mathematics
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 SIAM Journal on Applied Mathematics
3 Journal of Nonlinear Science
3 Nonlinear Dynamics
2 International Journal of Solids and Structures
2 Journal of Fluid Mechanics
2 Dynamics and Stability of Systems
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 SIAM Journal on Scientific Computing
2 Chaos
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Mechanical Sciences
1 International Journal of Non-Linear Mechanics
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Journal of Sound and Vibration
1 Physics Letters. A
1 Chaos, Solitons and Fractals
1 Mathematics and Computers in Simulation
1 Ergodic Theory and Dynamical Systems
1 CWI Quarterly
1 Journal of Physics A: Mathematical and General
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 Philosophical Transactions of the Royal Society of London. Series A
1 Advances in Computational Mathematics
1 The ANZIAM Journal
1 Advanced Series in Nonlinear Dynamics
1 Applied Mathematical Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Theoretical Biology
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH

103 Publications have been cited 2,010 times in 1,430 Documents Cited by Year
Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003
di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P.
562
2008
Bifurcations in nonsmooth dynamical systems. Zbl 1168.34006
di Bernardo, Mario; Budd, Chris J.; Champneys, Alan R.; Kowalczyk, Piotr; Nordmark, Arne B.; Tost, Gerard Olivar; Piiroinen, Petri T.
106
2008
Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. Zbl 1067.37063
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
69
2001
Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics. Zbl 1194.37154
Champneys, A. R.
68
1998
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
66
1996
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
61
1994
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047
Buffoni, B.; Champneys, A. R.; Toland, J. F.
57
1996
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation. Zbl 0952.37009
Woods, P. D.; Champneys, A. R.
48
1999
Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter. Zbl 0904.34034
di Bernardo, Mario; Budd, Chris; Champneys, Alan
47
1998
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
46
2000
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
40
2008
A global investigation of solitary-wave solutions to a two-parameter model for water waves. Zbl 0913.76010
Champneys, Alan R.; Groves, Mark D.
36
1997
Corner collision implies border-collision bifurcation. Zbl 0984.34028
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
34
2001
Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035
Champneys, A. R.; Toland, J. F.
34
1993
Numerical continuation, and computation of normal forms. Zbl 1034.37048
Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn
32
2002
Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations. Zbl 0990.37039
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
30
2001
Embedded solitons: Solitary waves in resonance with the linear spectrum. Zbl 0976.35087
Champneys, A. R.; Malomed, B. A.; Yang, J.; Kaup, D. J.
28
2001
Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems. Zbl 1141.37341
Kowalczyk, P.; Di Bernardo, M.; Champneys, A. R.; Hogan, S. J.; Homer, M.; Piiroinen, P. T.; Kuznetsov, Yu. A.; Nordmark, A.
26
2006
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
21
2012
Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem. Zbl 0888.34040
Champneys, A. R.; Lord, G. J.
21
1997
From helix to localized writhing in the torsional post-buckling of elastic rods. Zbl 0946.74025
Thompson, J. M. T.; Champneys, A. R.
21
1996
When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James
17
2007
The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities. Zbl 1051.37023
Champneys, A. R.; Kirk, V.
17
2004
Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. Zbl 0958.74021
Hunt, G. W.; Lord, G. J.; Champneys, A. R.
17
1999
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
17
1995
Chaos and period-adding; experimental and numerical verification of the grazing bifurcation. Zbl 1125.70015
Piiroinen, P. T.; Virgin, L. N.; Champneys, A. R.
16
2004
Do true elevation gravity-capillary solitary waves exist? A numerical investigation. Zbl 1023.76011
Champneys, A. R.; Vanden-Broeck, J.-M.; Lord, G. J.
15
2002
Multiple solitary waves due to second-harmonic generation in quadratic media. Zbl 0923.35169
Yew, A. C.; Champneys, A. R.; McKenna, P. J.
14
1999
Numerical computation of coherent structures. Zbl 1129.65071
Champneys, Alan R.; Sandstede, Björn
13
2007
Spatially complex localisation in twisted elastic rods constrained to a cylinder. Zbl 1006.74521
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
13
2002
Multi-pulse embedded solitons as bound states of quasi-solitons. Zbl 1010.35087
Kolossovski, K.; Champneys, A. R.; Buryak, A. V.; Sammut, R. A.
13
2002
Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems. Zbl 0985.37045
Champneys, A. R.
13
2001
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
13
2000
The non-transverse Shil’nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies. Zbl 0986.37041
Champneys, A. R.; Rodríguez-Luis, A. J.
13
1999
A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices. Zbl 1037.74026
Aigner, A. A.; Champneys, A. R.; Rothos, V. M.
12
2003
Death of period-doublings: Locating the homoclinic-doubling cascade. Zbl 1011.34036
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
12
2000
Computation of localized post buckling in long axially compressed cylindrical shells. Zbl 0894.73040
Lord, G. J.; Champneys, A. R.; Hunt, G. W.
12
1997
Hunting for homoclinic orbits in reversible systems: A shooting technique. Zbl 0824.65080
Champneys, Alan R.; Spence, Alastair
12
1993
Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law. Zbl 1203.70027
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
11
2009
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics. Zbl 1167.35448
Melvin, T. R. O.; Champneys, A. R.; Kevrekidis, P. G.; Cuevas, J.
11
2008
Embedded solitons: A new type of solitary wave. Zbl 0976.35059
Yang, J.; Malomed, B. A.; Kaup, D. J.; Champneys, A. R.
11
2001
Localization and solitary waves in solid mechanics. Zbl 0949.00014
Champneys, A. R. (ed.); Hunt, G. W. (ed.); Thompson, J. M. T. (ed.)
11
1999
Moving embedded solitons. Zbl 0969.35113
Champneys, Alan R.; Malomed, Boris A.
11
1999
Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature. Zbl 0902.73044
Champneys, A. R.; van der Heijden, G. H. M.; Thompson, J. M. T.
11
1997
The Painlevé paradox in contact mechanics. Zbl 1408.70006
Champneys, Alan R.; Várkonyi, Péter L.
10
2016
Friction-induced reverse chatter in rigid-body mechanisms with impacts. Zbl 1385.70030
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
10
2011
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
10
2000
A non-transverse homoclinic orbit to a saddle-node equilibrium. Zbl 0853.58079
Champneys, Alan R.; Härterich, Jörg; Sandstede, Björn
10
1996
The use of normal forms for analysing nonlinear mechanical vibrations. Zbl 1353.70052
Neild, Simon A.; Champneys, Alan R.; Wagg, David J.; Hill, Thomas L.; Cammarano, Andrea
9
2015
Numerical continuation of high Reynolds number external flows. Zbl 1426.76435
Wales, C.; Gaitonde, A. L.; Jones, D. P.; Avitabile, D.; Champneys, A. R.
9
2012
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M.
9
2009
Homoclinic branch switching: a numerical implementation of Lin’s method. Zbl 1057.37073
Oldeman, Bart E.; Champneys, Alan R.; Krauskopf, Bernd
9
2003
When gap solitons become embedded solitons: A generic unfolding. Zbl 1011.37037
Wagenknecht, T.; Champneys, A. R.
9
2003
A multipicity of localized buckling modes for twisted rod equations. Zbl 0872.73015
Champneys, A. R.; Thompson, J. M. T.
9
1996
Subsidiary homoclinic orbits to a saddle-focus for reversible systems. Zbl 0873.34037
Champneys, A. R.
9
1994
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
8
1995
Stripe to spot transition in a plant root hair initiation model. Zbl 06444870
Breña-Medina, V. F.; Avitabile, D.; Champneys, A. R.; Ward, M. J.
6
2015
Mathematical modeling of plant root hair initiation: dynamics of localized patches. Zbl 1302.35030
Breña-Medina, V.; Champneys, A. R.; Grierson, C.; Ward, M. J.
6
2014
Discrete snaking: multiple cavity solitons in saturable media. Zbl 1193.35172
Yulin, A. V.; Champneys, A. R.
6
2010
A model for cell polarization without mass conservation. Zbl 1386.35013
Verschueren, Nicolas; Champneys, Alan
5
2017
Stability and bifurcation analysis of a spinning space tether. Zbl 1149.70316
Valverde, J.; Escalona, J. L.; Dominguez, J.; Champneys, A. R.
5
2006
Boundary effects and the onset of Taylor vortices. Zbl 1098.76532
Rucklidge, A. M.; Champneys, A. R.
5
2004
The ‘Indian wire trick’ via parametric excitation: a comparison between theory and experiment. Zbl 1047.70044
Mullin, Tom; Champneys, Alan; Fraser, W. Barrie; Galan, Jorge; Acheson, David
5
2003
The spatial complexity of localized buckling in rods with noncircular cross-section. Zbl 0928.74033
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
5
1999
On solitary waves of a piecewise linear suspended beam model. Zbl 0903.73031
Champneys, A. R.; McKenna, P. J.
5
1997
Localization and solitary waves in solid mechanics. Zbl 0888.35094
Champneys, A. R.; Hunt, G. W.; Thompson, J. M. T.
5
1997
Discrete traveling solitons in the Salerno model. Zbl 1171.34041
Melvin, Thomas R. O.; Champneys, Alan R.; Pelinovsky, Dmitry E.
4
2009
Analysis of the transient response of an automatic dynamic balancer for eccentric rotors. Zbl 1192.70033
Green, K.; Champneys, A. R.; Friswell, M. I.
4
2006
The parametrically excited upside-down rod: an elastic jointed pendulum model. Zbl 1236.74147
Galán, J.; Fraser, W. B.; Acheson, D. J.; Champneys, A. R.
4
2005
Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system. Zbl 1072.76065
Hős, Csaba; Champneys, Alan; Kullmann, László
4
2003
A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schrödinger systems. Zbl 1021.35101
Champneys, Alan R.; Yang, Jianke
4
2002
Homoclinic orbits in reversible systems. II: Multi-bumps and saddle-centres. Zbl 0998.37011
Champneys, A. R.
4
1999
Computation of homoclinic orbits in partial differential equations: An application to cylindrical shell buckling. Zbl 0954.74021
Lord, G. J.; Champneys, A. R.; Hunt, G. W.
4
1999
On the stability of solitary wave solutions of the fifth-order KdV equation. Zbl 1044.35516
Buryak, A. V.; Champneys, A. R.
4
1997
Feedback-induced instability in tapping mode atomic force microscopy: theory and experiment. Zbl 1228.74058
Payton, O.; Champneys, A. R.; Homer, M. E.; Picco, L.; Miles, M. J.
3
2011
One-parameter localized traveling waves in nonlinear Schrödinger lattices. Zbl 1142.34041
Pelinovsky, Dmitry E.; Melvin, Thomas R. O.; Champneys, Alan R.
3
2007
Accumulation of embedded solitons in systems with quadratic nonlinearity. Zbl 1144.37382
Malomed, B. A.; Wagenknecht, T.; Champneys, A. R.; Pearce, M. J.
3
2005
Modelling and dynamic response of a damper with relief valve. Zbl 1122.70018
Eyres, R. D.; Champneys, A. R.; Lieven, N. A. J.
3
2005
Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons. Zbl 1096.78006
Lloyd, D. J. B.; Champneys, A. R.
3
2005
Discrete embedded solitons. Zbl 1125.37051
Yagasaki, Kazuyuki; Champneys, Alan R.; Malomed, Boris A.
3
2005
Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation. Zbl 1070.35088
Lloyd, D. J. B.; Champneys, A. R.; Wilson, R. E.
3
2005
The ‘Indian rope trick’ for a parametrically excited flexible rod: Linearized analysis. Zbl 0974.74029
Champneys, Alan R.; Fraser, W. Barrie
3
2000
Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics. Zbl 1371.70058
Shaw, A. D.; Champneys, A. R.; Friswell, M. I.
2
2016
The impacting cantilever: modal non-convergence and the importance of stiffness matching. Zbl 1325.74113
Melcher, John; Champneys, Alan R.; Wagg, David J.
2
2013
Nonlinear models of development, amplification and compression in the mammalian cochlea. Zbl 1239.92025
Szalai, R.; Tsaneva-Atanasova, K.; Homer, M. E.; Champneys, A. R.; Kennedy, H. J.; Cooper, N. P.
2
2011
Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities. Zbl 1223.37033
Yulin, Alexey; Champneys, Alan
2
2011
Grazing bifurcations and chaos in the dynamics of a hydraulic damper with relief valves. Zbl 1090.37058
Eyres, R. D.; Piiroinen, P. T.; Champneys, A. R.; Lieven, N. A. J.
2
2005
Nonlinear dynamics and chaos: Where do we go from here? Zbl 0996.00035
Hogan, John (ed.); Champneys, Alan (ed.); Krauskopf, Bernd (ed.); di Bernardo, Mario (ed.); Wilson, Eddie (ed.); Osinga, Hinke (ed.); Homer, Martin (ed.)
2
2003
The ‘Indian rope trick’ for a parametrically excited flexible rod: nonlinear and subharmonic analysis. Zbl 1056.74041
Fraser, W. Barrie; Champneys, Alan R.
2
2002
Introduction [to: Localization and solitary waves in solid mechanics]. Zbl 1166.35366
Champneys, A. R. (ed.); Hunt, G. W. (ed.); Thompson, J. M. T. (ed.)
2
1999
Spatially complex localisation in twisted elastic rods constrained to lie in the plane. Zbl 0962.74033
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
2
1999
Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two. Zbl 0867.34036
Bai, Fengshan; Champneys, Alan R.
2
1996
Homoclinic orbits in the dynamics of articulated pipes conveying fluid. Zbl 0735.76005
Champneys, Alan R.
2
1991
Revealing instabilities in a generalized triadic supply network: a bifurcation analysis. Zbl 1396.90006
Ritterskamp, Daniel; Demirel, Güven; MacCarthy, Bart L.; Rudolf, Lars; Champneys, Alan R.; Gross, Thilo
1
2018
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. Zbl 1393.70032
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R.
1
2018
A phase-plane analysis of localized frictional waves. Zbl 1404.74070
Putelat, T.; Dawes, J. H. P.; Champneys, A. R.
1
2017
Bifurcation analysis of a simplified model of a pressure relief valve attached to a pipe. Zbl 1348.37082
Bazsó, Csaba; Champneys, Alan R.; Hös, Csaba J.
1
2014
Investigation of a multi-ball, automatic dynamic balancing mechanism for eccentric rotors. Zbl 1153.74325
Green, K.; Champneys, A. R.; Friswell, M. I.; Muñoz, A. M.
1
2008
Resonance tongue interaction in the parametrically excited column. Zbl 1126.74018
Champneys, A. R.; Fraser, W. B.
1
2004
The torsional buckling and writhing of a simply supported rod hanging under gravity. Zbl 1004.74034
Stump, D. M.; Champneys, A. R.; van der Heijden, G. H. M.
1
2001
Revealing instabilities in a generalized triadic supply network: a bifurcation analysis. Zbl 1396.90006
Ritterskamp, Daniel; Demirel, Güven; MacCarthy, Bart L.; Rudolf, Lars; Champneys, Alan R.; Gross, Thilo
1
2018
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. Zbl 1393.70032
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R.
1
2018
A model for cell polarization without mass conservation. Zbl 1386.35013
Verschueren, Nicolas; Champneys, Alan
5
2017
A phase-plane analysis of localized frictional waves. Zbl 1404.74070
Putelat, T.; Dawes, J. H. P.; Champneys, A. R.
1
2017
The Painlevé paradox in contact mechanics. Zbl 1408.70006
Champneys, Alan R.; Várkonyi, Péter L.
10
2016
Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics. Zbl 1371.70058
Shaw, A. D.; Champneys, A. R.; Friswell, M. I.
2
2016
The use of normal forms for analysing nonlinear mechanical vibrations. Zbl 1353.70052
Neild, Simon A.; Champneys, Alan R.; Wagg, David J.; Hill, Thomas L.; Cammarano, Andrea
9
2015
Stripe to spot transition in a plant root hair initiation model. Zbl 06444870
Breña-Medina, V. F.; Avitabile, D.; Champneys, A. R.; Ward, M. J.
6
2015
Mathematical modeling of plant root hair initiation: dynamics of localized patches. Zbl 1302.35030
Breña-Medina, V.; Champneys, A. R.; Grierson, C.; Ward, M. J.
6
2014
Bifurcation analysis of a simplified model of a pressure relief valve attached to a pipe. Zbl 1348.37082
Bazsó, Csaba; Champneys, Alan R.; Hös, Csaba J.
1
2014
The impacting cantilever: modal non-convergence and the importance of stiffness matching. Zbl 1325.74113
Melcher, John; Champneys, Alan R.; Wagg, David J.
2
2013
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
21
2012
Numerical continuation of high Reynolds number external flows. Zbl 1426.76435
Wales, C.; Gaitonde, A. L.; Jones, D. P.; Avitabile, D.; Champneys, A. R.
9
2012
Friction-induced reverse chatter in rigid-body mechanisms with impacts. Zbl 1385.70030
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
10
2011
Feedback-induced instability in tapping mode atomic force microscopy: theory and experiment. Zbl 1228.74058
Payton, O.; Champneys, A. R.; Homer, M. E.; Picco, L.; Miles, M. J.
3
2011
Nonlinear models of development, amplification and compression in the mammalian cochlea. Zbl 1239.92025
Szalai, R.; Tsaneva-Atanasova, K.; Homer, M. E.; Champneys, A. R.; Kennedy, H. J.; Cooper, N. P.
2
2011
Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities. Zbl 1223.37033
Yulin, Alexey; Champneys, Alan
2
2011
Discrete snaking: multiple cavity solitons in saturable media. Zbl 1193.35172
Yulin, A. V.; Champneys, A. R.
6
2010
Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law. Zbl 1203.70027
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
11
2009
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M.
9
2009
Discrete traveling solitons in the Salerno model. Zbl 1171.34041
Melvin, Thomas R. O.; Champneys, Alan R.; Pelinovsky, Dmitry E.
4
2009
Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003
di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P.
562
2008
Bifurcations in nonsmooth dynamical systems. Zbl 1168.34006
di Bernardo, Mario; Budd, Chris J.; Champneys, Alan R.; Kowalczyk, Piotr; Nordmark, Arne B.; Tost, Gerard Olivar; Piiroinen, Petri T.
106
2008
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
40
2008
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics. Zbl 1167.35448
Melvin, T. R. O.; Champneys, A. R.; Kevrekidis, P. G.; Cuevas, J.
11
2008
Investigation of a multi-ball, automatic dynamic balancing mechanism for eccentric rotors. Zbl 1153.74325
Green, K.; Champneys, A. R.; Friswell, M. I.; Muñoz, A. M.
1
2008
When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James
17
2007
Numerical computation of coherent structures. Zbl 1129.65071
Champneys, Alan R.; Sandstede, Björn
13
2007
One-parameter localized traveling waves in nonlinear Schrödinger lattices. Zbl 1142.34041
Pelinovsky, Dmitry E.; Melvin, Thomas R. O.; Champneys, Alan R.
3
2007
Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems. Zbl 1141.37341
Kowalczyk, P.; Di Bernardo, M.; Champneys, A. R.; Hogan, S. J.; Homer, M.; Piiroinen, P. T.; Kuznetsov, Yu. A.; Nordmark, A.
26
2006
Stability and bifurcation analysis of a spinning space tether. Zbl 1149.70316
Valverde, J.; Escalona, J. L.; Dominguez, J.; Champneys, A. R.
5
2006
Analysis of the transient response of an automatic dynamic balancer for eccentric rotors. Zbl 1192.70033
Green, K.; Champneys, A. R.; Friswell, M. I.
4
2006
The parametrically excited upside-down rod: an elastic jointed pendulum model. Zbl 1236.74147
Galán, J.; Fraser, W. B.; Acheson, D. J.; Champneys, A. R.
4
2005
Accumulation of embedded solitons in systems with quadratic nonlinearity. Zbl 1144.37382
Malomed, B. A.; Wagenknecht, T.; Champneys, A. R.; Pearce, M. J.
3
2005
Modelling and dynamic response of a damper with relief valve. Zbl 1122.70018
Eyres, R. D.; Champneys, A. R.; Lieven, N. A. J.
3
2005
Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons. Zbl 1096.78006
Lloyd, D. J. B.; Champneys, A. R.
3
2005
Discrete embedded solitons. Zbl 1125.37051
Yagasaki, Kazuyuki; Champneys, Alan R.; Malomed, Boris A.
3
2005
Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation. Zbl 1070.35088
Lloyd, D. J. B.; Champneys, A. R.; Wilson, R. E.
3
2005
Grazing bifurcations and chaos in the dynamics of a hydraulic damper with relief valves. Zbl 1090.37058
Eyres, R. D.; Piiroinen, P. T.; Champneys, A. R.; Lieven, N. A. J.
2
2005
The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities. Zbl 1051.37023
Champneys, A. R.; Kirk, V.
17
2004
Chaos and period-adding; experimental and numerical verification of the grazing bifurcation. Zbl 1125.70015
Piiroinen, P. T.; Virgin, L. N.; Champneys, A. R.
16
2004
Boundary effects and the onset of Taylor vortices. Zbl 1098.76532
Rucklidge, A. M.; Champneys, A. R.
5
2004
Resonance tongue interaction in the parametrically excited column. Zbl 1126.74018
Champneys, A. R.; Fraser, W. B.
1
2004
A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices. Zbl 1037.74026
Aigner, A. A.; Champneys, A. R.; Rothos, V. M.
12
2003
Homoclinic branch switching: a numerical implementation of Lin’s method. Zbl 1057.37073
Oldeman, Bart E.; Champneys, Alan R.; Krauskopf, Bernd
9
2003
When gap solitons become embedded solitons: A generic unfolding. Zbl 1011.37037
Wagenknecht, T.; Champneys, A. R.
9
2003
The ‘Indian wire trick’ via parametric excitation: a comparison between theory and experiment. Zbl 1047.70044
Mullin, Tom; Champneys, Alan; Fraser, W. Barrie; Galan, Jorge; Acheson, David
5
2003
Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system. Zbl 1072.76065
Hős, Csaba; Champneys, Alan; Kullmann, László
4
2003
Nonlinear dynamics and chaos: Where do we go from here? Zbl 0996.00035
Hogan, John (ed.); Champneys, Alan (ed.); Krauskopf, Bernd (ed.); di Bernardo, Mario (ed.); Wilson, Eddie (ed.); Osinga, Hinke (ed.); Homer, Martin (ed.)
2
2003
Numerical continuation, and computation of normal forms. Zbl 1034.37048
Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn
32
2002
Do true elevation gravity-capillary solitary waves exist? A numerical investigation. Zbl 1023.76011
Champneys, A. R.; Vanden-Broeck, J.-M.; Lord, G. J.
15
2002
Spatially complex localisation in twisted elastic rods constrained to a cylinder. Zbl 1006.74521
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
13
2002
Multi-pulse embedded solitons as bound states of quasi-solitons. Zbl 1010.35087
Kolossovski, K.; Champneys, A. R.; Buryak, A. V.; Sammut, R. A.
13
2002
A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schrödinger systems. Zbl 1021.35101
Champneys, Alan R.; Yang, Jianke
4
2002
The ‘Indian rope trick’ for a parametrically excited flexible rod: nonlinear and subharmonic analysis. Zbl 1056.74041
Fraser, W. Barrie; Champneys, Alan R.
2
2002
Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. Zbl 1067.37063
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
69
2001
Corner collision implies border-collision bifurcation. Zbl 0984.34028
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
34
2001
Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations. Zbl 0990.37039
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
30
2001
Embedded solitons: Solitary waves in resonance with the linear spectrum. Zbl 0976.35087
Champneys, A. R.; Malomed, B. A.; Yang, J.; Kaup, D. J.
28
2001
Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems. Zbl 0985.37045
Champneys, A. R.
13
2001
Embedded solitons: A new type of solitary wave. Zbl 0976.35059
Yang, J.; Malomed, B. A.; Kaup, D. J.; Champneys, A. R.
11
2001
The torsional buckling and writhing of a simply supported rod hanging under gravity. Zbl 1004.74034
Stump, D. M.; Champneys, A. R.; van der Heijden, G. H. M.
1
2001
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
46
2000
Solitary waves in nonlinear beam equations: Stability, fission and fusion. Zbl 0974.74034
Champneys, A. R.; McKenna, P. J.; Zegeling, P. A.
13
2000
Death of period-doublings: Locating the homoclinic-doubling cascade. Zbl 1011.34036
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R.
12
2000
Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Zbl 1003.37033
Champneys, Alan R.; Härterich, Jörg
10
2000
The ‘Indian rope trick’ for a parametrically excited flexible rod: Linearized analysis. Zbl 0974.74029
Champneys, Alan R.; Fraser, W. Barrie
3
2000
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation. Zbl 0952.37009
Woods, P. D.; Champneys, A. R.
48
1999
Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. Zbl 0958.74021
Hunt, G. W.; Lord, G. J.; Champneys, A. R.
17
1999
Multiple solitary waves due to second-harmonic generation in quadratic media. Zbl 0923.35169
Yew, A. C.; Champneys, A. R.; McKenna, P. J.
14
1999
The non-transverse Shil’nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies. Zbl 0986.37041
Champneys, A. R.; Rodríguez-Luis, A. J.
13
1999
Localization and solitary waves in solid mechanics. Zbl 0949.00014
Champneys, A. R. (ed.); Hunt, G. W. (ed.); Thompson, J. M. T. (ed.)
11
1999
Moving embedded solitons. Zbl 0969.35113
Champneys, Alan R.; Malomed, Boris A.
11
1999
The spatial complexity of localized buckling in rods with noncircular cross-section. Zbl 0928.74033
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
5
1999
Homoclinic orbits in reversible systems. II: Multi-bumps and saddle-centres. Zbl 0998.37011
Champneys, A. R.
4
1999
Computation of homoclinic orbits in partial differential equations: An application to cylindrical shell buckling. Zbl 0954.74021
Lord, G. J.; Champneys, A. R.; Hunt, G. W.
4
1999
Introduction [to: Localization and solitary waves in solid mechanics]. Zbl 1166.35366
Champneys, A. R. (ed.); Hunt, G. W. (ed.); Thompson, J. M. T. (ed.)
2
1999
Spatially complex localisation in twisted elastic rods constrained to lie in the plane. Zbl 0962.74033
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T.
2
1999
The role of homoclinic bifurcations in understanding the buckling of long thin cylindrical shells. Zbl 0982.74029
Lord, G. J.; Champneys, A. R.; Hunt, G. W.
1
1999
Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics. Zbl 1194.37154
Champneys, A. R.
68
1998
Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter. Zbl 0904.34034
di Bernardo, Mario; Budd, Chris; Champneys, Alan
47
1998
A global investigation of solitary-wave solutions to a two-parameter model for water waves. Zbl 0913.76010
Champneys, Alan R.; Groves, Mark D.
36
1997
Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem. Zbl 0888.34040
Champneys, A. R.; Lord, G. J.
21
1997
Computation of localized post buckling in long axially compressed cylindrical shells. Zbl 0894.73040
Lord, G. J.; Champneys, A. R.; Hunt, G. W.
12
1997
Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature. Zbl 0902.73044
Champneys, A. R.; van der Heijden, G. H. M.; Thompson, J. M. T.
11
1997
On solitary waves of a piecewise linear suspended beam model. Zbl 0903.73031
Champneys, A. R.; McKenna, P. J.
5
1997
Localization and solitary waves in solid mechanics. Zbl 0888.35094
Champneys, A. R.; Hunt, G. W.; Thompson, J. M. T.
5
1997
On the stability of solitary wave solutions of the fifth-order KdV equation. Zbl 1044.35516
Buryak, A. V.; Champneys, A. R.
4
1997
Localization and solitary waves in solid mechanics. Zbl 0886.00007
Champneys, A. R. (ed.); Hunt, G. W. (ed.); Thompson, J. M. T. (ed.)
1
1997
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
66
1996
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047
Buffoni, B.; Champneys, A. R.; Toland, J. F.
57
1996
From helix to localized writhing in the torsional post-buckling of elastic rods. Zbl 0946.74025
Thompson, J. M. T.; Champneys, A. R.
21
1996
A non-transverse homoclinic orbit to a saddle-node equilibrium. Zbl 0853.58079
Champneys, Alan R.; Härterich, Jörg; Sandstede, Björn
10
1996
A multipicity of localized buckling modes for twisted rod equations. Zbl 0872.73015
Champneys, A. R.; Thompson, J. M. T.
9
1996
Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two. Zbl 0867.34036
Bai, Fengshan; Champneys, Alan R.
2
1996
Algebra, analysis and probability for a coupled system of reaction- diffusion equations. Zbl 0824.60070
Champneys, Alan; Harris, Simon; Toland, John; Warren, Jonathan; Williams, David
17
1995
A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems. Zbl 1080.65542
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
8
1995
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
61
1994
Subsidiary homoclinic orbits to a saddle-focus for reversible systems. Zbl 0873.34037
Champneys, A. R.
9
1994
Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Zbl 0789.58035
Champneys, A. R.; Toland, J. F.
34
1993
...and 3 more Documents
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Cited by 1,896 Authors

47 Llibre, Jaume
34 Champneys, Alan R.
27 Gardini, Laura
26 Simpson, David John Warwick
21 Teixeira, Marco Antonio
20 Jeffrey, Mike R.
19 Zhu, Deming
18 Sandstede, Björn
17 Avrutin, Viktor
17 Rodríguez-Luis, Alejandro J.
15 di Bernardo, Mario
15 Knobloch, Edgar
15 Páez Chávez, Joseph Nikolai
14 Han, Maoan
14 Ponce, Enrique
13 Chen, Hebai
13 Yang, Xiaosong
12 de Carvalho, Tiago
12 Sushko, Iryna
12 Tang, Sanyi
12 Zhusubaliev, Zhanybaĭ Tursunbaevich
11 Algaba, Antonio
11 Du, Zhengdong
11 Freire Macías, Emilio
11 Liu, Xingbo
11 Piiroinen, Petri T.
10 Hogan, S. John
10 Kooi, Bob W.
10 Krauskopf, Bernd
10 Kuznetsov, Yuri Alexandrovich
10 Novaes, Douglas Duarte
10 Osinga, Hinke Maria
10 Torregrosa, Joan
10 van der Heijden, Gert H. M.
10 Xiao, Yanni
10 Zhang, Xiang
9 Banerjee, Soumitro
9 Buzzi, Claudio Aguinaldo
9 Chen, Xingwu
9 Dankowicz, Harry J.
9 Dieci, Luca
9 Huan, Songmei
9 Kevrekidis, Panayotis G.
9 Kuske, Rachel A.
9 Liang, Feng
9 Schanz, Michael
9 Thompson, John Michael T.
9 Tonon, Durval José
9 Torres Peral, Francisco
9 Wagenknecht, Thomas
8 Boer, Martin P.
8 Huang, Lihong
8 Kowalczyk, Piotr
8 Malomed, Boris A.
8 Mosekilde, Erik
8 Pelinovsky, Dmitry Efimovich
8 van den Berg, Jan Bouwe
8 Wadee, M. Ahmer
8 Wen, Guilin
8 Xu, Yancong
8 Yagasaki, Kazuyuki
8 Yang, Jihua
8 Zhang, Tiansi
7 Aihara, Kazuyuki
7 Euzébio, Rodrigo D.
7 Fernández-Sánchez, Fernando
7 Glendinning, Paul Alexander
7 Knobloch, Jürgen
7 Li, Shimin
7 Luo, Albert C. J.
7 Merino, Manuel
7 Qin, Wenjie
7 Wiercigroch, Marian
7 Xie, Jianhua
7 Xiong, Yanqin
7 Yang, Jianke
6 Angulo, Fabiola
6 Avitabile, Daniele
6 Barrio, Roberto
6 Bassom, Andrew P.
6 Bergeon, Alain
6 Carter, Paul M.
6 Cheng, Sui Sun
6 Coombes, Stephen
6 Fečkan, Michal
6 Govaerts, Willy J. F.
6 Hosham, Hany A.
6 Kühn, Christian
6 Laing, Carlo R.
6 Lessard, Jean-Philippe
6 Nordmark, Arne B.
6 Tang, Guangyao
6 Tang, Yilei
6 Valls Anglés, Cláudia
6 Vanden-Broeck, Jean-Marc
6 Wadee, M. Khurram
6 Yin, Shan
6 Zhang, Weinian
5 Beyn, Wolf-Jürgen
5 Budd, Christopher John
...and 1,796 more Authors
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Cited in 207 Serials

174 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
135 Physica D
79 Nonlinear Dynamics
58 Chaos
52 SIAM Journal on Applied Dynamical Systems
48 Chaos, Solitons and Fractals
48 Communications in Nonlinear Science and Numerical Simulation
43 Journal of Differential Equations
32 Journal of Mathematical Analysis and Applications
24 Applied Mathematics and Computation
24 Mathematics and Computers in Simulation
23 Journal of Dynamics and Differential Equations
23 Nonlinear Analysis. Real World Applications
19 Journal of Computational and Applied Mathematics
16 Journal of Fluid Mechanics
15 Journal of Nonlinear Science
15 Discrete and Continuous Dynamical Systems. Series B
15 Nonlinear Analysis. Hybrid Systems
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Journal of the Mechanics and Physics of Solids
13 Nonlinearity
13 Qualitative Theory of Dynamical Systems
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Mathematical Biosciences
11 Abstract and Applied Analysis
10 Physics Letters. A
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Discrete Dynamics in Nature and Society
9 Dynamical Systems
9 Journal of Theoretical Biology
8 Journal of Mathematical Biology
8 European Journal of Applied Mathematics
8 Applied Mathematical Modelling
8 Discrete and Continuous Dynamical Systems
7 Applicable Analysis
7 Computer Methods in Applied Mechanics and Engineering
7 Journal of Computational Physics
7 Wave Motion
7 Dynamics and Stability of Systems
7 SIAM Journal on Applied Mathematics
7 Physics of Fluids
6 Chinese Annals of Mathematics. Series B
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Bulletin des Sciences Mathématiques
6 Journal of Difference Equations and Applications
6 Mathematical Problems in Engineering
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Regular and Chaotic Dynamics
6 Acta Mathematica Sinica. English Series
6 Advances in Difference Equations
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Acta Mechanica
5 International Journal of Engineering Science
5 Automatica
5 Studies in Applied Mathematics
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5 Journal of Elasticity
5 SIAM Review
5 European Journal of Mechanics. A. Solids
5 Acta Mechanica Sinica
5 The Journal of Mathematical Neuroscience
4 Computers and Fluids
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4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 European Journal of Mechanics. B. Fluids
4 Journal of Computational Dynamics
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Communications in Mathematical Physics
3 Journal of the Franklin Institute
3 Mathematics of Computation
3 Computational Mechanics
3 Journal of Economic Dynamics & Control
3 Mathematical and Computer Modelling
3 Journal of Mathematical Sciences (New York)
3 Multibody System Dynamics
3 Journal of Dynamical and Control Systems
3 Communications in Contemporary Mathematics
3 Journal of Applied Mathematics
3 Journal of Biological Dynamics
3 Discrete and Continuous Dynamical Systems. Series S
2 Archive for Rational Mechanics and Analysis
2 Biological Cybernetics
2 Fluid Dynamics
2 International Journal of Solids and Structures
2 Journal of Mathematical Physics
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2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Probability
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670 Ordinary differential equations (34-XX)
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33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Optics, electromagnetic theory (78-XX)
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