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Christopher, Colin J.

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Author ID: christopher.colin-j Recent zbMATH articles by "Christopher, Colin J."
Published as: Christopher, C.; Christopher, C. J.; Christopher, Colin; Christopher, Colin J.
Homepage: https://www.plymouth.ac.uk/staff/colin-christopher
External Links: ORCID
Documents Indexed: 50 Publications since 1989, including 1 Book
all top 5

Serials

4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Differential Equations
2 Journal of Mathematical Analysis and Applications
2 Bulletin of the London Mathematical Society
2 Applied Mathematics Letters
2 Publicacions Matemàtiques
2 Journal of Physics A: Mathematical and General
2 Journal of Dynamical and Control Systems
1 Archives of Mechanics
1 Journal of Sound and Vibration
1 Nonlinearity
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Annals of Differential Equations
1 IMRN. International Mathematics Research Notices
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Electronic Journal of Differential Equations (EJDE)
1 Nonlinear World
1 NoDEA. Nonlinear Differential Equations and Applications
1 Mathematics and Mechanics of Solids
1 Differential Equations and Dynamical Systems
1 Qualitative Theory of Dynamical Systems
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Fracture
1 Mathematics in Computer Science
1 Journal of Fixed Point Theory and Applications
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 1,088 times in 700 Documents Cited by Year
Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003
Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório
101
2007
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
78
2007
Invariant algebraic curves and conditions for a centre. Zbl 0821.34023
Christopher, C. J.
68
1994
Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005
Christopher, Colin; Llibre, Jaume
66
2000
Isochronous centers in planar polynomial systems. Zbl 0881.34057
Christopher, C. J.; Devlin, J.
64
1997
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\). Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
55
2003
Algorithmic derivation of centre conditions. Zbl 0876.34033
Pearson, J. M.; Lloyd, N. G.; Christopher, C. J.
50
1996
Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Zbl 1074.34522
Christopher, Colin; Lynch, Stephen
46
1999
An algebraic approach to the classification of centers in polynomial Liénard systems. Zbl 0921.34033
Christopher, Colin
46
1999
Liouvillian first integrals of second order polynomial differential equations. Zbl 0939.34002
Christopher, Colin
44
1999
Estimating limit cycle bifurcations from centers. Zbl 1108.34025
Christopher, Colin
41
2005
Polynomial systems: A lower bound for the Hilbert numbers. Zbl 0839.34033
Christopher, C. J.; Lloyd, N. G.
40
1995
Quadratic-like cubic systems. Zbl 0898.34026
Lloyd, N. G.; Christopher, C. J.; Devlin, J.; Pearson, J. M.; Yasmin, N.
39
1997
On the paper of Jin and Wang concerning the conditions for a centre in certain cubic systems. Zbl 0696.34026
Christopher, C. J.; Lloyd, N. G.
33
1990
Small-amplitude limit cycles in polynomial Liénard systems. Zbl 0855.34030
Christopher, Colin J.; Lloyd, Noel G.
26
1996
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
25
2004
On Cherkas’s method for centre conditions. Zbl 0833.34023
Christopher, C. J.; Lloyd, N. G.; Pearson, J. M.
24
1995
Algebraic invariant curves and the integrability of polynomial systems. Zbl 0784.34008
Kooij, Robert E.; Christopher, Colin J.
24
1993
On the classification of Liénard systems with amplitude-independent periods. Zbl 1059.34020
Christopher, Colin; Devlin, James
19
2004
Abel equations: composition conjectures and the model problem. Zbl 1047.34019
Christopher, Colin
19
2000
Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang
18
2002
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\). Zbl 0984.34023
Christopher, C.; Rousseau, C.
18
2001
Limit cycles in highly non-linear differential equations. Zbl 1235.34098
Lynch, S.; Christopher, C. J.
18
1999
On general algebraic mechanisms for producing centers in polynomial differential systems. Zbl 1162.34022
Christopher, Colin; Schlomiuk, Dana
12
2008
Inverse problems for invariant algebraic curves: Explicit computations. Zbl 1170.34012
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
11
2009
Invariant algebraic curves of large degree for quadratic system. Zbl 1076.34030
Christopher, Colin; Llibre, Jaume; Świrszcz, Grzegorz
11
2005
Inverse problems for multiple invariant curves. Zbl 1144.34003
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
10
2007
Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. Zbl 1127.37039
Rousseau, Christiane; Christopher, Colin
9
2007
A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals. Zbl 0999.34029
Christopher, Colin; Llibre, Jaume
9
2002
Polynomial vector fields with prescribed algebraic limit cycles. Zbl 1072.14534
Christopher, Colin
9
2001
The resonant center problem for a \(2:-3\) resonant cubic Lotka-Volterra system. Zbl 1375.34057
Giné, Jaume; Christopher, Colin; Prešern, Mateja; Romanovski, Valery G.; Shcheglova, Natalie L.
8
2012
Quadratic systems having a parabola as an integral curve. Zbl 0677.34034
Christopher, Colin
8
1989
Local integrability and linearizability of three-dimensional Lotka-Volterra systems. Zbl 1311.34090
Aziz, Waleed; Christopher, Colin
6
2012
Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\). Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
6
2004
On the trigonometric moment problem. Zbl 1291.37085
Álvarez, Amelia; Bravo, José Luis; Christopher, Colin
4
2014
Darboux integrating factors: inverse problems. Zbl 1214.34014
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
4
2011
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1134.37021
Christopher, Colin; Rousseau, Christiane
4
2007
The monodromy problem and the tangential center problem. Zbl 1271.34035
Christopher, C.; Mardešić, P.
3
2010
On a straightening of compressible, nonlinearly elastic, annular cylindrical sectors. Zbl 1001.74531
Aron, M.; Christopher, C.; Wang, Y.
3
1998
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1351.37192
Christopher, Colin; Rousseau, Christiane
2
2014
Inverse problems in Darboux’ theory of integrability. Zbl 1286.34002
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
2
2012
Towards a new model of crack tip stress fields. Zbl 1264.74242
Christopher, C. J.; James, M. N.; Patterson, E. A.; Tee, K. F.
2
2007
The classical theory of invariants and object recognition using algebraic curve and surfaces. Zbl 1101.68809
Civi, Hakan; Christopher, Colin; Ercil, Aytul
1
2003
Linearizability of three families of cubic systems. Zbl 1052.34037
Romanovski, Valery G.; Wu, Yu Hai; Christopher, Colin
1
2003
A note on the replicator equations of dynamical game theory. Zbl 0788.92026
Christopher, C.; Devlin, J.
1
1993
On the trigonometric moment problem. Zbl 1291.37085
Álvarez, Amelia; Bravo, José Luis; Christopher, Colin
4
2014
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1351.37192
Christopher, Colin; Rousseau, Christiane
2
2014
The resonant center problem for a \(2:-3\) resonant cubic Lotka-Volterra system. Zbl 1375.34057
Giné, Jaume; Christopher, Colin; Prešern, Mateja; Romanovski, Valery G.; Shcheglova, Natalie L.
8
2012
Local integrability and linearizability of three-dimensional Lotka-Volterra systems. Zbl 1311.34090
Aziz, Waleed; Christopher, Colin
6
2012
Inverse problems in Darboux’ theory of integrability. Zbl 1286.34002
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
2
2012
Darboux integrating factors: inverse problems. Zbl 1214.34014
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
4
2011
The monodromy problem and the tangential center problem. Zbl 1271.34035
Christopher, C.; Mardešić, P.
3
2010
Inverse problems for invariant algebraic curves: Explicit computations. Zbl 1170.34012
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
11
2009
On general algebraic mechanisms for producing centers in polynomial differential systems. Zbl 1162.34022
Christopher, Colin; Schlomiuk, Dana
12
2008
Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003
Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório
101
2007
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
78
2007
Inverse problems for multiple invariant curves. Zbl 1144.34003
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian
10
2007
Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. Zbl 1127.37039
Rousseau, Christiane; Christopher, Colin
9
2007
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1134.37021
Christopher, Colin; Rousseau, Christiane
4
2007
Towards a new model of crack tip stress fields. Zbl 1264.74242
Christopher, C. J.; James, M. N.; Patterson, E. A.; Tee, K. F.
2
2007
Estimating limit cycle bifurcations from centers. Zbl 1108.34025
Christopher, Colin
41
2005
Invariant algebraic curves of large degree for quadratic system. Zbl 1076.34030
Christopher, Colin; Llibre, Jaume; Świrszcz, Grzegorz
11
2005
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
25
2004
On the classification of Liénard systems with amplitude-independent periods. Zbl 1059.34020
Christopher, Colin; Devlin, James
19
2004
Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\). Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
6
2004
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\). Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
55
2003
The classical theory of invariants and object recognition using algebraic curve and surfaces. Zbl 1101.68809
Civi, Hakan; Christopher, Colin; Ercil, Aytul
1
2003
Linearizability of three families of cubic systems. Zbl 1052.34037
Romanovski, Valery G.; Wu, Yu Hai; Christopher, Colin
1
2003
Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang
18
2002
A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals. Zbl 0999.34029
Christopher, Colin; Llibre, Jaume
9
2002
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\). Zbl 0984.34023
Christopher, C.; Rousseau, C.
18
2001
Polynomial vector fields with prescribed algebraic limit cycles. Zbl 1072.14534
Christopher, Colin
9
2001
Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005
Christopher, Colin; Llibre, Jaume
66
2000
Abel equations: composition conjectures and the model problem. Zbl 1047.34019
Christopher, Colin
19
2000
Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces. Zbl 1074.34522
Christopher, Colin; Lynch, Stephen
46
1999
An algebraic approach to the classification of centers in polynomial Liénard systems. Zbl 0921.34033
Christopher, Colin
46
1999
Liouvillian first integrals of second order polynomial differential equations. Zbl 0939.34002
Christopher, Colin
44
1999
Limit cycles in highly non-linear differential equations. Zbl 1235.34098
Lynch, S.; Christopher, C. J.
18
1999
On a straightening of compressible, nonlinearly elastic, annular cylindrical sectors. Zbl 1001.74531
Aron, M.; Christopher, C.; Wang, Y.
3
1998
Isochronous centers in planar polynomial systems. Zbl 0881.34057
Christopher, C. J.; Devlin, J.
64
1997
Quadratic-like cubic systems. Zbl 0898.34026
Lloyd, N. G.; Christopher, C. J.; Devlin, J.; Pearson, J. M.; Yasmin, N.
39
1997
Algorithmic derivation of centre conditions. Zbl 0876.34033
Pearson, J. M.; Lloyd, N. G.; Christopher, C. J.
50
1996
Small-amplitude limit cycles in polynomial Liénard systems. Zbl 0855.34030
Christopher, Colin J.; Lloyd, Noel G.
26
1996
Polynomial systems: A lower bound for the Hilbert numbers. Zbl 0839.34033
Christopher, C. J.; Lloyd, N. G.
40
1995
On Cherkas’s method for centre conditions. Zbl 0833.34023
Christopher, C. J.; Lloyd, N. G.; Pearson, J. M.
24
1995
Invariant algebraic curves and conditions for a centre. Zbl 0821.34023
Christopher, C. J.
68
1994
Algebraic invariant curves and the integrability of polynomial systems. Zbl 0784.34008
Kooij, Robert E.; Christopher, Colin J.
24
1993
A note on the replicator equations of dynamical game theory. Zbl 0788.92026
Christopher, C.; Devlin, J.
1
1993
On the paper of Jin and Wang concerning the conditions for a centre in certain cubic systems. Zbl 0696.34026
Christopher, C. J.; Lloyd, N. G.
33
1990
Quadratic systems having a parabola as an integral curve. Zbl 0677.34034
Christopher, Colin
8
1989
all top 5

Cited by 479 Authors

144 Llibre, Jaume
83 Valls Anglés, Cláudia
79 Giné, Jaume
35 Romanovski, Valery G.
30 Gasull, Armengol
25 Han, Maoan
22 Zhang, Xiang
20 Algaba, Antonio
20 García, Isaac A.
18 García, Cristóbal
18 Yu, Pei
17 Chavarriga, Javier
16 Chen, Xingwu
16 Torregrosa, Joan
14 Christopher, Colin J.
14 Liu, Yirong
14 Vulpe, Nicolae I.
14 Zhang, Weinian
13 Grau, Maite
13 Oliveira, Regilene D. S.
12 Giacomini, Hector J.
12 Wu, Yusen
11 Ferčec, Brigita
11 Pakovich, Fedor
11 Yang, Junmin
10 Huang, Wentao
10 Rousseau, Christiane
10 Villadelprat, Jordi
10 Yomdin, Yosef
9 Liu, Changjian
9 Lloyd, Noel Glynne
9 Pearson, Jane Margaret
9 Schlomiuk, Dana I.
9 Yang, Jiazhong
8 Reyes, Manuel
8 Tian, Yun
8 Walcher, Sebastian
7 Cima, Anna
7 Ferragut, Antoni
7 Li, Feng
7 Mañosas, Francesc
7 Sáez, Eduardo
7 Szántó, Iván
6 Demina, Maria V.
6 Li, Chengzhi
6 Pantazi, Chara
6 Shafer, Douglas S.
6 Sun, Xianbo
5 Bujac, Cristina
5 Chèze, Guillaume
5 Françoise, Jean-Pierre
5 García, Belén
5 Li, Jibin
5 Mahdi, Adam
5 Maza, Susanna
5 Pérez del Río, Jesús S.
5 Prohens, Rafel
5 Sabatini, Marco
5 Teixeira, Marco Antonio
5 Wang, Zhaoxia
5 Zangeneh, Hamid R. Z.
5 Zhang, Cui
4 Amel’kin, Vladimir Vasilievich
4 Asheghi, Rasoul
4 Briskin, Miriam
4 Brudnyi, Alexander
4 Coll, Bartomeu
4 Dias, Fabio Scalco
4 Dong, Guangfeng
4 Georgiev, Zhivko Dimitrov
4 Hu, Zhaoping
4 Jarque, Xavier
4 Lynch, Sabrina
4 Medrado, João C. R.
4 Mereu, Ana Cristina
4 Ramírez, Rafael O.
4 Sadovskaia, Natalia
4 Świrszcz, Grzegorz M.
4 Tornambè, Antonio
4 Wang, Qinlong
4 Zhao, Yulin
3 Alvarez, María Jesus
3 Arriagada-Silva, Waldo
3 Artés, Joan Carles
3 Avellar, J.
3 Aziz, Waleed
3 Bakhshalizadeh, Ali
3 Borodzik, Maciej
3 Buică, Adriana
3 Caubergh, Magdalena
3 Chen, Shaoshi
3 Cherkas, Leonid A.
3 da Cruz, Leonardo Pereira Costa
3 da Mota, Luis Antonio Campinho Pereira
3 Devlin, James
3 Duarte, L. G. S.
3 Duarte, S. E. S.
3 Dukarić, Maša
3 Edneral, Victor F.
3 Freire Macías, Emilio
...and 379 more Authors
all top 5

Cited in 127 Serials

90 Journal of Differential Equations
57 Journal of Mathematical Analysis and Applications
53 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
48 Qualitative Theory of Dynamical Systems
35 Bulletin des Sciences Mathématiques
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Applied Mathematics and Computation
18 Chaos, Solitons and Fractals
16 Applied Mathematics Letters
15 Nonlinear Dynamics
14 Computers & Mathematics with Applications
12 Rocky Mountain Journal of Mathematics
11 Proceedings of the American Mathematical Society
11 Differential Equations
10 Journal of Computational and Applied Mathematics
9 Journal of Dynamics and Differential Equations
9 Journal of Nonlinear Mathematical Physics
9 Nonlinear Analysis. Real World Applications
9 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Mathematical Physics
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Journal of Symbolic Computation
8 Discrete and Continuous Dynamical Systems
7 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
7 Journal of Dynamical and Control Systems
7 Journal of Applied Analysis and Computation
6 Advances in Difference Equations
5 Journal of Geometry and Physics
5 Acta Applicandae Mathematicae
4 Israel Journal of Mathematics
4 Ergodic Theory and Dynamical Systems
4 Abstract and Applied Analysis
4 Acta Mathematica Sinica. English Series
3 International Journal of Control
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nonlinearity
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Transactions of the American Mathematical Society
3 Physica D
3 Electronic Journal of Differential Equations (EJDE)
3 Dynamical Systems
3 Communications on Pure and Applied Analysis
3 International Journal of Differential Equations
3 Science China. Mathematics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Results in Mathematics
2 Mathematical and Computer Modelling
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Differential Equations and Dynamical Systems
2 Mathematical Physics, Analysis and Geometry
2 Regular and Chaotic Dynamics
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Contemporary Mathematics
2 Analysis and Applications (Singapore)
2 Mediterranean Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Theoretical Biology
2 Nonlinear Analysis. Theory, Methods & Applications
1 Biological Cybernetics
1 Communications in Algebra
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 International Journal of Solids and Structures
1 Journal of the Mechanics and Physics of Solids
1 Physics Letters. A
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 Archiv der Mathematik
1 Automatica
1 BIT
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal of Circuit Theory and Applications
1 Inventiones Mathematicae
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Programming and Computer Software
1 Siberian Mathematical Journal
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Discrete & Computational Geometry
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Topological Methods in Nonlinear Analysis
1 NoDEA. Nonlinear Differential Equations and Applications
...and 27 more Serials

Citations by Year