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Chillingworth, D. R. J.

Author ID: chillingworth.d-r-j Recent zbMATH articles by "Chillingworth, D. R. J."
Published as: Chillingworth, D. R. J.
Documents Indexed: 32 Publications since 1967, including 1 Book
Co-Authors: 14 Co-Authors with 11 Joint Publications
449 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 275 times in 222 Documents Cited by Year
Differential topology with a view to applications. Zbl 0336.58001
Chillingworth, D. R. J.
43
1976
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
30
1972
A finite set of generators for the homeotopy group of a non-orientable surface. Zbl 0172.48801
Chillingworth, D. R. J.
27
1969
Winding numbers on surfaces. I. Zbl 0221.57001
Chillingworth, D. R. J.
25
1972
Discontinuity geometry for an impact oscillator. Zbl 1048.34025
Chillingworth, D. R. J.
24
2002
Dynamics of an impact oscillator near a degenerate graze. Zbl 1210.34018
Chillingworth, D. R. J.
22
2010
Symmetry and bifurcation in three-dimensional elasticity. I. Zbl 0509.73018
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
22
1982
Winding numbers on surfaces. II: Applications. Zbl 0231.57002
Chillingworth, D. R. J.
18
1972
Symmetry and bifurcation in three-dimensional elasticity. II. Zbl 0536.73010
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
14
1983
Collapsing three-dimensional convex polyhedra. Zbl 0152.22601
Chillingworth, D. R. J.
11
1967
Simple closed curves on surfaces. Zbl 0182.57603
Chillingworth, D. R. J.
9
1969
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
5
2000
Collapsing three-dimensional convex polyhedra: correction. Zbl 0451.57008
Chillingworth, D. R. J.
4
1980
Geometry and dynamics of a nematic liquid crystal in a uniform shear flow. Zbl 0965.82025
Chillingworth, D. R. J.; Vicente Alonso, E.; Wheeler, A. A.
3
2001
Veronese and the detectives: Finding the symmetry of attractors. Zbl 0849.58043
Chillingworth, D. R. J.
2
1996
A note on nonrigid Nash structures. Zbl 0211.26703
Chillingworth, D. R. J.; Hubbard, J.
2
1971
Generic bifurcation from a 2-manifold. Zbl 0976.37027
Chillingworth, D. R. J.
2
2000
Molien series and low-degree invariants for a natural action of \(\mathrm{SO}(3)\,\wr \,\mathrm{Z}_{2}\). Zbl 1316.22021
Chillingworth, D. R. J.; Lauterbach, R.; Turzi, S. S.
2
2015
Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals. Zbl 1404.82073
Chillingworth, D. R. J.
2
2016
The Signorini perturbation scheme in an abstract setting. Zbl 0735.73091
Chillingworth, D. R. J.
1
1991
An algorithm for families of disjoint simple closed curves on surfaces. Zbl 0215.24302
Chillingworth, D. R. J.
1
1971
Bifurcation from a normally degenerate manifold. Zbl 1198.58013
Chillingworth, D. R. J.; Sbano, L.
1
2010
Critical points and symmetries of a free energy function for biaxial nematic liquid crystals. Zbl 1351.37209
Chillingworth, D. R. J.
1
2015
Periodic orbits close to grazing for an impact oscillator. Zbl 1314.34087
Chillingworth, D. R. J.; Nordmark, A. B.
1
2013
Universal bifurcation problems. Zbl 0497.58011
Chillingworth, D. R. J.
1
1982
Notes on some recent methods in bifurcation theory. Zbl 0669.58007
Chillingworth, D. R. J.
1
1985
The ubiquitous astroid. Zbl 0678.34034
Chillingworth, D.
1
1987
Forcing, damping and detuning for single and coupled van der Pol oscillators. Zbl 1296.34086
Chillingworth, D. R. J.; Afshar-nejad, Z.
1
2014
Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals. Zbl 1404.82073
Chillingworth, D. R. J.
2
2016
Molien series and low-degree invariants for a natural action of \(\mathrm{SO}(3)\,\wr \,\mathrm{Z}_{2}\). Zbl 1316.22021
Chillingworth, D. R. J.; Lauterbach, R.; Turzi, S. S.
2
2015
Critical points and symmetries of a free energy function for biaxial nematic liquid crystals. Zbl 1351.37209
Chillingworth, D. R. J.
1
2015
Forcing, damping and detuning for single and coupled van der Pol oscillators. Zbl 1296.34086
Chillingworth, D. R. J.; Afshar-nejad, Z.
1
2014
Periodic orbits close to grazing for an impact oscillator. Zbl 1314.34087
Chillingworth, D. R. J.; Nordmark, A. B.
1
2013
Dynamics of an impact oscillator near a degenerate graze. Zbl 1210.34018
Chillingworth, D. R. J.
22
2010
Bifurcation from a normally degenerate manifold. Zbl 1198.58013
Chillingworth, D. R. J.; Sbano, L.
1
2010
Discontinuity geometry for an impact oscillator. Zbl 1048.34025
Chillingworth, D. R. J.
24
2002
Geometry and dynamics of a nematic liquid crystal in a uniform shear flow. Zbl 0965.82025
Chillingworth, D. R. J.; Vicente Alonso, E.; Wheeler, A. A.
3
2001
Generic multiparameter bifurcation from a manifold. Zbl 0956.37036
Chillingworth, D. R. J.
5
2000
Generic bifurcation from a 2-manifold. Zbl 0976.37027
Chillingworth, D. R. J.
2
2000
Veronese and the detectives: Finding the symmetry of attractors. Zbl 0849.58043
Chillingworth, D. R. J.
2
1996
The Signorini perturbation scheme in an abstract setting. Zbl 0735.73091
Chillingworth, D. R. J.
1
1991
The ubiquitous astroid. Zbl 0678.34034
Chillingworth, D.
1
1987
Notes on some recent methods in bifurcation theory. Zbl 0669.58007
Chillingworth, D. R. J.
1
1985
Symmetry and bifurcation in three-dimensional elasticity. II. Zbl 0536.73010
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
14
1983
Symmetry and bifurcation in three-dimensional elasticity. I. Zbl 0509.73018
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
22
1982
Universal bifurcation problems. Zbl 0497.58011
Chillingworth, D. R. J.
1
1982
Collapsing three-dimensional convex polyhedra: correction. Zbl 0451.57008
Chillingworth, D. R. J.
4
1980
Differential topology with a view to applications. Zbl 0336.58001
Chillingworth, D. R. J.
43
1976
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
30
1972
Winding numbers on surfaces. I. Zbl 0221.57001
Chillingworth, D. R. J.
25
1972
Winding numbers on surfaces. II: Applications. Zbl 0231.57002
Chillingworth, D. R. J.
18
1972
A note on nonrigid Nash structures. Zbl 0211.26703
Chillingworth, D. R. J.; Hubbard, J.
2
1971
An algorithm for families of disjoint simple closed curves on surfaces. Zbl 0215.24302
Chillingworth, D. R. J.
1
1971
A finite set of generators for the homeotopy group of a non-orientable surface. Zbl 0172.48801
Chillingworth, D. R. J.
27
1969
Simple closed curves on surfaces. Zbl 0182.57603
Chillingworth, D. R. J.
9
1969
Collapsing three-dimensional convex polyhedra. Zbl 0152.22601
Chillingworth, D. R. J.
11
1967
all top 5

Cited by 308 Authors

9 Szepietowski, Błażej
8 Holmes, Philip J.
7 Benedetti, Bruno
6 Marsden, Jerrold Eldon
6 Xie, Jianhua
5 Chillingworth, D. R. J.
5 Li, Denghui
5 Stukow, Michał
4 Adiprasito, Karim Alexander
4 Altunöz, Tülin
4 Grebogi, Celso
4 Pamuk, Mehmetcik
4 Wan, Yieh-Hei
4 Wen, Guilin
4 Yıldız, Oğuz
4 Yin, Shan
4 Yue, Yuan
3 Calderon, Aaron
3 Ding, Wangcai
3 Du, Zhengdong
3 Kobayashi, Ryoma
3 Lauterbach, Reiner
3 Miao, Pengcheng
3 Salter, Nick
3 Wu, Xin
2 Banavar, Ravi N.
2 Budd, Christopher John
2 Cao, Zhenbang
2 Chen, Hebai
2 Crutchfield, James P.
2 Ezell, Cloyd L.
2 Forest, Mark Gregory
2 Gadgil, Siddhartha
2 Irmer, Ingrid
2 Jeffrey, Mike R.
2 Leśniak, Marta
2 Li, Guofang
2 McClamroch, N. Harris
2 Mucci, Domenico
2 Musafirov, Eduard Vladimirovich
2 Nakamoto, Atsuhiro
2 Nicolodi, Lorenzo
2 Nzengwa, Robert
2 Paris, Luis
2 Piiroinen, Petri T.
2 Recke, Lutz
2 Rodrigues, Alexandre A. P.
2 Shiota, Masahiro
2 Teixeira, Marco Antonio
2 Tonon, Durval José
1 Abouzaid, Mohammed
1 Aeyels, Dirk
1 Afsharnezhad, Zahra
1 Akhmet, Marat Ubaydulla
1 Aleksić, Zoran
1 Alves, Alexandre Miranda
1 Amiot, Claire
1 Aracil, Javier
1 Arettines, Chris
1 Ariaratnam, Sinnathamby T.
1 Armas-Sanabria, Lorena
1 Armbruster, Dieter
1 Ashwin, Peter
1 Azam, Haniya
1 Ball, John MacLeod
1 Banerjee, Soumitro
1 Battelli, Flaviano
1 Bayadi, Ramaprakash
1 Bemelmans, Josef
1 ben Simon, Gabi
1 Bertrand, Gilles
1 Bessa, Mário
1 Billings, Stephen A.
1 Birman, Joan S.
1 Bisi, Fulvio
1 Blanchet, Christian
1 Błaszczyk, Zbigniew
1 Bogopolski, Oleg
1 Bonanno, Giacomo
1 Broomhead, David S.
1 Buică, Adriana
1 Bujalance, Emilio
1 Burger, Marc
1 Çağ, Sabahattin
1 Carter, J. Scott
1 Champneys, Alan R.
1 Chas, Moira
1 Childers, Leah R.
1 Chillingworth, David R.
1 Cirre, Francisco-Javier
1 Cohen, Avis H.
1 Corless, Robert Malcolm
1 Corson, Samuel M.
1 Cotta-Ramusino, Paolo
1 Couprie, Michel
1 Craggs, Robert
1 Crowley, Katherine
1 Dahmani, François
1 Dangelmayr, Gerhard
1 de Carvalho, Maria Pires
...and 208 more Authors
all top 5

Cited in 109 Serials

14 Physica D
10 Geometriae Dedicata
10 Nonlinear Dynamics
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Archive for Rational Mechanics and Analysis
7 Transactions of the American Mathematical Society
7 Topology and its Applications
6 Journal of Differential Equations
6 Osaka Journal of Mathematics
5 Journal of Pure and Applied Algebra
5 Mathematische Annalen
4 Advances in Mathematics
4 Proceedings of the American Mathematical Society
4 Journal of Elasticity
4 Journal of Knot Theory and its Ramifications
4 Algebraic & Geometric Topology
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Dynamics and Stability of Systems
3 Communications in Nonlinear Science and Numerical Simulation
3 Dynamical Systems
2 International Journal of Control
2 International Journal of Systems Science
2 Journal of Mathematical Analysis and Applications
2 Nonlinearity
2 Journal of Combinatorial Theory. Series B
2 Meccanica
2 Systems & Control Letters
2 Applied Mathematical Modelling
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Mathematical Imaging and Vision
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 European Journal of Control
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Nonlinear Analysis. Theory, Methods & Applications
1 Biological Cybernetics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Nuclear Physics. B
1 Physics Reports
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Automatica
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Economic Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Studies in Applied Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Combinatorica
1 Applied Mathematics and Mechanics. (English Edition)
1 Computer Aided Geometric Design
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Geometric and Functional Analysis. GAFA
1 European Journal of Operational Research
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Experimental Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Journal of Difference Equations and Applications
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Journal of the European Mathematical Society (JEMS)
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Qualitative Theory of Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Dynamical Systems and Geometric Theories
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Applied Dynamical Systems
1 Bulletin of the American Mathematical Society
...and 9 more Serials
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Cited in 44 Fields

84 Manifolds and cell complexes (57-XX)
53 Dynamical systems and ergodic theory (37-XX)
42 Group theory and generalizations (20-XX)
34 Ordinary differential equations (34-XX)
26 Mechanics of deformable solids (74-XX)
21 Mechanics of particles and systems (70-XX)
18 Global analysis, analysis on manifolds (58-XX)
13 Partial differential equations (35-XX)
13 Systems theory; control (93-XX)
11 Fluid mechanics (76-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Combinatorics (05-XX)
7 Algebraic geometry (14-XX)
7 Functions of a complex variable (30-XX)
6 Differential geometry (53-XX)
6 Algebraic topology (55-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Convex and discrete geometry (52-XX)
4 Associative rings and algebras (16-XX)
4 Numerical analysis (65-XX)
4 Biology and other natural sciences (92-XX)
3 Topological groups, Lie groups (22-XX)
3 General topology (54-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Category theory; homological algebra (18-XX)
2 Operator theory (47-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Functional analysis (46-XX)
1 Statistics (62-XX)

Citations by Year