# zbMATH — the first resource for mathematics

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 Documents Indexed: 41 Publications since 1983
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#### Co-Authors

 6 single-authored 5 Dichmann, Donald J. 3 Manning, Robert S. 3 Pego, Robert L. 2 Chouaieb, Nadia 2 Kehrbaum, S. 2 Rogers, Kathleen A. 2 Sachs, Robert L. 2 Smutny, Jaroslav 1 Alexander, James Crew 1 Banavar, Jayanth R. 1 Caflisch, Russel E. 1 Carlen, M. 1 Dittmer, Evelyn 1 Goriely, Alain 1 Graf, Arnulf B. A. 1 Greenberg, Leon 1 Hoffman, Kathleen A. 1 Horenko, Illia 1 Jacobson, Dmitry 1 Keller, Joseph Bishop 1 Kraus, David 1 Krishnaprasad, P.s. 1 Lankas, Filip 1 Laurie, Ben 1 Li, Yiwei 1 Malek-Madani, Reza 1 Maritan, Amos 1 Metzner, Philipp 1 Moakher, Maher 1 Overton, Michael L. 1 Paffenroth, Randy C. 1 Panaretos, Victor M. 1 Parry, Gareth P. 1 Schuricht, Friedemann 1 Schütte, Christof 1 von der Mosel, Heiko 1 Wang, Lisheng 1 Warner, Jeremy A.
all top 5

#### Serials

 4 Archive for Rational Mechanics and Analysis 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 2 Communications on Pure and Applied Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Mathematical Analysis 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Journal of the American Statistical Association 1 Mathematische Nachrichten 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation
all top 5

#### Fields

 21 Mechanics of deformable solids (74-XX) 12 Mechanics of particles and systems (70-XX) 8 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 515 times in 380 Documents Cited by Year
Global curvature, thickness, and the ideal shapes of knots. Zbl 1057.57500
1999
Global curvature and self-contact of nonlinearly elastic curves and rods. Zbl 1006.49001
Gonzalez, O.; Maddocks, J. H.; Schuricht, F.; von der Mosel, H.
2002
On the stability of KdV multi-solitons. Zbl 0795.35107
Maddocks, John H.; Sachs, Robert L.
1993
Stability of nonlinearly elastic rods. Zbl 0545.73039
1984
Helices. Zbl 1160.74373
2006
Second-order comparison of Gaussian random functions and the geometry of DNA minicircles. Zbl 1392.62162
Panaretos, Victor M.; Kraus, David; Maddocks, John H.
2010
Hamiltonian formulations and symmetries in rod mechanics. Zbl 0864.92004
Dichmann, Donald J.; Li, Yiwei; Maddocks, John H.
1996
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
1991
Elastic rods, rigid bodies, quaternions and the last quadrature. Zbl 0895.73029
1997
Conservation laws in the dynamics of rods. Zbl 0808.73042
Maddocks, John H.; Dichmann, Donald J.
1994
Isoperimetric conjugate points with application to the stability of DNA minicircles. Zbl 1002.92507
Manning, Robert S.; Rogers, Kathleen A.; Maddocks, John H.
1998
Nonlinear dynamical theory of the elastica. Zbl 0589.73057
Caflisch, Russel E.; Maddocks, John H.
1984
An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021
Maddocks, John H.; Pego, Robert L.
1995
Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L.
1996
Kirchhoff’s problem of helical equilibria of uniform rods. Zbl 1071.74031
2004
A double-strand elastic rod theory. Zbl 1070.74026
2005
Restricted quadratic forms, inertia theorems, and the Schur complement. Zbl 0653.15020
1988
On the stability of relative equilibria. Zbl 0734.70006
1991
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
1995
Self-interactions of strands and sheets. Zbl 1029.82511
Banavar, Jayanth R.; Gonzalez, Oscar; Maddocks, John H.; Maritan, Amos
2003
Restricted quadratic forms and their application to bifurcation and stability in constrained variational principles. Zbl 0581.47049
1985
An impetus-striction simulation of the dynamics of an elastica. Zbl 0854.73032
Dichmann, D. J.; Maddocks, J. H.
1996
Biarcs, global radius of curvature, and the computation of ideal knot shapes. Zbl 1095.57004
Carlen, M.; Laurie, B.; Maddocks, J. H.; Smutny, J.
2005
On the maneuvering of vehicles. Zbl 0638.70004
Alexander, James C.; Maddocks, J. H.
1988
Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010
Gonzalez, O.; Maddocks, J. H.; Pego, R. L.
2001
Curves, circles, and spheres. Zbl 1029.53003
Gonzalez, O.; Maddocks, J. H.; Smutny, J.
2002
Ropes in equilibrium. Zbl 0627.73100
Maddocks, John H.; Keller, Joseph B.
1987
On the stochastic modeling of rigid body systems with application to polymer dynamics. Zbl 1200.60048
Walter, J.; Gonzalez, O.; Maddocks, J. H.
2010
Steady-state shear-bands in thermo-plasticity. I: Vanishing yield stress. Zbl 0762.73025
1992
Dynamics of a rigid body in a Stokes fluid. Zbl 1065.76048
Gonzalez, O.; Graf, A. B. A.; Maddocks, J. H.
2004
The bordered operator and the index of a constrained critical point. Zbl 0964.47005
Greenberg, Leon; Maddocks, John H.; Hoffman, Kathleen A.
2000
Symmetry breaking and the twisted elastic ring. Zbl 0949.74032
Manning, Robert S.; Maddocks, John H.
1999
Constrained variational principles and stability in Hamiltonian systems. Zbl 0838.58009
Maddocks, John H.; Sachs, Robert L.
1995
A model for twinning. Zbl 0585.73003
Maddocks, John H.; Parry, Gareth P.
1986
Errata: Restricted quadratic forms and their applications to bifurcation and stability in constrained variational principles. Zbl 0672.47050
1988
An impetus-striction simulation of the dynamics of an elastica. Zbl 0989.74040
Dichmann, D. J.; Maddocks, J. H.
2000
Second-order comparison of Gaussian random functions and the geometry of DNA minicircles. Zbl 1392.62162
Panaretos, Victor M.; Kraus, David; Maddocks, John H.
2010
On the stochastic modeling of rigid body systems with application to polymer dynamics. Zbl 1200.60048
Walter, J.; Gonzalez, O.; Maddocks, J. H.
2010
Helices. Zbl 1160.74373
2006
A double-strand elastic rod theory. Zbl 1070.74026
2005
Biarcs, global radius of curvature, and the computation of ideal knot shapes. Zbl 1095.57004
Carlen, M.; Laurie, B.; Maddocks, J. H.; Smutny, J.
2005
Kirchhoff’s problem of helical equilibria of uniform rods. Zbl 1071.74031
2004
Dynamics of a rigid body in a Stokes fluid. Zbl 1065.76048
Gonzalez, O.; Graf, A. B. A.; Maddocks, J. H.
2004
Self-interactions of strands and sheets. Zbl 1029.82511
Banavar, Jayanth R.; Gonzalez, Oscar; Maddocks, John H.; Maritan, Amos
2003
Global curvature and self-contact of nonlinearly elastic curves and rods. Zbl 1006.49001
Gonzalez, O.; Maddocks, J. H.; Schuricht, F.; von der Mosel, H.
2002
Curves, circles, and spheres. Zbl 1029.53003
Gonzalez, O.; Maddocks, J. H.; Smutny, J.
2002
Multi-multiplier ambient-space formulations of constrained dynamical systems, with an application to elastodynamics. Zbl 0985.70010
Gonzalez, O.; Maddocks, J. H.; Pego, R. L.
2001
The bordered operator and the index of a constrained critical point. Zbl 0964.47005
Greenberg, Leon; Maddocks, John H.; Hoffman, Kathleen A.
2000
An impetus-striction simulation of the dynamics of an elastica. Zbl 0989.74040
Dichmann, D. J.; Maddocks, J. H.
2000
Global curvature, thickness, and the ideal shapes of knots. Zbl 1057.57500
1999
Symmetry breaking and the twisted elastic ring. Zbl 0949.74032
Manning, Robert S.; Maddocks, John H.
1999
Isoperimetric conjugate points with application to the stability of DNA minicircles. Zbl 1002.92507
Manning, Robert S.; Rogers, Kathleen A.; Maddocks, John H.
1998
Elastic rods, rigid bodies, quaternions and the last quadrature. Zbl 0895.73029
1997
Hamiltonian formulations and symmetries in rod mechanics. Zbl 0864.92004
Dichmann, Donald J.; Li, Yiwei; Maddocks, John H.
1996
Hamiltonian dynamics of an elastica and the stability of solitary waves. Zbl 0861.73036
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L.
1996
An impetus-striction simulation of the dynamics of an elastica. Zbl 0854.73032
Dichmann, D. J.; Maddocks, J. H.
1996
An unconstrained Hamiltonian formulation for incompressible fluid flow. Zbl 0824.76021
Maddocks, John H.; Pego, Robert L.
1995
Stability theory for dissipatively perturbed Hamiltonian systems. Zbl 0828.70010
Maddocks, John H.; Overton, Michael L.
1995
Constrained variational principles and stability in Hamiltonian systems. Zbl 0838.58009
Maddocks, John H.; Sachs, Robert L.
1995
Conservation laws in the dynamics of rods. Zbl 0808.73042
Maddocks, John H.; Dichmann, Donald J.
1994
On the stability of KdV multi-solitons. Zbl 0795.35107
Maddocks, John H.; Sachs, Robert L.
1993
Steady-state shear-bands in thermo-plasticity. I: Vanishing yield stress. Zbl 0762.73025
1992
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
1991
On the stability of relative equilibria. Zbl 0734.70006
1991
Restricted quadratic forms, inertia theorems, and the Schur complement. Zbl 0653.15020
1988
On the maneuvering of vehicles. Zbl 0638.70004
Alexander, James C.; Maddocks, J. H.
1988
Errata: Restricted quadratic forms and their applications to bifurcation and stability in constrained variational principles. Zbl 0672.47050
1988
Ropes in equilibrium. Zbl 0627.73100
Maddocks, John H.; Keller, Joseph B.
1987
A model for twinning. Zbl 0585.73003
Maddocks, John H.; Parry, Gareth P.
1986
Restricted quadratic forms and their application to bifurcation and stability in constrained variational principles. Zbl 0581.47049
1985
Stability of nonlinearly elastic rods. Zbl 0545.73039
1984
Nonlinear dynamical theory of the elastica. Zbl 0589.73057
Caflisch, Russel E.; Maddocks, John H.
1984
all top 5

#### Cited by 506 Authors

 11 von der Mosel, Heiko 9 Goriely, Alain 9 Maddocks, John H. 8 Rawdon, Eric J. 8 Reiter, Philipp 8 Strzelecki, Paweł 7 Muñoz, Claudio 6 Vera, Juan A. 5 Alejo, Miguel A. 5 Antman, Stuart S. 5 Bridges, Thomas J. 5 Cantarella, Jason H. 5 Kumar, Ajeet 5 Scheeres, Daniel J. 5 van der Heijden, Gert H. M. 5 Wang, Yue 5 Xu, Shijie 4 Ali, Ahmad Tawfik 4 Blatt, Simon 4 Denne, Elizabeth 4 Domokos, Gábor 4 Durumeric, Oguz C. 4 Gay-Balmaz, François 4 Hanna, James A. 4 Hoffman, Kathleen A. 4 Holm, Darryl D. 4 Holmes, Philip J. 4 Kokoszka, Piotr S. 4 Kolasiński, Sławomir 4 Purohit, Prashant K. 4 Putkaradze, Vakhtang 4 Ratiu, Tudor Stefan 4 Sullivan, John M. jun. 4 Tian, Yongge 3 Bao, Z. B. 3 Clauvelin, Nicolas 3 Coleman, Bernard David 3 Constantin, Peter 3 Deconinck, Bernard 3 Diao, Yuanan 3 Dichmann, Donald J. 3 Fu, Joseph Howland Guthrie 3 Guo, Jia 3 Healey, Timothy J. 3 Horváth, Lajos 3 Il’ichev, Andreĭ Teĭmurazovich 3 Kawakubo, Satoshi 3 Kirillov, Oleg N. 3 Levyakov, Stanislav V. 3 Manning, Robert S. 3 Mehrmann, Volker 3 Neukirch, Sébastien 3 Pelinovsky, Dmitry Efimovich 3 Sachkov, Yuriĭ Leonidovich 3 Scholtes, Sebastian 3 Seidman, Thomas I. 3 Seiler, Werner M. 3 Simon, Jonathan K. 3 Sommacal, Matteo 3 Thompson, John Michael T. 3 Zhang, Jinting 3 Zhou, Bu 2 Ameline, Olivier 2 Aouadi, Saloua Mani 2 Argudo, David 2 Arnold, Martin 2 Audoly, Basile 2 Banavar, Jayanth R. 2 Barone, Vincenzo 2 Bartels, Sören 2 Boente, Graciela 2 Chamekh, Mourad 2 Choi, Jinho 2 Cognet, Jean A. H. 2 De Lillo, Silvana 2 Dill, Ellis Harold 2 Duran, Angel 2 Ernst, Claus 2 Fremdt, Stefan 2 Gerlach, Henryk 2 Haliyo, Sinan 2 Holmer, Justin 2 Hornung, Peter 2 Hu, Kai 2 Huang, Xingxi 2 Hušková, Marie 2 İlarslan, Kazim 2 Kim, Youngho 2 Klar, Axel 2 Koiso, Miyuki 2 Koiso, Norihito 2 Lang, Holger 2 Lessinnes, Thomas 2 Leyendecker, Sigrid 2 Linn, Joachim 2 Liu, Jianguo 2 Lopes, Orlando Francisco 2 Majumdar, Apala 2 Maritan, Amos 2 Marsden, Jerrold Eldon ...and 406 more Authors
all top 5

#### Cited in 157 Serials

 23 Journal of Elasticity 14 Archive for Rational Mechanics and Analysis 14 Journal of Nonlinear Science 12 Computer Methods in Applied Mechanics and Engineering 12 Physica D 11 Journal of Knot Theory and its Ramifications 10 Journal of Computational Physics 10 Celestial Mechanics and Dynamical Astronomy 8 Nonlinear Dynamics 7 Journal of the Mechanics and Physics of Solids 7 Linear Algebra and its Applications 7 Calculus of Variations and Partial Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Topology and its Applications 5 Communications in Mathematical Physics 5 Journal of Differential Equations 5 Journal of Multivariate Analysis 4 Acta Mechanica 4 Journal of Mathematical Physics 4 Mathematics of Computation 4 Mathematical and Computer Modelling 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of Statistical Physics 3 Reviews of Modern Physics 3 Journal of Statistical Planning and Inference 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Studies in Applied Mathematics 3 Applied Numerical Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Applied Mathematics 3 Experimental Mathematics 3 Mathematics and Mechanics of Solids 3 Geometry & Topology 3 Journal of Physics A: Mathematical and Theoretical 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 International Journal of Solids and Structures 2 Journal of Fluid Mechanics 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the American Statistical Association 2 Journal of Optimization Theory and Applications 2 Mathematische Nachrichten 2 Mechanics Research Communications 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Physics of Fluids 2 Advances in Applied Clifford Algebras 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Multibody System Dynamics 2 Sankhyā. Series A 2 Molecular Based Mathematical Biology 2 Computational and Mathematical Biophysics 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Biology 1 Nonlinearity 1 Scandinavian Journal of Statistics 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Computer Aided Geometric Design ...and 57 more Serials
all top 5

#### Cited in 38 Fields

 138 Mechanics of deformable solids (74-XX) 67 Partial differential equations (35-XX) 60 Differential geometry (53-XX) 57 Mechanics of particles and systems (70-XX) 47 Dynamical systems and ergodic theory (37-XX) 46 Manifolds and cell complexes (57-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 34 Fluid mechanics (76-XX) 33 Numerical analysis (65-XX) 29 Statistics (62-XX) 19 Biology and other natural sciences (92-XX) 18 Ordinary differential equations (34-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Probability theory and stochastic processes (60-XX) 8 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 7 Measure and integration (28-XX) 6 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 3 Optics, electromagnetic theory (78-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)