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Gábor Domokos
Gábor Domokos
Professor of Geometric Modeling, Budapest University of Technology
Verified email at iit.bme.hu
Title
Cited by
Cited by
Year
Constrained Euler buckling
G Domokos, P Holmes, B Royce
Journal of Nonlinear Science 7 (3), 281-314, 1997
1671997
Geometry and self-righting of turtles
G Domokos, PL Várkonyi
Proceedings of the Royal Society B: Biological Sciences 275 (1630), 11, 2008
1322008
How river rocks round: resolving the shape-size paradox
G Domokos, DJ Jerolmack, AÁ Sipos, Á Török
PloS one 9 (2), e88657, 2014
1032014
Constrained Euler buckling: an interplay of computation and analysis
P Holmes, G Domokos, J Schmitt, I Szeberényi
Computer Methods in Applied Mechanics and Engineering 170 (3-4), 175-207, 1999
1031999
Universality of fragment shapes
G Domokos, F Kun, AA Sipos, T Szabó
Scientific reports 5 (1), 9147, 2015
822015
Reconstructing the transport history of pebbles on Mars
T Szabó, G Domokos, JP Grotzinger, DJ Jerolmack
Nature communications 6 (1), 8366, 2015
802015
Geologic history of Martian regolith breccia Northwest Africa 7034: Evidence for hydrothermal activity and lithologic diversity in the Martian crust
FM McCubbin, JW Boyce, T Novák‐Szabó, AR Santos, R Tartčse, ...
Journal of Geophysical Research: Planets 121 (10), 2120-2149, 2016
782016
Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling
G Domokos, P Holmes
Journal of Nonlinear Science 3 (1), 109-151, 1993
701993
Quantifying the significance of abrasion and selective transport for downstream fluvial grain size evolution
KL Miller, T Szabó, DJ Jerolmack, G Domokos
Journal of Geophysical Research: Earth Surface 119 (11), 2412-2429, 2014
662014
Static equilibria of rigid bodies: dice, pebbles, and the Poincaré-Hopf theorem
PL Várkonyi, G Domokos
Journal of nonlinear science 16 (3), 255-281, 2006
592006
Plato’s cube and the natural geometry of fragmentation
G Domokos, DJ Jerolmack, F Kun, J Török
Proceedings of the National Academy of Sciences 117 (31), 18178-18185, 2020
532020
Pebbles, shapes, and equilibria
G Domokos, A Sipos, T Szabó, P Várkonyi
Mathematical Geosciences 42 (1), 29-47, 2010
522010
Shell geometry and habitat determination in extinct and extant turtles (Reptilia: Testudinata)
RBJ Benson, G Domokos, PL Várkonyi, RR Reisz
Paleobiology 37 (4), 547-562, 2011
502011
Global description of elastic bars
G Domokos
Zeitschrift für angewandte Mathematik und Mechanik 74 (4), T289-T291, 1994
491994
Universal characteristics of particle shape evolution by bed-load chipping
T Novák-Szabó, AÁ Sipos, S Shaw, D Bertoni, A Pozzebon, E Grottoli, ...
Science advances 4 (3), eaao4946, 2018
462018
The evolution of pebble size and shape in space and time
G Domokos, GW Gibbons
Arxiv preprint arXiv:1109.5707, 2011
462011
Discrete and continuous state population models in a noisy world
G Domokos, I Scheuring
Journal of theoretical biology 227 (4), 535-545, 2004
432004
Parallel algorithm for the global computation of elastic bar structures
Z Gaspar, G Domokos, I Szeberenyi
Computer Assisted Mechanics and Engineering Sciences 4 (1), 55-68, 1997
421997
Mono-monostatic bodies
PL VÁrkonyi, G Domokos
The Mathematical Intelligencer 28 (4), 34-38, 2006
392006
Formation of sharp edges and planar areas of asteroids by polyhedral abrasion
G Domokos, AÁ Sipos, GM Szabó, PL Várkonyi
The Astrophysical Journal Letters 699, L13, 2009
382009
Multiple helical perversions of finite, intristically curved rods
G Domokos, TJ Healey
International Journal of Bifurcation and Chaos 15 (03), 871-890, 2005
382005
A Global, Direct Algorithm for Path-Following and Active Static Control of Elastic Bar Structures*
G Domokos, Z Gáspár
Journal of Structural Mechanics 23 (4), 549-571, 1995
361995
Impressive abrasion rates of marked pebbles on a coarse-clastic beach within a 13-month timespan
D Bertoni, G Sarti, E Grottoli, P Ciavola, A Pozzebon, G Domokos, ...
Marine Geology 381, 175-180, 2016
352016
Symmetry-breaking bifurcations of the uplifted elastic strip
G Domokos, WB Fraser, I Szeberényi
Physica D: Nonlinear Phenomena 185 (2), 67-77, 2003
342003
A group-theoretic approach to the geometry of elastic rings
G Domokos
Journal of Nonlinear Science 5 (6), 453-478, 1995
321995
Explaining the elongated shape of'Oumuamua by the Eikonal abrasion model
G Domokos, AÁ Sipos, GM Szabó, PL Várkonyi
arXiv preprint arXiv:1712.04409, 2017
292017
Static equilibria of planar, rigid bodies: is there anything new?
G Domokos, J Papadopulos, A Ruina
Journal of elasticity 36 (1), 59-66, 1994
291994
Countinuous and discrete models for abrasion processes
G Domokos, A Sipos, P Várkonyi
Per. Pol. Arch 40, 3-8, 2009
282009
Hidden symmetry of global solutions in twisted elastic rings
G Domokos, T Healey
Journal of Nonlinear Science 11 (1), 47-67, 2001
272001
A hybrid parallel approach to one-parameter nonlinear boundary value problems
G Domokos, I Szeberényi
Computer Assisted Mechanics and Engineering Sciences 11 (1), 15-34, 2004
262004
Euler buckling in a potential field
P Holmes, G Domokos, G Hek
Journal of Nonlinear Science 10 (4), 477-505, 2000
252000
Shape evolution of ooids: a geometric model
AA Sipos, G Domokos, DJ Jerolmack
Scientific Reports 8 (1), 1758, 2018
232018
Abrasion model of downstream changes in grain shape and size along the Williams River, Australia
T Szabó, S Fityus, G Domokos
Journal of Geophysical Research: Earth Surface 118 (4), 2059-2071, 2013
222013
Symbolic dynamics of infinite depth: finding global invariants for BVPs
G Károlyi, G Domokos
Physica D: Nonlinear Phenomena 134 (3), 316-336, 1999
221999
A new classification system for pebble and crystal shapes based on static equilibrium points
T Szabó, G Domokos
Central European Geology 53 (1), 1-19, 2010
212010
Ulam's scheme revisited: digital modeling of chaotic attractors via micro-perturbations
G Domokos, D Szász
212002
The mechanics of rocking stones: equilibria on separated scales
G Domokos, AÁ Sipos, T Szabó
Arxiv preprint arXiv:1104.4813, 2011
192011
Global investigation of discrete models of the Euler buckling problem
Z Gáspár, G Domokos
Acta Technica Acad. Sci. Hung 102, 227-238, 1989
191989
A general model for collision-based abrasion processes
PL Várkonyi, G Domokos
IMA Journal of Applied Mathematics 76 (1), 47, 2011
182011
Only noise can induce chaos in discrete populations
I Scheuring, G Domokos
Oikos 116 (3), 361-366, 2007
182007
On nonlinear boundary-value problems: ghosts, parasites and discretizations
G Domokos, P Holmes
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2003
182003
Random perturbations and lattice effects in chaotic population dynamics
G Domokos, I Scheuring
Science 297 (5590), 2163, 2002
172002
Balancing polyhedra
G Domokos, F Kovács, Z Lángi, K Regős, PT Varga
arXiv preprint arXiv:1810.05382, 2018
162018
A topological classification of convex bodies
G Domokos, Z Lángi, T Szabó
Geometriae Dedicata 182, 95-116, 2016
162016
Geometric sensitivity of rigid graphs
T Jordán, G Domokos, K Tóth
SIAM Journal on Discrete Mathematics 27 (4), 1710-1726, 2013
152013
On the equilibria of finely discretized curves and surfaces
G Domokos, Z Langi, T Szabo
Arxiv preprint arXiv:1106.0626, 2011
152011
Static solitary waves as limits of discretization: a plausible argument
G Domokos
Philosophical Transactions of the Royal Society of London. Series A …, 1997
151997
Monotonicity of spatial critical points evolving under curvature-driven flows
G Domokos
Journal of Nonlinear Science 25 (2), 247-275, 2015
142015
A discrete random model describing bedrock profile abrasion
AA Sipos, G Domokos, A Wilson, N Hovius
Mathematical Geosciences, 1-9, 2011
142011
Imperfect symmetry: A new approach to structural optima via group representation theory
PL Varkonyi, G Domokos
International journal of solids and structures 44 (14-15), 4723-4741, 2007
142007
The isoperimetric quotient of a convex body decreases monotonically under the Eikonal abrasion model
G Domokos, Z Lángi
Mathematika 65 (1), 119-129, 2019
132019
Geometrical and physical models of abrasion
G Domokos, GW Gibbons
arXiv preprint arXiv:1307.5633, 2013
122013
On non-inflectional solutions of non-uniform elasticae
G Domokos, P Holmes
International journal of non-linear mechanics 28 (6), 677-685, 1993
121993
Symmetry, optima and bifurcations in structural design
PL Várkonyi, G Domokos
Nonlinear Dynamics 43 (1), 47-58, 2006
112006
Qualitative Convergence in the Discrete Approximation of the Euler Problem∗
G Domokos
Journal of Structural Mechanics 21 (4), 529-543, 1993
111993
Natural numbers, natural shapes
G Domokos
Axiomathes, 1-21, 2018
102018
Quantitative modeling of facet development in ventifacts by sand abrasion
PL Várkonyi, JE Laity, G Domokos
Aeolian research 20, 25-33, 2016
102016
Regular and random patterns in complex bifurcation diagrams
E Kapsza, G Károlyi, S Kovács, G Domokos
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B 3 (4), 519-540, 2003
102003
Digital modelling of chaotic motion
G Domokos
Stud. Sci. Math. Hung 25, 323-341, 1990
101990
Generating spherical multiquadrangulations by restricted vertex splittings and the reducibility of equilibrium classes
R Kápolnai, G Domokos, T Szabó
arXiv preprint arXiv:1206.1698, 2012
92012
My lunch with Arnold
G Domokos
The Mathematical Intelligencer 28 (4), 31-33, 2006
92006
On some average properties of convex mosaics
G Domokos, Z Lángi
Experimental Mathematics 31 (3), 783-793, 2022
82022
Sturdy cycles in the chaotic Tribolium castaneum data series
I Scheuring, G Domokos
Theoretical population biology 67 (2), 127-139, 2005
82005
The geometry of abrasion
G Domokos, GW Gibbons
New Trends in Intuitive Geometry, 125-153, 2018
72018
A genealogy of convex solids via local and global bifurcations of gradient vector fields
G Domokos, P Holmes, Z Lángi
Journal of Nonlinear Science 26, 1789-1815, 2016
72016
Computer-Aided Geometric Sensitivity Analysis of Plane Trusses with a Square Grid Topology
P Dóbé, G Domokos
Periodica Polytechnica Electrical Engineering and Computer Science 58 (2), 55-68, 2014
72014
Homoclinic orbits and chaos in three–and four–dimensional flows
P Holmes, A Doelman, G Hek, G Domokos
Philosophical Transactions of the Royal Society of London. Series A …, 2001
72001
Simultaneously resolved bifurcation diagrams: a novel global approach applied to liquid figures of equilibrium
G Domokos, I Szeberényi, PH Steen
Journal of Computational Physics 159 (1), 38-57, 2000
72000
A case study on visualization for boundary value problems
G Domokos, R Paffenroth
Proceedings of the conference on Visualization'94, 345-348, 1994
71994
Alteration of sedimentary clasts in martian meteorite Northwest Africa 7034
FM McCubbin, R Tartese, AR Santos, G Domokos, N Muttik, T Szabo, ...
77th Annual Meeting of the Meteoritical Society 77 (1800), 5099, 2014
62014
The robustness of equilibria on convex solids
G Domokos, Z Lángi
Mathematika 60 (1), 237-256, 2014
62014
Ferde külpontos nyomásra igénybe vett beton és vasbeton keresztmetszetek semleges tengelyének meghatározása rugalmas, berepedt állapotban
AÁ Sipos, KP Juhász, G Domokos
Épités-Épitészettudomány 31 (1), 19-41, 2003
6*2003
Mono-unstable polyhedra with point masses have at least 8 vertices
S Bozóki, G Domokos, F Kovács, K Regős
International Journal of Solids and Structures 234, 111276, 2022
52022
Curvature flows, scaling laws and the geometry of attrition under impacts
G Pál, G Domokos, F Kun
Scientific Reports 11 (1), 20661, 2021
52021
Particle size dynamics in abrading pebble populations
AA Sipos, G Domokos, J Török
Earth Surface Dynamics Discussions 2020, 1-21, 2020
52020
Identification of primary shape descriptors on 3d scanned particles
B Ludmány, G Domokos
Periodica Polytechnica Electrical Engineering and Computer Science 62 (2), 59-64, 2018
52018
Szeber enyi I. Constrained Euler Buckling: an Interplay of Computation and Analysis Comp. Meth
P Holmes, G Domokos, J Schmitt
Appl. Mech. and Eng 170 (3-4), 175-207, 1999
51999
A circle construction based on elastostatics and hydrodynamics
G Domokos, A Ruina
Mechanics research communications 20 (3), 181-185, 1993
51993
Taylor approximation of operators with discrete rotational symmetry
G Domokos
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 1992
51992
Euler’s problem
G Domokos, P Holmes
Euler’s method, and the standard map, 0
5
A two-vertex theorem for normal tilings
G Domokos, ÁG Horváth, K Regős
Aequationes mathematicae 97 (1), 185-197, 2023
42023
Tracking critical points on evolving curves and surfaces
G Domokos, Z Lángi, AA Sipos
Experimental Mathematics 31 (1), 1-20, 2022
42022
The gömböc pill
G Domokos
The Mathematical Intelligencer 41, 9-11, 2019
42019
Emergence of asymmetry in evolution
PL Várkonyi, G Meszéna, G Domokos
Theoretical population biology 70 (1), 63-75, 2006
42006
Coarse-grained observation of discretized maps
G Domokos
International Journal of Bifurcation Chaos in Applied Sciences and …, 2005
42005
Solving generalized boundary value problems with distributed computing and recursive programming
I Szeberényi, G Domokos
Recent Advances in Parallel Virtual Machine and Message Passing Interface …, 1999
41999
CONSTRAINED EULER BUCKLING: LINE CONTACT SOLUTION}
P Holmes, J Schmitt, G Domokos
IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in …, 1998
41998
PCR-A Visualization Tool for Multi-Point Boundary Value Problems
G Domokos, R Paffenroth
Technical Note BN-1167.(University of Maryland, Institute for Physical …, 1994
41994
Can strings buckle?
G Domokos
ASME APPLIED MECHANICS DIVISION-PUBLICATIONS-AMD 167, 167-167, 1993
41993
Inductive generation of convex bodies
R Kápolnai, G Domokos
4*
A discrete time evolution model for fracture networks
G Domokos, K Regős
Central European Journal of Operations Research 32 (1), 83-94, 2024
32024
Polygonal tessellations as predictive models of molecular monolayers
K Regős, R Pawlak, X Wang, E Meyer, S Decurtins, G Domokos, ...
Proceedings of the National Academy of Sciences 120 (16), e2300049120, 2023
32023
The evolution of geological shape descriptors under distance-driven flows
G Domokos, Z Lángi
Mathematical Geosciences 50, 337-363, 2018
32018
Spacetime interpretation of torsion in prismatic bodies
G Domokos, GW Gibbons
Journal of elasticity 110, 111-116, 2013
32013
Combinatorial Measurement of the Geometric Sensitivity of Plane Trusses
P Dóbé, G Domokos
The 7th Hungarian-Japanese Symposium on Discrete Mathematics and Its …, 2011
32011
Geometrical sensitivity of statically determinate trusses
K Tóth, G Domokos, Z Gáspár
Épités-Épitészettudomány 37 (3-4), 225-240, 2009
32009
Modeling and computations in dynamical systems: in commemoration of the 100th anniversary of the birth of John von Neumann
E Doedel, G Domokos, I Kevrekidis
World Scientific, 2006
32006
Asymmetrical, spatial deformations of reinforced concrete columns and prestressed beams
A Sipos, G Domokos
Proc. FIB Symposium on “Keep concrete active 2, 693-699, 2005
32005
A hybrid parallel approach to one-parameter nonlinear boundary value problems
G Domokos, I Szeberényi
Computer Assisted Mechanics and Engineering Sciences 11, 1-20, 2001
32001
An elastic model with continuous spectrum
D Gábor
Bifurcation and Chaos: Analysis, Algorithms, Applications, 99-103, 1991
31991
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