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Author ID: nordmark.arne-b Recent zbMATH articles by "Nordmark, Arne B."
Published as: Nordmark, Arne; Nordmark, Arne B.; Nordmark, A.; Nordmark, A. B.
Documents Indexed: 39 Publications since 1992
Co-Authors: 22 Co-Authors with 36 Joint Publications
641 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 735 times in 485 Documents Cited by Year
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.
153
2008
On the origin and bifurcations of stick-slip oscillations. Zbl 0963.70016
Dankowicz, Harry; Nordmark, Arne B.
81
2000
Bifurcations of dynamical systems with sliding: derivation of normal-form mappings. Zbl 1008.37029
di Bernardo, M.; Kowalczyk, P.; Nordmark, A.
80
2002
Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504
di Bernardo, M.; Kowalczyk, P.; Nordmark, A.
75
2003
Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems. Zbl 1170.34027
di Bernardo, M.; Nordmark, A.; Olivar, G.
35
2008
Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators. Zbl 0887.70016
Fredriksson, Mats H.; Nordmark, Arne B.
33
1997
On normal form calculations in impact oscillators. Zbl 0968.34008
Fredriksson, Mats H.; Nordmark, Arne B.
32
2000
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.
30
2006
Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators. Zbl 1001.70020
Nordmark, Arne B.
27
2001
Simulation and stability analysis of impacting systems with complete chattering. Zbl 1183.70038
Nordmark, Arne B.; Piiroinen, Petri T.
23
2009
Low-velocity impacts of quasiperiodic oscillations. Zbl 1162.70325
Dankowicz, Harry; Piiroinen, Petri; Nordmark, Arne B.
22
2002
Effects due to low velocity impact in mechanical oscillators. Zbl 0900.70304
Nordmark, A. B.
20
1992
A codimension-two scenario of sliding solutions in grazing-sliding bifurcations. Zbl 1102.37034
Nordmark, A. B.; Kowalczyk, P.
15
2006
Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law. Zbl 1203.70027
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
14
2009
Friction-induced reverse chatter in rigid-body mechanisms with impacts. Zbl 1385.70030
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
14
2011
Instability of hyper-elastic balloon-shaped space membranes under pressure loads. Zbl 1253.74050
Eriksson, Anders; Nordmark, Arne
12
2012
3D passive walkers: Finding periodic gaits in the presence of discontinuities. Zbl 0987.70007
Adolfsson, Jesper; Dankowicz, Harry; Nordmark, Arne
11
2001
Attractors near grazing-sliding bifurcations. Zbl 1246.34019
Glendinning, P.; Kowalczyk, P.; Nordmark, A. B.
10
2012
Multiple attractors in grazing-sliding bifurcations in Filippov-type flows. Zbl 1404.37059
Glendinning, Paul; Kowalczyk, Piotr; Nordmark, Arne B.
7
2016
Discontinuity mappings for vector fields with higher order continuity. Zbl 1032.37009
Nordmark, Arne B.
5
2002
Breaking symmetries and constraints: Transitions from 2D to 3D in passive walkers. Zbl 1072.70004
Piiroinen, Petri T.; Dankowicz, Harry J.; Nordmark, Arne B.
5
2003
Experiments on the onset of impacting motion using a pipe conveying fluid. Zbl 0965.70003
Fredriksson, Mats H.; Borglund, Dan; Nordmark, Arne B.
4
1999
Two-dimensional turbulence on a sphere. Zbl 1511.76041
Lindborg, Erik; Nordmark, Arne
4
2022
Temporal finite element formulation of optimal control in mechanisms. Zbl 1231.70001
Eriksson, Anders; Nordmark, Arne
3
2010
Symmetry aspects in stability investigations for thin membranes. Zbl 1398.74202
Eriksson, Anders; Nordmark, Arne
3
2016
Wrinkling of cylindrical membranes with non-uniform thickness. Zbl 1406.74422
Patil, Amit; Nordmark, Arne; Eriksson, Anders
3
2015
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. Zbl 1393.70032
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R.
3
2018
Systems with a preferred spin direction. Zbl 0930.70014
Nordmark, A.; Essén, Hanno
2
1999
The comfortable roller coaster-on the shape of tracks with a constant normal force. Zbl 1202.70117
Nordmark, Arne B.; Essén, Hanno
2
2010
The skipping rope curve. Zbl 1128.70309
Nordmark, Arne; Essén, Hanno
1
2007
Static deformation of a heavy spring due to gravity and centrifugal force. Zbl 1423.74335
Essén, Hanno; Nordmark, Arne
1
2010
An impacting linear three body system. Zbl 1390.70018
Nordmark, Arne; Essén, Hanno
1
2018
Relativistic version of the Feynman-Dyson-Hughes derivation of the Lorentz force law and Maxwell’s homogeneous equations. Zbl 1349.78013
Essén, Hanno; Nordmark, Arne B.
1
2016
Periodic orbits close to grazing for an impact oscillator. Zbl 1314.34087
Chillingworth, D. R. J.; Nordmark, A. B.
1
2013
Constrained stability of conservative static equilibrium. Zbl 1470.74028
Eriksson, Anders; Nordmark, Arne
1
2019
Computational stability investigations for a highly symmetric system: the pressurized spherical membrane. Zbl 1464.74055
Eriksson, Anders; Nordmark, Arne
1
2020
Two-dimensional turbulence on a sphere. Zbl 1511.76041
Lindborg, Erik; Nordmark, Arne
4
2022
Computational stability investigations for a highly symmetric system: the pressurized spherical membrane. Zbl 1464.74055
Eriksson, Anders; Nordmark, Arne
1
2020
Constrained stability of conservative static equilibrium. Zbl 1470.74028
Eriksson, Anders; Nordmark, Arne
1
2019
Dynamics beyond dynamic jam; unfolding the Painlevé paradox singularity. Zbl 1393.70032
Nordmark, Arne; Várkonyi, Peter L.; Champneys, Alan R.
3
2018
An impacting linear three body system. Zbl 1390.70018
Nordmark, Arne; Essén, Hanno
1
2018
Multiple attractors in grazing-sliding bifurcations in Filippov-type flows. Zbl 1404.37059
Glendinning, Paul; Kowalczyk, Piotr; Nordmark, Arne B.
7
2016
Symmetry aspects in stability investigations for thin membranes. Zbl 1398.74202
Eriksson, Anders; Nordmark, Arne
3
2016
Relativistic version of the Feynman-Dyson-Hughes derivation of the Lorentz force law and Maxwell’s homogeneous equations. Zbl 1349.78013
Essén, Hanno; Nordmark, Arne B.
1
2016
Wrinkling of cylindrical membranes with non-uniform thickness. Zbl 1406.74422
Patil, Amit; Nordmark, Arne; Eriksson, Anders
3
2015
Periodic orbits close to grazing for an impact oscillator. Zbl 1314.34087
Chillingworth, D. R. J.; Nordmark, A. B.
1
2013
Instability of hyper-elastic balloon-shaped space membranes under pressure loads. Zbl 1253.74050
Eriksson, Anders; Nordmark, Arne
12
2012
Attractors near grazing-sliding bifurcations. Zbl 1246.34019
Glendinning, P.; Kowalczyk, P.; Nordmark, A. B.
10
2012
Friction-induced reverse chatter in rigid-body mechanisms with impacts. Zbl 1385.70030
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
14
2011
Temporal finite element formulation of optimal control in mechanisms. Zbl 1231.70001
Eriksson, Anders; Nordmark, Arne
3
2010
The comfortable roller coaster-on the shape of tracks with a constant normal force. Zbl 1202.70117
Nordmark, Arne B.; Essén, Hanno
2
2010
Static deformation of a heavy spring due to gravity and centrifugal force. Zbl 1423.74335
Essén, Hanno; Nordmark, Arne
1
2010
Simulation and stability analysis of impacting systems with complete chattering. Zbl 1183.70038
Nordmark, Arne B.; Piiroinen, Petri T.
23
2009
Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law. Zbl 1203.70027
Nordmark, Arne; Dankowicz, Harry; Champneys, Alan
14
2009
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.
153
2008
Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems. Zbl 1170.34027
di Bernardo, M.; Nordmark, A.; Olivar, G.
35
2008
The skipping rope curve. Zbl 1128.70309
Nordmark, Arne; Essén, Hanno
1
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.
30
2006
A codimension-two scenario of sliding solutions in grazing-sliding bifurcations. Zbl 1102.37034
Nordmark, A. B.; Kowalczyk, P.
15
2006
Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504
di Bernardo, M.; Kowalczyk, P.; Nordmark, A.
75
2003
Breaking symmetries and constraints: Transitions from 2D to 3D in passive walkers. Zbl 1072.70004
Piiroinen, Petri T.; Dankowicz, Harry J.; Nordmark, Arne B.
5
2003
Bifurcations of dynamical systems with sliding: derivation of normal-form mappings. Zbl 1008.37029
di Bernardo, M.; Kowalczyk, P.; Nordmark, A.
80
2002
Low-velocity impacts of quasiperiodic oscillations. Zbl 1162.70325
Dankowicz, Harry; Piiroinen, Petri; Nordmark, Arne B.
22
2002
Discontinuity mappings for vector fields with higher order continuity. Zbl 1032.37009
Nordmark, Arne B.
5
2002
Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators. Zbl 1001.70020
Nordmark, Arne B.
27
2001
3D passive walkers: Finding periodic gaits in the presence of discontinuities. Zbl 0987.70007
Adolfsson, Jesper; Dankowicz, Harry; Nordmark, Arne
11
2001
On the origin and bifurcations of stick-slip oscillations. Zbl 0963.70016
Dankowicz, Harry; Nordmark, Arne B.
81
2000
On normal form calculations in impact oscillators. Zbl 0968.34008
Fredriksson, Mats H.; Nordmark, Arne B.
32
2000
Experiments on the onset of impacting motion using a pipe conveying fluid. Zbl 0965.70003
Fredriksson, Mats H.; Borglund, Dan; Nordmark, Arne B.
4
1999
Systems with a preferred spin direction. Zbl 0930.70014
Nordmark, A.; Essén, Hanno
2
1999
Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators. Zbl 0887.70016
Fredriksson, Mats H.; Nordmark, Arne B.
33
1997
Effects due to low velocity impact in mechanical oscillators. Zbl 0900.70304
Nordmark, A. B.
20
1992
all top 5

Cited by 713 Authors

18 Simpson, David John Warwick
15 Piiroinen, Petri T.
15 Tang, Sanyi
14 Nordmark, Arne B.
12 Dankowicz, Harry J.
12 di Bernardo, Mario
12 Du, Zhengdong
12 Xu, Wei
11 Luo, Albert C. J.
10 Kowalczyk, Piotr
9 Zhusubaliev, Zhanybaĭ Tursunbaevich
8 Gardini, Laura
8 Huang, Lihong
8 Qin, Wenjie
8 Xiao, Yanni
7 Champneys, Alan R.
7 Chen, Hebai
7 Jeffrey, Mike R.
7 Mosekilde, Erik
7 Wiercigroch, Marian
7 Xie, Jianhua
6 Akhmet, Marat Ubaydulla
6 Eriksson, Anders B.
6 Gendelman, Oleg V.
6 Li, Shuangbao
6 Li, Yurong
6 Tang, Guangyao
6 Wang, Jiafu
6 Zhang, Wei
5 Banerjee, Soumitro
5 Han, Maoan
5 Hao, Yuxin
5 Legrand, Mathias
5 Li, Denghui
5 Páez Chávez, Joseph Nikolai
5 Pagano, Daniel Juan
5 Pavlovskaia, Ekaterina E.
5 Ponce, Enrique
5 Teixeira, Marco Antonio
5 Wen, Guilin
5 Xiang, Changcheng
5 Yin, Shan
5 Zhang, Weinian
4 Angulo, Fabiola
4 Brogliato, Bernard
4 Dasgupta, Anirvan
4 Fu, Shihui
4 Glendinning, Paul Alexander
4 Hogan, S. John
4 Li, Qunhong
4 Li, Shimin
4 Liu, Yang
4 Makrooni, Roya
4 Nijmeijer, Henk
4 Rachinskii, Dmitrii I.
4 Sushko, Iryna
4 Taborda, John Alexander
4 Tan, Xuewen
4 Tang, Biao
4 Tang, Yilei
4 Várkonyi, Péter László
4 Wagg, David J.
4 Wang, Liang
4 Yang, Xiaosong
4 Yu, Pei
4 Yue, Yuan
3 Avrutin, Viktor
3 Bi, Qinsheng
3 Bondarev, Anton
3 Budd, Christopher John
3 Caldas, Iberê L.
3 Cao, Qingjie
3 Chen, Xingwu
3 Cristiano, Rony
3 de Souza, Silvio Luiz Thomaz
3 Hamdallah, Soliman A. A.
3 Homer, Martin E.
3 Hosham, Hany A.
3 Ivanov, Aleksandr Pavlovich
3 Ji, Jinchen
3 Junca, Stéphane
3 Küpper, Tassilo
3 Leine, Remco I.
3 Li, Liping
3 Li, Wenxiu
3 Liang, Feng
3 Liu, Caishan
3 Liu, Changjian
3 Liu, Xinzhi
3 Lu, Qishao
3 Olivar, Gerard
3 Or, Yizhar
3 Patil, Amit
3 Shi, Xiaotao
3 Staunton, Eoghan J.
3 Wang, Aili
3 Xiong, Yanqin
3 Xu, Huidong
3 Xu, Jieqiong
3 Yang, Guidong
...and 613 more Authors
all top 5

Cited in 105 Serials

68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
50 Nonlinear Dynamics
40 Physica D
31 Chaos, Solitons and Fractals
27 Communications in Nonlinear Science and Numerical Simulation
19 Chaos
13 SIAM Journal on Applied Dynamical Systems
8 Physics Letters. A
8 Mathematics and Computers in Simulation
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 European Journal of Mechanics. A. Solids
8 Nonlinear Analysis. Real World Applications
8 Nonlinear Analysis. Hybrid Systems
7 Applied Mathematics and Computation
7 Journal of Differential Equations
6 European Journal of Physics
6 Regular and Chaotic Dynamics
5 Discrete and Continuous Dynamical Systems. Series B
4 Meccanica
4 Computational Mechanics
4 Mathematical Problems in Engineering
4 Journal of Theoretical Biology
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Computers & Mathematics with Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Mathematical Biology
3 Bulletin of Mathematical Biology
3 Automatica
3 European Journal of Applied Mathematics
3 SIAM Review
3 Multibody System Dynamics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Qualitative Theory of Dynamical Systems
3 Dynamical Systems
3 Advances in Difference Equations
3 Acta Mechanica Sinica
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Acta Mechanica
2 Journal of Computational Physics
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Biosciences
2 Nonlinearity
2 International Journal for Numerical Methods in Engineering
2 Journal of Computational and Applied Mathematics
2 Journal of Economic Dynamics & Control
2 Applied Mathematical Modelling
2 Automation and Remote Control
2 SIAM Journal on Applied Mathematics
2 Journal of Dynamics and Differential Equations
2 Archive of Applied Mechanics
2 Journal of Nonlinear Science
2 Journal of Computational Neuroscience
2 Complexity
2 Journal of Difference Equations and Applications
2 Journal of Vibration and Control
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Mathematical Biosciences and Engineering
2 Journal of Applied Analysis and Computation
1 International Journal of Control
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Physica A
1 Physics Reports
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Prikladnaya Matematika i Mekhanika
1 Geometriae Dedicata
1 Theoretical Population Biology
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Mathematical and Computer Modelling
1 Dynamics and Stability of Systems
1 International Journal of Robust and Nonlinear Control
1 New Zealand Journal of Mathematics
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Optimization Methods & Software
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Acta Mathematica Sinica. English Series
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Entropy
1 Journal of Machine Learning Research (JMLR)
1 Communications on Pure and Applied Analysis
1 Foundations of Physics
1 Boundary Value Problems
1 Journal of Biological Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 São Paulo Journal of Mathematical Sciences
1 Armenian Journal of Mathematics
1 Advances in Mathematical Physics
1 Science China. Mathematics
...and 5 more Serials

Citations by Year