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Author ID: homburg.ale-jan Recent zbMATH articles by "Homburg, Ale Jan"
Published as: Homburg, Ale Jan; Homburg, A. J.

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 518 times in 370 Documents Cited by Year
Homoclinic and heteroclinic bifurcations in vector fields. Zbl 1243.37024
Homburg, Ale Jan; Sandstede, Björn
95
2010
Resonant homoclinic flip bifurcations. Zbl 0990.37038
Homburg, Ale Jan; Krauskopf, Bernd
51
2000
Global aspects of homoclinic bifurcations of vector fields. Zbl 0862.34042
Homburg, Ale Jan
36
1996
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Zbl 0864.58044
Homburg, Ale Jan; Kokubu, Hiroshi; Krupa, Martin
32
1994
Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria. Zbl 1017.37012
Homburg, Ale Jan
24
2002
Homoclinic-doubling cascades. Zbl 1073.37059
Homburg, Ale Jan; Kokubu, Hiroshi; Naudot, Vincent
21
2001
Bifurcations of stationary measures of random diffeomorphisms. Zbl 1135.37021
Zmarrou, Hicham; Homburg, Ale Jan
21
2007
Random interval diffeomorphisms. Zbl 1369.37051
Gharaei, Masoumeh; Homburg, Ale Jan
20
2017
Multiple homoclinic orbits in conservative and reversible systems. Zbl 1162.34034
Homburg, Ale Jan; Knobloch, Jürgen
17
2006
Robust minimality of iterated function systems with two generators. Zbl 1351.37081
Homburg, Ale Jan; Nassiri, Meysam
15
2014
Switching homoclinic networks. Zbl 1204.37028
Homburg, Ale Jan; Knobloch, Jürgen
13
2010
Dynamics and bifurcations of random circle diffeomorphism. Zbl 1153.37372
Zmarrou, Hicham; Homburg, Ale Jan
12
2008
Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Zbl 1268.37023
Golmakani, A.; Homburg, A. J.
12
2011
On the computation of invariant manifolds of fixed points. Zbl 0827.58043
Homburg, A. J.; Osinga, H. M.; Vegter, G.
10
1995
Hard bifurcations in dynamical systems with bounded random perturbations. Zbl 1164.34402
Homburg, A. J.; Young, T.
10
2006
Asymptotics for a class of iterated random cubic operators. Zbl 1501.37086
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
9
2019
Synchronization in minimal iterated function systems on compact manifolds. Zbl 1408.37038
Homburg, Ale Jan
8
2018
\(C^{1}\) robustly minimal iterated function systems. Zbl 1183.37079
Ghane, F. H.; Homburg, A. J.; Sarizadeh, A.
8
2010
Iterated function systems of logistic maps: synchronization and intermittency. Zbl 1394.37067
Abbasi, Neda; Gharaei, Masoumeh; Homburg, Ale Jan
7
2018
A geometric criterion for positive topological entropy. II: Homoclinic tangencies. Zbl 0989.37007
Homburg, Ale Jan; Weiss, Howard
7
1999
Circle diffeomorphisms forced by expanding circle maps. Zbl 1271.37034
Homburg, Ale Jan
7
2012
Singular heteroclinic cycles. Zbl 0954.34031
Homburg, Ale Jan
6
2000
Essentially asymptotically stable homoclinic networks. Zbl 1185.37133
Driesse, R.; Homburg, A. J.
6
2009
Bifurcation from codimension one relative homoclinic cycles. Zbl 1247.34075
Homburg, Ale Jan; Jukes, Alice C.; Knobloch, Jürgen; Lamb, Jeroen S. W.
5
2011
The Hopf bifurcation with bounded noise. Zbl 1291.37094
Botts, Ryan T.; Homburg, Ale Jan; Young, Todd R.
5
2012
Critical intermittency in random interval maps. Zbl 1505.37065
Homburg, Ale Jan; Kalle, Charlene; Ruziboev, Marks; Verbitskiy, Evgeny; Zeegers, Benthen
5
2022
Piecewise smooth interval maps with non-vanishing derivative. Zbl 0963.37032
Homburg, Ale Jan
4
2000
Intermittency in families of unimodal maps. Zbl 1032.37020
Homburg, Ale Jan; Young, Todd
4
2002
Accumulations of \(T\)-points in a model for solitary pulses in an excitable reaction-diffusion medium. Zbl 1068.35016
Homburg, Ale Jan; Natiello, Mario A.
4
2005
Resonance bifurcation from homoclinic cycles. Zbl 1170.34031
Driesse, Ramon; Homburg, Ale Jan
4
2009
Atomic disintegrations for partially hyperbolic diffeomorphisms. Zbl 1375.37069
Homburg, Ale Jan
4
2017
Symmetric homoclinic tangles in reversible systems. Zbl 1132.37013
Homburg, Ale Jan; Lamb, Jeroen S. W.
4
2006
Resonant heteroclinic cycles and singular hyperbolic attractors in models for skewed varicose instability. Zbl 1080.34019
Khanh, Nguyen Huu; Homburg, Ale Jan
3
2005
Bifurcations of random differential equations with bounded noise. Zbl 1376.37099
Homburg, Ale Jan; Young, Todd R.; Gharaei, Masoumeh
3
2013
Skew products of interval maps over subshifts. Zbl 1470.37062
Gharaei, Masoumeh; Homburg, Ale Jan
3
2016
Near invariance and local transience for random diffeomorphisms. Zbl 1194.37084
Colonius, Fritz; Homburg, Ale Jan; Kliemann, Wolfgang
3
2010
Universal scalings in homoclinic doubling cascades. Zbl 0987.37043
Homburg, Ale Jan; Young, Todd
2
2001
Computing invariant sets. Zbl 1056.37094
Homburg, Ale Jan; de Vilder, Robin; Sands, Duncan
2
2003
Construction of codimension one homoclinic cycles. Zbl 1295.37011
Homburg, Ale Jan; Kellner, Maria; Knobloch, Jürgen
2
2014
Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection. Zbl 1125.37307
Khanh, Nguyen Huu; Homburg, Ale Jan
2
2005
Bellows bifurcating from degenerate homoclinic orbits in conservative systems. Zbl 1107.34328
Homburg, A. J.; Knobloch, J.
2
2005
Corrigendum: Switching homoclinic networks. Zbl 1210.37018
Homburg, Ale Jan; Knobloch, Jürgen
2
2010
Bifurcations of random differential equations with bounded noise on surfaces. Zbl 1230.37066
Homburg, Ale Jan; Young, Todd R.
2
2010
On-off intermittency and chaotic walks. Zbl 1445.37031
Homburg, Ale Jan; Rabodonandrianandraina, Vahatra
2
2020
Cascades of homoclinic doubling bifurcations. Zbl 1017.37024
Homburg, Ale Jan
1
2001
Inclination-flips in the unfolding of a singular heteroclinic cycle. Zbl 0959.37023
Homburg, Ale Jan
1
2000
Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows. Zbl 1160.37018
Homburg, Ale Jan; Jukes, Alice C.; Knobloch, Jürgen; Lamb, Jeroen S. W.
1
2008
Intermittency and Jakobson’s theorem near saddle-node bifurcations. Zbl 1126.37024
Homburg, Ale Jan; Young, Todd
1
2007
Critical intermittency in random interval maps. Zbl 1505.37065
Homburg, Ale Jan; Kalle, Charlene; Ruziboev, Marks; Verbitskiy, Evgeny; Zeegers, Benthen
5
2022
On-off intermittency and chaotic walks. Zbl 1445.37031
Homburg, Ale Jan; Rabodonandrianandraina, Vahatra
2
2020
Asymptotics for a class of iterated random cubic operators. Zbl 1501.37086
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
9
2019
Synchronization in minimal iterated function systems on compact manifolds. Zbl 1408.37038
Homburg, Ale Jan
8
2018
Iterated function systems of logistic maps: synchronization and intermittency. Zbl 1394.37067
Abbasi, Neda; Gharaei, Masoumeh; Homburg, Ale Jan
7
2018
Random interval diffeomorphisms. Zbl 1369.37051
Gharaei, Masoumeh; Homburg, Ale Jan
20
2017
Atomic disintegrations for partially hyperbolic diffeomorphisms. Zbl 1375.37069
Homburg, Ale Jan
4
2017
Skew products of interval maps over subshifts. Zbl 1470.37062
Gharaei, Masoumeh; Homburg, Ale Jan
3
2016
Robust minimality of iterated function systems with two generators. Zbl 1351.37081
Homburg, Ale Jan; Nassiri, Meysam
15
2014
Construction of codimension one homoclinic cycles. Zbl 1295.37011
Homburg, Ale Jan; Kellner, Maria; Knobloch, Jürgen
2
2014
Bifurcations of random differential equations with bounded noise. Zbl 1376.37099
Homburg, Ale Jan; Young, Todd R.; Gharaei, Masoumeh
3
2013
Circle diffeomorphisms forced by expanding circle maps. Zbl 1271.37034
Homburg, Ale Jan
7
2012
The Hopf bifurcation with bounded noise. Zbl 1291.37094
Botts, Ryan T.; Homburg, Ale Jan; Young, Todd R.
5
2012
Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Zbl 1268.37023
Golmakani, A.; Homburg, A. J.
12
2011
Bifurcation from codimension one relative homoclinic cycles. Zbl 1247.34075
Homburg, Ale Jan; Jukes, Alice C.; Knobloch, Jürgen; Lamb, Jeroen S. W.
5
2011
Homoclinic and heteroclinic bifurcations in vector fields. Zbl 1243.37024
Homburg, Ale Jan; Sandstede, Björn
95
2010
Switching homoclinic networks. Zbl 1204.37028
Homburg, Ale Jan; Knobloch, Jürgen
13
2010
\(C^{1}\) robustly minimal iterated function systems. Zbl 1183.37079
Ghane, F. H.; Homburg, A. J.; Sarizadeh, A.
8
2010
Near invariance and local transience for random diffeomorphisms. Zbl 1194.37084
Colonius, Fritz; Homburg, Ale Jan; Kliemann, Wolfgang
3
2010
Corrigendum: Switching homoclinic networks. Zbl 1210.37018
Homburg, Ale Jan; Knobloch, Jürgen
2
2010
Bifurcations of random differential equations with bounded noise on surfaces. Zbl 1230.37066
Homburg, Ale Jan; Young, Todd R.
2
2010
Essentially asymptotically stable homoclinic networks. Zbl 1185.37133
Driesse, R.; Homburg, A. J.
6
2009
Resonance bifurcation from homoclinic cycles. Zbl 1170.34031
Driesse, Ramon; Homburg, Ale Jan
4
2009
Dynamics and bifurcations of random circle diffeomorphism. Zbl 1153.37372
Zmarrou, Hicham; Homburg, Ale Jan
12
2008
Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows. Zbl 1160.37018
Homburg, Ale Jan; Jukes, Alice C.; Knobloch, Jürgen; Lamb, Jeroen S. W.
1
2008
Bifurcations of stationary measures of random diffeomorphisms. Zbl 1135.37021
Zmarrou, Hicham; Homburg, Ale Jan
21
2007
Intermittency and Jakobson’s theorem near saddle-node bifurcations. Zbl 1126.37024
Homburg, Ale Jan; Young, Todd
1
2007
Multiple homoclinic orbits in conservative and reversible systems. Zbl 1162.34034
Homburg, Ale Jan; Knobloch, Jürgen
17
2006
Hard bifurcations in dynamical systems with bounded random perturbations. Zbl 1164.34402
Homburg, A. J.; Young, T.
10
2006
Symmetric homoclinic tangles in reversible systems. Zbl 1132.37013
Homburg, Ale Jan; Lamb, Jeroen S. W.
4
2006
Accumulations of \(T\)-points in a model for solitary pulses in an excitable reaction-diffusion medium. Zbl 1068.35016
Homburg, Ale Jan; Natiello, Mario A.
4
2005
Resonant heteroclinic cycles and singular hyperbolic attractors in models for skewed varicose instability. Zbl 1080.34019
Khanh, Nguyen Huu; Homburg, Ale Jan
3
2005
Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection. Zbl 1125.37307
Khanh, Nguyen Huu; Homburg, Ale Jan
2
2005
Bellows bifurcating from degenerate homoclinic orbits in conservative systems. Zbl 1107.34328
Homburg, A. J.; Knobloch, J.
2
2005
Computing invariant sets. Zbl 1056.37094
Homburg, Ale Jan; de Vilder, Robin; Sands, Duncan
2
2003
Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria. Zbl 1017.37012
Homburg, Ale Jan
24
2002
Intermittency in families of unimodal maps. Zbl 1032.37020
Homburg, Ale Jan; Young, Todd
4
2002
Homoclinic-doubling cascades. Zbl 1073.37059
Homburg, Ale Jan; Kokubu, Hiroshi; Naudot, Vincent
21
2001
Universal scalings in homoclinic doubling cascades. Zbl 0987.37043
Homburg, Ale Jan; Young, Todd
2
2001
Cascades of homoclinic doubling bifurcations. Zbl 1017.37024
Homburg, Ale Jan
1
2001
Resonant homoclinic flip bifurcations. Zbl 0990.37038
Homburg, Ale Jan; Krauskopf, Bernd
51
2000
Singular heteroclinic cycles. Zbl 0954.34031
Homburg, Ale Jan
6
2000
Piecewise smooth interval maps with non-vanishing derivative. Zbl 0963.37032
Homburg, Ale Jan
4
2000
Inclination-flips in the unfolding of a singular heteroclinic cycle. Zbl 0959.37023
Homburg, Ale Jan
1
2000
A geometric criterion for positive topological entropy. II: Homoclinic tangencies. Zbl 0989.37007
Homburg, Ale Jan; Weiss, Howard
7
1999
Global aspects of homoclinic bifurcations of vector fields. Zbl 0862.34042
Homburg, Ale Jan
36
1996
On the computation of invariant manifolds of fixed points. Zbl 0827.58043
Homburg, A. J.; Osinga, H. M.; Vegter, G.
10
1995
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Zbl 0864.58044
Homburg, Ale Jan; Kokubu, Hiroshi; Krupa, Martin
32
1994
all top 5

Cited by 468 Authors

21 Homburg, Ale Jan
19 Zhu, Deming
16 Rodrigues, Alexandre A. P.
14 Krauskopf, Bernd
13 Osinga, Hinke Maria
12 Liu, Xingbo
10 Rodríguez-Luis, Alejandro J.
9 Algaba, Antonio
9 Jamilov, Uygun U.
9 Knobloch, Jürgen
9 Sandstede, Björn
8 Ibáñez, Santiago
8 Zhang, Tiansi
7 Barrientos, Pablo G.
7 Postlethwaite, Claire M.
7 Rasmussen, Martin
7 Xu, Yancong
6 Champneys, Alan R.
6 Gonchenko, Sergey V.
6 Lamb, Jeroen S. W.
6 Naudot, Vincent
5 Avrutin, Viktor
5 Carter, Paul M.
5 Geng, Fengjie
5 Giraldo, Andrus
5 Merino, Manuel
5 Turaev, Dmitry V.
4 Aguiar, Manuela A. D.
4 Barrio, Roberto
4 Chung, Kwok-Wai
4 Colonius, Fritz
4 Demers, Mark F.
4 Drubi, Fátima
4 Fakhari, Abbas
4 Galatolo, Stefano
4 Kalle, Charlene
4 Leonov, Gennadiĭ Alekseevich
4 Lu, Qiuying
4 Morales Rojas, Carlos Arnoldo
4 Qin, Bo-Wei
4 Rodríguez, José Angel
4 Sarizadeh, Aliasghar
4 Sushko, Iryna
4 Wechselberger, Martin
4 Zeegers, Benthen
3 Aguirre, Pablo
3 Ashwin, Peter
3 Bjerklöv, Kristian
3 Castro, Luísa
3 Dias, Ana Paula S.
3 d’Onofrio, Alberto
3 Fernández-Sánchez, Fernando
3 Gardini, Laura
3 Gelfert, Katrin Grit
3 Jelbart, Samuel
3 Kazakov, Alexey O.
3 Kokubu, Hiroshi
3 Kühn, Christian
3 Labouriau, Isabel S.
3 Meijer, Hil G. E.
3 Oldeman, Bart E.
3 Pötzsche, Christian
3 Raibekas, Artem
3 Rodrigues, Christian S.
3 Rucklidge, Alastair M.
3 Scheel, Arnd
3 Shilnikov, Andrey L.
3 Webster, Kevin N.
3 Yang, Xiaosong
3 Young, Todd R.
3 Zaj, Marzie
3 Zhang, Weipeng
2 Afraimovich, Valentin S.
2 Andres, Jan
2 Bahabadi, Alireza Zamani
2 Bonckaert, Patrick
2 Chang, Chueh-Hsin
2 Chekroun, Mickaël D.
2 Chen, Chiun-Chuan
2 Cornwell, Paul
2 Czudek, Klaudiusz
2 Dawes, Jonathan H. P.
2 de Franciscis, Sebastiano
2 de Rijk, Björn
2 Deng, Guifeng
2 Díaz, Lorenzo Justiniano
2 Doedel, Eusebius J.
2 Engel, Maximilian
2 Field, Michael J.
2 Ghane, Fatemeh Helen
2 Gharaei, Masoumeh
2 Ghil, Michael
2 Granados, Albert
2 Holzer, Matt
2 Jones, Christopher K. R. T.
2 Kirk, Vivien
2 Knobloch, Edgar
2 Kowalski, Zbigniew S.
2 Kurganov, K. A.
2 Lerman, Lev
...and 368 more Authors
all top 5

Cited in 96 Serials

28 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
25 Physica D
22 Nonlinearity
19 Journal of Differential Equations
18 Dynamical Systems
17 Chaos
17 SIAM Journal on Applied Dynamical Systems
16 Journal of Dynamics and Differential Equations
13 Discrete and Continuous Dynamical Systems
12 Nonlinear Dynamics
8 Ergodic Theory and Dynamical Systems
8 Journal of Nonlinear Science
7 Communications in Nonlinear Science and Numerical Simulation
6 Transactions of the American Mathematical Society
6 Journal of Difference Equations and Applications
6 Regular and Chaotic Dynamics
6 Qualitative Theory of Dynamical Systems
5 Journal of Mathematical Analysis and Applications
5 Discrete and Continuous Dynamical Systems. Series B
5 Stochastics and Dynamics
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 Chinese Annals of Mathematics. Series B
4 Acta Mathematica Sinica. English Series
4 Journal of Computational Dynamics
3 Communications in Mathematical Physics
3 Journal of Statistical Physics
3 SIAM Journal on Mathematical Analysis
3 Abstract and Applied Analysis
3 Lobachevskii Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
2 Physics Letters. A
2 Bulletin of the London Mathematical Society
2 Memoirs of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Applicationes Mathematicae
2 Differential Equations and Dynamical Systems
2 Discrete Dynamics in Nature and Society
2 The Journal of Mathematical Neuroscience
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Physica A
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Fundamenta Mathematicae
1 Journal of Computational and Applied Mathematics
1 Mathematics of Operations Research
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Statistics & Probability Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Economic Dynamics & Control
1 Applied Mathematics Letters
1 Science in China. Series A
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Celestial Mechanics and Dynamical Astronomy
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Georgian Mathematical Journal
1 Journal of Convex Analysis
1 Doklady Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Dynamical Systems and Geometric Theories
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Biological Dynamics
1 Journal of Modern Dynamics
1 Journal of Theoretical Biology
1 Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Nonlinear Dynamics

Citations by Year