Prof. dr. A.J. (Ale Jan) Homburg
Faculty of Science
KDV
Visiting address
- Science Park 107
- Room number: F3.02
Postal address
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Postbus 94248
1090 GE Amsterdam
Contact details
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Publications
2022
Homburg, A. J., Kalle, C., Ruziboev, M., Verbitskiy, E., & Zeegers, B. (2022). Critical Intermittency in Random Interval Maps. Communications in Mathematical Physics, 394(1), 1-37. https://doi.org/10.1007/s00220-022-04396-9 [details]
2020
- Homburg, A. J., & Rabodonandrianandraina, V. (2020). On-off intermittency and chaotic walks. Ergodic theory and dynamical systems, 40(7), 1805-1842. https://doi.org/10.1017/etds.2018.142 [details]
2019
- Homburg, A. J., Jamilov, U. U., & Scheutzow, M. (2019). Asymptotics for a class of iterated random cubic operators. Nonlinearity, 32(10), 3646-3660. https://doi.org/10.1088/1361-6544/ab1f24 [details]
2018
- Abbasi, N., Gharaei, M., & Homburg, A. J. (2018). Iterated function systems of logistic maps: Synchronization and intermittency. Nonlinearity, 31(8), 3880-3913. https://doi.org/10.1088/1361-6544/aac637 [details]
- Homburg, A. J. (2018). Synchronization in Minimal Iterated Function Systems on Compact Manifolds. Bulletin of the Brazilian Mathematical Society, 49(3), 615-635. https://doi.org/10.1007/s00574-018-0073-0 [details]
2017
- Gharaei, M., & Homburg, A. J. (2017). Random interval diffeomorphisms. Discrete and Continuous Dynamical Systems - Series S, 10(2), 241-272. https://doi.org/10.3934/dcdss.2017012 [details]
- Homburg, A. J. (2017). Atomic disintegrations for partially hyperbolic diffeomorphisms. Proceedings of the American Mathematical Society, 145(7), 2981-2996. https://doi.org/10.1090/proc/13509 [details]
2016
- Gharaei, M., & Homburg, A. J. (2016). Skew products of interval maps over subshifts. Journal of Difference Equations and Applications, 22(7), 941-958. https://doi.org/10.1080/10236198.2016.1164146 [details]
2014
- Homburg, A. J., & Nassiri, M. (2014). Robust minimality of iterated function systems with two generators. Ergodic theory and dynamical systems, 34(6), 1914-1929. https://doi.org/10.1017/etds.2013.34 [details]
- Homburg, A. J., Kellner, M., & Knobloch, J. (2014). Construction of codimension one homoclinic cycles. Dynamical Systems, 29(1), 133-151. https://doi.org/10.1080/14689367.2013.860085 [details]
2013
- Homburg, A. J., Young, T. R., & Gharaei, M. (2013). Bifurcations of random differential equations with bounded noise. In A. d'Onofrio (Ed.), Bounded noises in physics, biology, and engineering (pp. 133-149). (Modeling and Simulation in Science, Engineering and Technology; Vol. 60). Birkhäuser. https://doi.org/10.1007/978-1-4614-7385-5_9 [details]
2012
- Botts, R. T., Homburg, A. J., & Young, T. R. (2012). The Hopf bifurcation with bounded noise. Discrete and Continuous Dynamical Systems (DCDS) - Series A, 32(8), 2997-3007. https://doi.org/10.3934/dcds.2012.32.2997 [details]
- Homburg, A. J. (2012). Circle diffeomorphisms forced by expanding circle maps. Ergodic theory and dynamical systems, 32(6), 2011-2024. https://doi.org/10.1017/S014338571100068X [details]
2011
- Golmakani, A., & Homburg, A. J. (2011). Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Dynamical Systems, 26(1), 61-76. https://doi.org/10.1080/14689367.2010.503186 [details]
- Hanßmann, H., Homburg, A. J., & van Strien, S. (2011). Foreword. Regular and Chaotic Dynamics, 16(1), 1. https://doi.org/10.1134/S1560354711010011
- Homburg, A. J., Jukes, A. C., Knobloch, J., & Lamb, J. S. W. (2011). Bifurcation from codimension one relative homoclinic cycles. Transactions of the Americal Mathematical Society, 363, 5663-5701. https://doi.org/10.1090/S0002-9947-2011-05193-7 [details]
2010
- Colonius, F., Homburg, A. J., & Kliemann, W. (2010). Near invariance and local transience for random diffeomorphisms. Journal of Difference Equations and Applications, 16(2-3), 127-141. https://doi.org/10.1080/10236190802653646 [details]
- Ghane, F. H., Homburg, A. J., & Sarizadeh, S. (2010). C^1 robustly minimal iterated function systems. Stochastics and Dynamics, 10(1), 155-160. https://doi.org/10.1142/S0219493710002899 [details]
- Homburg, A. J., & Knobloch, J. (2010). Switching homoclinic networks. Dynamical Systems, 25(3), 351-358. https://doi.org/10.1080/14689361003769770 [details]
- Homburg, A. J., & Mramor, B. (2010). Robust unbounded attractors for differential equations in R^3. Physica D, 239(3-4), 202-206. https://doi.org/10.1016/j.physd.2009.10.018 [details]
- Homburg, A. J., & Sandstede, B. (2010). Homoclinic and heteroclinic bifurcations in vector fields. In H. Broer, F. Takens, & B. Hasselblatt (Eds.), Handbook of dynamical systems (Vol. 3, pp. 379-524). North-Holland. https://doi.org/10.1016/S1874-575X(10)00316-4 [details]
- Homburg, A. J., & Young, T. R. (2010). Bifurcations of random differential equations with bounded noise on surfaces. Topological Methods in Nonlinear Analysis, 35(1), 77-97. https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-35/issue-1/Bifurcations-of-random-differential-equations-with-bounded-noise-on-surfaces/tmna/1461249003.full [details]
2009
- Driesse, R., & Homburg, A. J. (2009). Essentially asymptotically stable homoclinic networks. Dynamical Systems, 24(4), 459-471. https://doi.org/10.1080/14689360903039664 [details]
- Driesse, R., & Homburg, A. J. (2009). Resonance bifurcation from homoclinic cycles. Journal of Differential Equations, 246(7), 2681-2705. https://doi.org/10.1016/j.jde.2009.01.034 [details]
2008
- Homburg, A. J., Jukes, A. C., Knobloch, J., & Lamb, J. S. W. (2008). Saddle-nodes and period-doublings of Smale horseshoes: A case study near resonant homoclinic bellows. Bulletin of the Belgian Mathematical Society - Simon Stevin, 15(5), 833-850. http://projecteuclid.org/euclid.bbms/1228486411 [details]
- Zmarrou, H., & Homburg, A. J. (2008). Dynamics and bifurcations of random circle diffeomorphisms. Discrete and Continuous Dynamical Systems - Series B, 10(2&3), 719-731. http://aimsciences.org/journals/doIpChk.jsp?paperID=3446&mode=full [details]
2010
- Homburg, A. J., & Knobloch, J. (2010). Erratum: Switching homoclinic networks: (Dynamical Systems (351-358) DOI: 10.1080/14689361003769770). Dynamical Systems, 25(3), 443. https://doi.org/10.1080/14689367.2010.499294
2017
- Visser, A., De Jong, R., Beks, W., Schlobach, S., van Rooij, R., Homburg, A.-J., van Someren, M., van Maanen, L., & Sluijter, B. (2017). Naar een nieuw curriculum voor de bachelor Kunstmatige Intelligentie. (1.9.1 ed.) UvA. https://staff.fnwi.uva.nl/a.visser/activities/CurriculumCommissieRapport9maart.pdf [details]
Journal editor
- Homburg, A. J. (editor in chief) (2016-2018). Dynamical Systems (Journal). http://www.tandfonline.com/action/journalInformation?show=editorialBoard&journalCode=cdss20#.VH3eu8loAgo
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Ancillary activities
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Universiteit Leiden
Hoogleraar
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Universiteit Leiden
Homburg, A. J., Kalle, C., Ruziboev, M., Verbitskiy, E., & Zeegers, B. (2022). Critical Intermittency in Random Interval Maps. Communications in Mathematical Physics, 394(1), 1-37.