Ale Jan Homburg

Preprints

2024

A.J. Homburg, H. Peters, V. Rabodonandrianandraina. Critical intermittency in rational maps. Nonlinearity. 37. [doi]

2022

A.J. Homburg, C. Kalle, M. Ruziboev, E. Verbitskiy, B. Zeegers. Critical intermittency in random interval maps. Commun. Math. Phys. 394, 1-37. [doi]

2020

A.J. Homburg, V.F. Rabodonandrianandraina. On-off intermittency and chaotic walks. Ergodic theory and dynamical systems. 40, 1805-1842. [doi]

2019

A.J. Homburg, U.U. Jamilov, M. Scheutzow. Asymptotics for a class of iterated random cubic operators. Nonlinearity 32, 3646-3660. [doi]

2018

2017

A.J. Homburg. Atomic disintegrations for partially hyperbolic diffeomorphisms. Proceedings Amer. Math. Soc. 145, 2981-2996. [doi]
M. Gharaei, A.J. Homburg. Random interval diffeomorphisms. Discrete Contin. Dyn. Syst. Ser. S 10, 241-272. [doi]

2016

M. Gharaei, A.J. Homburg. Skew products of interval maps over subshifts. J. Difference Equ. Appl. 22, 941-958. [doi]

2014

A.J. Homburg, M. Kellner, J. Knobloch. Construction of codimension one homoclinic cycles. Dynamical Systems 29, 133-151. [doi]
A.J. Homburg, M. Nassiri. Robust minimality of iterated function systems with two generators. Ergodic theory and dynamical systems 34, 1914-1929. [doi]

2013

A.J. Homburg, T.R. Young, M. Gharaei. Bifurcations of random differential equations with bounded noise. In "Bounded Stochastic Processes in Physics, Biology and Engineering", Birkhäuser. [doi]

2012

A.J. Homburg. Circle diffeomorphisms forced by expanding circle maps. Ergodic theory and dynamical systems 32(6), 2011-2024. [doi]
R.T. Botts, A.J. Homburg & T.R. Young. The Hopf bifurcation with bounded noise. Discrete and Continuous Dynamical Systems (DCDS) - Series A, 32(8), 2997-3007. [doi]

2011

A. Golmakani & A.J. Homburg. Lorenz attractors in unfoldings of homoclinic-flip bifurcations. Dynamical Systems, 26(1), 61-76. [doi]
A.J. Homburg, A.C. Jukes, J. Knobloch & J.S.W. Lamb. Bifurcation from codimension one relative homoclinic cycles. Transactions of the Americal Mathematical Society, 363, 5663-5701. [doi]

2010

F.H. Ghane, A.J. Homburg & S. Sarizadeh. C^1 robustly minimal iterated function systems. Stochastics and Dynamics, 10(1), 155-160. [doi]
F. Colonius, A.J. Homburg & W. Kliemann. Near invariance and local transience for random diffeomorphisms. Journal of Difference Equations and Applications, 16(2-3), 127-141. [doi]
A.J. Homburg & B. Mramor. Robust unbounded attractors for differential equations in R^3. Physica D, 239(3-4), 202-206. [doi]
A.J. Homburg & B. Sandstede. Homoclinic and heteroclinic bifurcations in vector fields. In H. Broer, F. Takens & B. Hasselblatt (Eds.), Handbook of dynamical systems: volume 3 (pp. 379-524). Amsterdam: North-Holland. [doi]
A.J. Homburg & T.R. Young. Bifurcations of random differential equations with bounded noise on surfaces. Topological Methods in Nonlinear Analysis, 35(1), 77-98. [doi]
A.J. Homburg & J. Knobloch. Switching homoclinic networks. Dynamical Systems, 25(3), 351-358. [doi]

2009

R. Driesse & A.J. Homburg. Essentially asymptotically stable homoclinic networks. Dynamical Systems, 24(4), 459-471. [doi]
R. Driesse & A.J. Homburg. Resonance bifurcation from homoclinic cycles. Journal of Differential Equations, 246(7), 2681-2705. [doi]

2008

A.J. Homburg, A.C. Jukes, J. Knobloch & J.S.W. Lamb. 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. [doi]
H. Zmarrou & A.J. Homburg. Dynamics and bifurcations of random circle diffeomorphisms. Discrete and Continuous Dynamical Systems - Series B, 10(2&3), 719-731. [doi]

Editorships