PUBLICATIONS
AND
PREPRINTS
A.J. Homburg
Robustly minimal iterated function systems on compact manifolds generated by two
diffeomorphisms
A.J. Homburg
Atomic disintegrations for partially hyperbolic diffeomorphisms
A.J. Homburg
Circle diffeomorphisms forced by expanding circle maps
To appear in
Ergodic Theory Dynam. Systems
R.T. Botts, A.J. Homburg, T.R. Young
The Hopf bifurcation with bounded noise
Discrete Contin. Dyn. Syst.
32 (2012),
2997-3007
A.J. Homburg, A.C. Jukes,
J. Knobloch,
J.S.W. Lamb
Bifurcation from codimension one relative homoclinic cycles
Transactions
Amer. Math. Soc. 363 (2011),
5663-5701
A. Golmakani, A.J. Homburg
Lorenz
attractors in unfoldings of homoclinic flip bifurcations
Dynamical Systems 26 (2011),
61-76
A.J. Homburg, B. Sandstede
Homoclinic and heteroclinic bifurcations in vector fields
Handbook of Dynamical Systems, vol. 3, 379-524
North-Holland, Amsterdam, 2010
A.J. Homburg, J. Knobloch
Switching homoclinic networks
Dynamical Systems 25 (2010),
351-358
Corrigendum: switching homoclinic networks
Dynamical Systems 25 (2010),
443
A.J. Homburg, T.
Young
Bifurcations
for random differential equations with bounded noise on surfaces
Topol. Methods Nonlinear Anal. 35 (2010),
77-98
F. Colonius, A.J. Homburg, W. Kliemann
Near invariance and local transience for random diffeomorphisms
J. Difference Equ. Appl. 16 (2010),
127-141
F.H. Ghane, A.J. Homburg, A. Sarizadeh
C^1 robustly minimal iterated function systems
Stoch. Dyn.
10 (2010),
155-160
A.J. Homburg, B. Mramor
Robust unbounded attractors for differential equations in R^3
Phys. D
239 (2010),
202-206
R. Driesse, A.J. Homburg
Essentially
asymptotically stable homoclinic networks
Dynamical Systems
24 (2009),
459-471
R. Driesse, A.J. Homburg
Resonance
bifurcation from homoclinic cycles
Journ. Diff. Eq. 246 (2009),
2681-2705
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
Bull. Belg. Math. Soc.
Simon Stevin 15 (2008),
833-850
H.
Zmarrou, A.J. Homburg,
Dynamics
and bifurcations of random circle diffeomorphisms
Discrete Contin. Dyn.
Syst. Ser. B 10 (2008),
719-731
A.J.
Homburg, T. Young
Hard bifurcations in dynamical systems
with bounded random perturbations
Regul.
Chaotic Dyn. 11 (2006),
247-258
A.J.
Homburg, J.
Knobloch
Multiple
homoclinic orbits in conservative
and reversible systems
Transactions
Amer. Math. Soc. 358 (2006), 1715-1740
M.A.
Efendiev, A.J.
Homburg, W.L.
Wendland
The
Borsuk-Ulam theorem for quasi-ruled Fredholm maps
Fixed Point Theory 7 (2006), 43-63
Nguyen
H.K., A.J. Homburg
Global
bifurcations to strange attractors in a model for skewed varicose
instability in thermal convection
Phys. D 211 (2005), 235-262
A.J.
Homburg, M.A.
Natiello
Accumulations
of T-points in a model for solitary pulses in an excitable
reaction-diffusion medium
Phys.
D 201 (2005), 212-229
Nguyen
H.K., A.J. Homburg
Resonant
heteroclinic cycles and singular hyperbolic attractors in models for
skewed
varicose instability
Nonlinearity 18
(2005), 155-173
A.J.
Homburg, D.
Sands , R. de Vilder
Computing invariant sets
Int.
Journal of Bif. and Chaos 13
(2003), 497-504
A.J.
Homburg
Periodic attractors, strange attractors and hyperbolic dynamics near
homoclinic orbits to saddle-focus equilibria
Nonlinearity 15 (2002), 1029-1050
A.J.
Homburg, T.
Young
Intermittency in families of unimodal maps
Ergod.
Th. and Dynam. Sys. 22
(2002), 203-225
A.J.
Homburg, H. Kokubu, V.
Naudot
Homoclinic-doubling cascades
Arch.
Rational Mech. Analysis 160
(2001), 195-243
A.J.
Homburg, T.
Young
Universal scalings in homoclinic doubling cascades
Commun.
Math. Phys. 222
(2001), 269-292
A.J.
Homburg, B.
Krauskopf
Resonant homoclinic flip bifurcations
J.
Dynam. Differential Equations 12
(2000), 807-850
A.J.
Homburg
Piecewise smooth interval maps with nonvanishing derivative
Ergod.
Th. and Dynam. Sys. 20
(2000), 749-774
A.J.
Homburg
Singular heteroclinic cycles
Journ.
Diff. Eq. 161
(2000), 358-402
A.J.
Homburg, H.
Weiss
A Geometric Criterion for Positive Topological Entropy II: Homoclinic
Tangencies
Commun.
Math. Phys. 208
(1999), 267-273
A.J.
Homburg
Heteroclinic bifurcations of Omega-stable vector fields on 3-manifolds
Discrete Contin. Dyn. Syst. 4
(1998), 559-580
A.J.
Homburg
Global aspects of homoclinic bifurcations of vector fields
Memoirs
of the A.M.S. 578
(1996)
A.J.
Homburg. H.M.Osinga, G.
Vegter
On the computation of invariant manifolds of fixed points
Z.
angew. Math. Phys. 46
(1995), 171-187
A.J.
Homburg, H. Kokubu, M.
Krupa
The
cusp
horseshoe and its bifurcations in the unfolding of an inclination-flip
homoclinic orbit
Ergod.
Th. and Dynam. Sys. 14
(1994), 667-693
PROCEEDINGS
A.J.
Homburg
Lorenz maps with folds in thermal convection models
in: ENOC-2005,
Proceedings of the fifth EUROMECH Nonlinear Dynamics Conference,
Eindhoven (2005)
A.J.
Homburg, J.
Knobloch
Bellows bifurcating from degenerate homoclinic orbits in conservative
systems
in: EQUADIFF
2003, Proceedings of the International
Conference on Differential Equations, eds. F. Dumortier, H. Broer, J.
Mawhin, A. Vanderbauwhede, S. Verduyn Lunel, World Scientific (2005)
A.J.
Homburg
Intermittency
in one-dimensional dynamics
in:
Abstracts of
International conference on New Directions in
Dynamical Systems, Kyoto (2002)
A.J.
Homburg
Cascades of homoclinic doubling bifurcations
in:
Ergodic Theory,
Analysis, and Efficient Simulation of Dynamical
Systems, ed. B. Fiedler, Springer Verlag (2001)
A.J.
Homburg, T.
Young
Birkhoff averages and bifurcations
in:
Global Analysis of
Dynamical Systems, Festschrift dedicated to
Floris Takens on the occasion of his 60th birthday, eds. H.W. Broer, B.
Krauskopf, G. Vegter, Institute of Physics Publishing (2001)
A.J.
Homburg
Infinite modal maps and homoclinic bifurcations
in:
Equadiff 99,
International Conference on Differential Equations
Berlin 1999, eds. B. Fiedler, K. Gröger, J. Sprekels, World
Scientific (2000)
A.J.
Homburg
Inclination flips in the unfolding of a singular heteroclinic cycle
in:
Numerical Methods
for Bifurcation Problems and Large-Scale
Dynamical Systems, IMA Volumes in Mathematics and its Applications,
Vol. 119, Springer-Verlag (2000)
A.J.
Homburg
Homoclinic intermittency
Fields
Institute Communications 4
(1995), 191-200
|
©
2005 Homburg web
design.
All rights reserved. |
