activity
20032009
most citedHow chaotic are strange nonchaotic attractors

39 citations · 46 across the 7 of their papers we have counts for

collaborators

7 papers

q-bio.NC2009

Neuronal Coding of pacemaker neurons - A random dynamical systems approach

T. Jaeger

The behaviour of neurons under the influence of periodic external input has been modelled very successfully by circle maps. The aim of this note is to extend certain aspects of thi…

math.DS2006★ 2 cited

Rotation numbers for quasiperiodically forced circle maps - Mode-locking vs strict monotonicity

Kristian Bjerkloev, Tobias Jaeger

We describe the relation between the dynamical properties of a quasiperiodically forced orientation-preserving circle homeomorphism and the behavior of the fibered rotation number…

math.DS2006★ 39 cited

How chaotic are strange nonchaotic attractors

Paul Glendinning, Tobias Jaeger, Gerhard Keller

We show that the classic example of quasiperiodically forced maps with strange nonchaotic attractors described by Grebogi et al and Herman in the mid-1980s have some chaotic proper…

math.DS2006★ 3 cited

The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations

Tobias Jaeger

We propose a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanis…

math.DS2004★ 1 cited

On the structure of strange non-chaotic attractors in pinched skew products

Tobias H. Jaeger

The existence of non-continuous invariant graphs (or strange non-chaotic attractors) in quasiperiodically forced systems has generated great interest, but there are still very few…

math.DS2003★ 1 cited

The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms

Tobias H. Jaeger, Gerhard Keller

We carry the argument used in the proof of the Theorem of Denjoy over to the quasiperiodically forced case. Thus we derive that if a system of quasiperiodically forced circle diffe…