TY  - INPR
A1  - Pikovskij, Arkadij
A1  - Feudel, Ulrike
T1  - Characterizing strange nonchaotic attractors
N2  - Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation analysis of the systems, resulting from periodic approximations of the quasiperiodic forcing. Secondly, we propose th characterize their strangeness by calculating a phase sensitivity exponent, that measures the sensitivity with respect to changes of the phase of the external force. It is shown, that phase sensitivity appears if there is a non-zero probability for positive local Lyapunov exponents to occur.
T3  - NLD Preprints - 2 
Y1  - 1994
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-13405
ER  - 
TY  - JOUR
A1  - Stark, J.
A1  - Feudel, Ulrike
A1  - Glendinning, P. A.
A1  - Pikovskij, Arkadij
T1  - Rotation numbers for quasi-periodically forced monotone circle maps
Y1  - 2002
SN  - 1468-9367
ER  - 
TY  - JOUR
A1  - Glendinning, P. A.
A1  - Feudel, Ulrike
A1  - Pikovskij, Arkadij
A1  - Stark, J.
T1  - The structure of mode-locking regions in quasi-periodically forced circle maps
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Kuznetsov, Sergey P.
A1  - Feudel, Ulrike
A1  - Pikovskij, Arkadij
T1  - Renormalization group for scaling at the torus-doubling terminal point
N2  - The quasiperiodically forced logistic map is analyzed at the terminal point of the torus-doubling bifurcation curve, where the dynamical regimes of torus, doubled torus, strange nonchaotic attractor, and chaos meet. Using the renormalization group approach we reveal scaling properties both for the critical attractor and for the parameter plane topography near the critical point.
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Feudel, Ulrike
T1  - Comment on "Strange nonchaotic attractors in autonomous and periodically driven systems"
N2  - The problem of the existence of strange nonchaotic attractors (SNA's) in autonomous systems is discussed. It is demonstrated that the recently reported example of a SNA in an autonomous system [V. S. Anishchenko et al., Phys. Rev. E 54, 3231 (1996)] is in fact a chaotic attractor with positive largest Lyapunov exponent.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Witt, Annette
A1  - Feudel, Ulrike
A1  - Pikovskij, Arkadij
T1  - Birth of strange nonchaotic attractors due to interior crisis
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Kuznetsov, Sergey P.
A1  - Pikovskij, Arkadij
A1  - Bezrucko, B. P.
A1  - Seleznev, E. P.
A1  - Feudel, Ulrike
T1  - O dinamike nelinejnych sistem po vne¬nim kvaziperiodi§eskim vozdejstviem vblizi to§ki okon§anija linii bifurkatcii udvoenija tora
Y1  - 1997
ER  -