TY  - JOUR
A1  - Isaeva, Olga B.
A1  - Kuznetsov, Sergey P.
A1  - Sataev, Igor R.
T1  - A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale-Williams solenoid in stroboscopic Poincare map of two alternately excited non-autonomous van der Pol oscillators. The transition occupies a narrow but finite parameter interval and progresses in such way that periodic orbits constituting a "skeleton" of the attractor undergo saddle-node bifurcation events involving partner orbits from the attractor and from a non-attracting invariant set, which forms together with its stable manifold a basin boundary of the attractor.
Y1  - 2012
U6  - https://doi.org/10.1063/1.4766590
SN  - 1054-1500
VL  - 22
IS  - 4
PB  - American Institute of Physics
CY  - Melville
ER  -