@article{IsaevaKuznetsovSataev2012, author = {Isaeva, Olga B. and Kuznetsov, Sergey P. and Sataev, Igor R.}, title = {A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid}, series = {Chaos : an interdisciplinary journal of nonlinear science}, volume = {22}, journal = {Chaos : an interdisciplinary journal of nonlinear science}, number = {4}, publisher = {American Institute of Physics}, address = {Melville}, issn = {1054-1500}, doi = {10.1063/1.4766590}, pages = {7}, year = {2012}, abstract = {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.}, language = {en} }