title: A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid.
abstract: Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale-Williams solenoid in stroboscopic Poincaré 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.
authors.affiliation: Kotel'nikov's Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation.
authors.forename: Olga B
authors.initials: OB
authors.lastname: Isaeva
authors.forename: Sergey P
authors.initials: SP
authors.lastname: Kuznetsov
authors.forename: Igor R
authors.initials: IR
authors.lastname: Sataev