The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations
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Bibliographic Information
The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations
（Memoirs of the American Mathematical Society, no. 945）
American Mathematical Society, 2009
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"Volume 201, number 945 (fourth of 5 numbers)."
Includes bibliographical references (p. 105-106) and index
Description and Table of Contents
Description
The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls 'exponential evolution of peaks'.
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