Persistent properties of crises in a Duffing oscillator

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Abstract
Crises in a two-well forced oscillator of Duffing type are studied with an analog simulation. Its features are discussed with the aid of return maps and phase portraits. Two types of boundary crisis in a strange attractor following the Feigenbaum route to chaos are found. One is associated with a hopping between two strange attractors and is confirmed with the presence of 1/f noise spectrum. The other is associated with a hysteresis jump. A borderline of differentiating these two characters is also indicated.

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