Breaking and disappearance of tori (Q1060635)

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scientific article; zbMATH DE number 3908025
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Breaking and disappearance of tori
scientific article; zbMATH DE number 3908025

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    Breaking and disappearance of tori (English)
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    1984
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    A mechanism is illustrated which can cause a torus to disappear in dissipative differential equations. Three different examples give evidence that a collision with a neighbouring unstable periodic orbit, possibly preceded by a transition into a weakly chaotic attractor, causes the sudden destruction of a torus.
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    breaking of tori
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    12-mode truncation
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    Poincaré map
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    bifurcation cascade
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    dissipative differential equations
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    unstable periodic orbit
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    chaotic attractor
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