Breaking and disappearance of tori |
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| Authors: | Valter Franceschini Claudio Tebaldi |
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| Institution: | (1) Istituto di Matematica, Universitá di Modena, via Campi 213B, I-41100 Modena, Italy;(2) Dipartimento di Matematica, Universitá di Bologna, via Vallescura 2, I-40136 Bologna, Italy |
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| Abstract: | 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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