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S9 Fenômenos Não-Lineares e Caóticos em Engenharia |
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Title:
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CHAOS IN A TWO-DEGREE OF FREEDOM DUFFING OSCILLATOR
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Summary :
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HIGH DIMENSIONAL DYNAMICAL SYSTEMS HAVE INTRICATE BEHAVIOR EITHER ON TEMPORAL OR ON SPATIAL EVOLUTION PROPERTIES. NEVERTHELESS, MOST OF THE WORK ON CHAOTIC DYNAMICS HAS BEEN CONCENTRATED ON TEMPORAL BEHAVIOR OF LOW-DIMENSIONAL SYSTEMS. THIS CONTRIBUTION REPORTS ON THE CHAOTIC RESPONSE OF A TWO-DEGREE OF FREEDOM DUFFING OSCILLATOR. SINCE THE EQUATIONS OF MOTION ARE ASSOCIATED WITH A FOUR-DIMENSIONAL SYSTEM, THE ANALYSIS IS PERFORMED BY CONSIDERING TWO DUFFING OSCILLATORS, BOTH WITH SINGLE-DEGREE OF FREEDOM, CONNECTED BY A SPRING-DASHPOT SYSTEM. WITH THIS CONFIGURATION, IT IS POSSIBLE TO ANALYZE THE TRANSMISSIBILITY OF MOTION BETWEEN THE TWO OSCILLATORS.
KEYWORDS: CHAOS, SPATIOTEMPORAL CHAOS, NON-LINEAR DYNAMICS, DUFFING OSCILLATOR. |
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Author :
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Pacheco, Pedro Manuel C.L.
Savi, Marcelo A.
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Paper View :
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