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Invisible grazings and dangerous bifurcations in impacting systems: The problem of narrow-band chaos

Abstract:

We discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillator. The phenomenon was observed experimentally for a range of system parameters. Through numerical stability analysis, we argue that this abrupt onset to chaos is caused by a dangerous bifurcation in which two unstable period-3 orbits, created at "invisible" grazings, take part. © 2009 The American Physical Society.

Año de publicación:

2009

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Article

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Sistema no lineal
    • Sistema no lineal
    • Sistema no lineal

    Áreas temáticas:

    • Ciencias de la computación
    • Experiencia, práctica y vida cristianas
    • Probabilidades y matemática aplicada

    Contribuidores:

    Pavlovskaia E.E.Pavlovskaia E.E.
    Marian WiercigrochMarian Wiercigroch
    Reddy R.K.Reddy R.K.
    Ing J.Ing J.
    Banerjee S.Banerjee S.