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Chaotic behavior of a parametrically excited nonlinear mechanical system (1994)

Malasoma, J.-M. ; Lamarque, C.-H. ; Jezequel, L.

Springer

Nonlinear dynamics 5 (1994), S. 153-160

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ISSN: 1573-269X

Keywords: Bifurcation to chaos ; intermittencies ; Hopf bifurcation

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The chaotic dynamics of a single-degree-of-freedom nonlinear mechanical system under periodic parametric excitation is investigated. Besides the well known type-I and type-III intermittent transitions to chaos we give numerical evidence that the system can follow an alternative route to chaos via intermittency from an equilibrium state to a chaotic one, which was not found in the previous simulations of the dynamics of the system.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00045673

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