Identification of the dynamic characteristics of nonlinear structures


“A Periodically Forced Piecewise Linear Oscillator”



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Dynamic characteristics of non-linear system.

“A Periodically Forced Piecewise Linear Oscillator”
Journal of Sound and Vibration 
1983
 M.
“A two dimensional mapping with a strange attractor”
Comm. 
Math. Phys. 50, 1976
Mandelbrot, B. B.
 Form, Chance and Dimension”
San 
Francisco, CA, Freeman, 1977
Matsumoto, T.
“A Chaotic Attractor from 
 Circuit”
IEEE Transactions on Circuit and System 
1984
Takens, F.
“Detecting Strange Attractors in Turbulence”, 
in Dynamical
Systems and Turbulence, D. A. Rand and L.-S. Young (eds.),
1980, pp. 366-38 1. Springer Lecture Notes in Mathematics,
Vol. 898, Springer-Verlag.
Epstain, I. R.
“Oscillations and chaos in 
 systems”
7-D, 1983
 R. V.
“On 
the Transition 
from 
Regular to Chaotic 
in the 
 Equation”
Journal of Sound and Vibration 
1988
Pezeshki, C. and 
 E. H.
“An Examination of Initial Condition Maps for the Sinusoidally Excited
Buckled Beam 
 by the 
 Equation”
Journal of Sound and Vibration 
1987


References
275
Dowel], E. H. and Pezeshki, C.
“On the Necessary and 
 Condition for Chaos to Occur in
 Equation: An Heuristic Approach”
Journal of Sound and Vibration 
1988
Tongue, B. H.
“On the Existence of Chaos in One-degree-of-freedom System”
Journal of Sound and Vibration 
1986

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