TY - GEN
T1 - THEORETICAL and NUMERICAL VALIDATION of the STOCHASTIC INTERROGATION EXPERIMENTAL METHOD
AU - Kimble, Bart W.
AU - Cusumano, Joseph P.
N1 - Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - Stochastic interrogation is an experimental method that uses transient trajectories starting at numcrou.s pseudo-random initial conditions to obtain detailed information about the flow of a dynamical system in phase space. From this flow information, various global dynamical phenomena can be studied, such as the transition to complex basin boundaries, chaotic transients, and strange non-attracting seis. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system arc nonchaotic. In this paper, the validity of inferences made using the stochastic interrogation experimental method is checked with the aid of a numerical model, using theoretical predictions from Melnikov theory and direct computations of invariant manifolds.
AB - Stochastic interrogation is an experimental method that uses transient trajectories starting at numcrou.s pseudo-random initial conditions to obtain detailed information about the flow of a dynamical system in phase space. From this flow information, various global dynamical phenomena can be studied, such as the transition to complex basin boundaries, chaotic transients, and strange non-attracting seis. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system arc nonchaotic. In this paper, the validity of inferences made using the stochastic interrogation experimental method is checked with the aid of a numerical model, using theoretical predictions from Melnikov theory and direct computations of invariant manifolds.
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U2 - 10.1115/DETC1995-0255
DO - 10.1115/DETC1995-0255
M3 - Conference contribution
AN - SCOPUS:85103462775
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 139
EP - 157
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -