stochastic interrogation
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2014 ◽  
Vol 79 (1) ◽  
pp. 607-615 ◽  
Author(s):  
R. Wiebe ◽  
L. N. Virgin ◽  
S. M. Spottswood

1996 ◽  
Vol 2 (3) ◽  
pp. 323-348 ◽  
Author(s):  
Bart W. Kimble ◽  
Joseph P. Cusumano

Stochastic interrogation is an experimental method that uses transient trajectories starting at nu merous 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 sets. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system are nonchaotic. In this paper, the validity of inferences made using the stochastic in terrogation experimental method is checked with the aid of a numerical model, using theoretical predictions from Melnikov theory and direct computations of invariant manifolds.


Author(s):  
Bart W. Kimble ◽  
Joseph P. Cusumano

Abstract Stochastic interrogation is an experimental method that uses transient trajectories starting at numerous 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 sets. The existence of these features in turn allows the occurrence of a homoclinic bifurcation to be inferred, even when all attractors in a system are 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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