Indecomposable Continua and the Characterization of Strange Sets in Nonlinear Dynamics

1997 ◽  
Vol 78 (10) ◽  
pp. 1892-1895 ◽  
Author(s):  
Miguel A. F. Sanjuán ◽  
Judy Kennedy ◽  
Edward Ott ◽  
James A. Yorke
2012 ◽  
Vol 5 (4) ◽  
pp. 517-525 ◽  
Author(s):  
Patricia Henríquez Rodríguez ◽  
Jesús B. Alonso Hernández ◽  
Miguel A. Ferrer Ballester ◽  
Carlos M. Travieso González ◽  
Juan R. Orozco-Arroyave

Author(s):  
Susana Blanco ◽  
Silvia Kochen ◽  
Rodrigo Quian Quiroga ◽  
Luis Riquelme ◽  
Osvaldo A. Rosso ◽  
...  

2018 ◽  
Vol 6 (5) ◽  
pp. 379-386 ◽  
Author(s):  
Feng Xiao ◽  
Gang S. Chen ◽  
J. Leroy Hulsey ◽  
Wael Zatar

1992 ◽  
Vol 126 (1) ◽  
pp. 209-214 ◽  
Author(s):  
Martin Diestelhorst ◽  
Eckart Brauer ◽  
Horst Beige

2006 ◽  
Vol 321-323 ◽  
pp. 1123-1128 ◽  
Author(s):  
Min Joo Choi ◽  
Gwan Suk Kang ◽  
Dong Guk Paeng ◽  
Sung Min Rhim ◽  
Moo Ho Bae ◽  
...  

Harmonic image (HI) has been proposed to be promising for visualizing lesions produced by therapeutic high intensity focused ultrasound (HIFU). The study characterizes harmonics generated from the bubble cavitating at the focal region of a therapeutic HIFU field in response to a typical diagnostic ultrasound. Based on Gilmore model, it was simulated the nonlinear dynamics of the bubble being resonated at 1 MHz of the therapeutic ultrasound and driven by a typical 3.5 MHz diagnostic pulse. It was shown that harmonic generation increased with MI in a sigmoid pattern where the rapid and transient changes occurred between 0.5 and 2 in MI. For whole ranges of MI (less than 8), the sub-harmonic was the predominant in magnitudes over other harmonic bands. This reveals that, if HI is considered for improving the detection of focal legion highly cavitating caused by a HIFU field, the sub-harmonic component would be a preferred parameter rather than the 2nd harmonic which has been commonly used in current harmonic imaging.


2004 ◽  
Vol 126 (2) ◽  
pp. 341-344 ◽  
Author(s):  
Satish T. S. Bukkapatnam ◽  
Rajkumar Palanna

This paper presents our characterization of dynamics underlying the cylindrical grinding of shafts using accelerometer signals gathered from a set of designed experiments. The results of our characterizations show that the dynamics, under steady state, evolves into a finite-dimensional, perhaps chaotic, attractor contaminated by noise, with fractal dimension values hovering between 3.1 and 3.8. The major implication of this finding is in the development of tractable models to control this industrially important shaft grinding process.


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