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
Keyword(s):  
Nonlinear Dynamics ◽  
Indecomposable Continua

Global Selection of Features for Nonlinear Dynamics Characterization of Emotional Speech

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
Keyword(s):  
Nonlinear Dynamics ◽  
Emotional Speech ◽  
Global Selection ◽  
Selection Of

Characterization of Epileptic EEG Time Series (I): Gabor Transform and Nonlinear Dynamics Methods

1997 ◽  
pp. 179-226 ◽  
Author(s):  
Susana Blanco ◽  
Silvia Kochen ◽  
Rodrigo Quian Quiroga ◽  
Luis Riquelme ◽  
Osvaldo A. Rosso ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Time Series ◽  
Gabor Transform

Characterization of Nonlinear Dynamics for a Highway Bridge in Alaska

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

Characterization of ferroelectric materials by methods of nonlinear dynamics

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

Characterization of the Harmonic Generation from Cavitating Bubbles Interacted with a Diagnostic Ultrasound in the Focal Region of High Intensity Focused Ultrasound

2006 ◽  
Vol 321-323 ◽  
pp. 1123-1128 ◽  
Author(s):  
Min Joo Choi ◽  
Gwan Suk Kang ◽  
Dong Guk Paeng ◽  
Sung Min Rhim ◽  
Moo Ho Bae ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Harmonic Generation ◽  
High Intensity ◽  
Focused Ultrasound ◽  
Harmonic Component ◽  
Diagnostic Ultrasound ◽  
High Intensity Focused Ultrasound ◽  
Focal Region ◽  
Current Harmonic

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.

Experimental Characterization of Nonlinear Dynamics Underlying the Cylindrical Grinding Process

2004 ◽  
Vol 126 (2) ◽  
pp. 341-344 ◽  
Author(s):  
Satish T. S. Bukkapatnam ◽  
Rajkumar Palanna
Keyword(s):  
Nonlinear Dynamics ◽  
Fractal Dimension ◽  
Steady State ◽  
Grinding Process ◽  
Experimental Characterization ◽  
Cylindrical Grinding ◽  
Designed Experiments ◽  
Finite Dimensional ◽  
Major Implication

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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