A NEW PHENOMENON IN NONAUTONOMOUS CHUA'S CIRCUITS: GENERATION OF CHAOTIC BEATS

2004 ◽  
Vol 14 (05) ◽  
pp. 1773-1788 ◽  
Author(s):  
DONATO CAFAGNA ◽  
GIUSEPPE GRASSI
Keyword(s):  
Nonlinear Circuits ◽  
Chaotic Beats ◽  
Sinusoidal Signals

This paper focuses on the dynamics of coupled Chua's circuits driven by two sinusoidal signals. In particular, it is shown that the application of signals with slightly different frequencies enables the new phenomenon of chaotic beats to be generated. Finally, the application of signals with equal frequencies is discussed, with the aim of understanding the formation of beats in nonlinear circuits.

ON THE GENERATION OF CHAOTIC BEATS IN SIMPLE NONAUTONOMOUS CIRCUITS

2005 ◽  
Vol 15 (07) ◽  
pp. 2247-2256 ◽  
Author(s):  
DONATO CAFAGNA ◽  
GIUSEPPE GRASSI
Keyword(s):  
State Space ◽  
Time Domain ◽  
Chaotic Behavior ◽  
Second Order ◽  
Nonlinear Circuit ◽  
Early Results ◽  
Chaotic Beats ◽  
Sinusoidal Signals

In this Letter, attention is focused on the dynamics of a second-order nonlinear circuit driven by two sinusoidal signals. The early results reported herein show that the application of signals with slightly different frequencies enables the phenomenon of chaotic beats to be generated. In particular, the beats dynamics are analyzed both in time-domain and state-space, confirming the chaotic behavior of the proposed circuit.

Orthogonal Frequency Ultrasound Vibrometry

2010 ◽  
Author(s):  
Yi Zheng ◽  
Aiping Yao ◽  
Shigao Chen ◽  
Matthew W. Urban ◽  
Randy Kinnick ◽  
...  
Keyword(s):  
Wave Amplitude ◽  
Radiation Force ◽  
Sinusoidal Signal ◽  
Frequency Wave ◽  
Array Transducer ◽  
Ultrasound Radiation ◽  
Ultrasound Intensity ◽  
Tissue Region ◽  
Sinusoidal Signals ◽  
Frequency Ultrasound

New vibration pulses are proposed to increase the power of shear waves induced by ultrasound radiation force in a tissue region with a preferred spectral distribution. The new pulses are sparsely sampled from an orthogonal frequency wave composed of several sinusoidal signals. Those sinusoidal signals have different frequencies and are orthogonal to each other. The phase and amplitude of each sinusoidal signal are adjusted to control the shape of the orthogonal frequency wave. Amplitude of the sinusoidal signal is increased as its frequency increases to compensate for higher loss at higher frequency in the tissue region. The new vibration pulses and detection pulses can be interleaved for array transducer applications. The experimental results show that the new vibration pulses significantly increases induced tissue vibration with the same peak ultrasound intensity, compared with the binary vibration pulses.

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