Experimental Synchronization of Two Van der Pol Oscillators with Nonlinear and Delayed Unidirectional Coupling

AbstractThis paper presents the experimental investigation on synchronization of two Van der Pol oscillators with polynomial and delay unidirectional couplings. The intervals of coupling coefficients and delay leading to synchronization are determined experimentally using analog electronic circuits. Three cases are considered: autonomous Van der Pol oscillators, sinusoidally exited Van der Pol oscillators in the chaotic state and Van der Pol oscillators with two slowly sinusoidal excitations delivering periodic patterns of periodic pulses. It is found that the degree of the polynomial coupling reduces the intervals of coupling coefficients leading to synchronization and the delay affects the coupling intervals in a periodic way. The experimental results agree well with the results of the theoretical (mathematical and numerical) investigation.

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An Experimental Investigation of Coupled van der Pol Oscillators

Journal of Vibration and Acoustics ◽

10.1115/1.4000808 ◽

2010 ◽

Vol 132 (3) ◽

Cited By ~ 4

Author(s):

Bhaskar Choubey

Keyword(s):

Experimental Investigation ◽

Chaotic Behavior ◽

Experimental Results ◽

Experimental Investigations ◽

Van Der Pol ◽

Chaotic Region ◽

Van Der Pol Oscillators ◽

Electronic Oscillators

Experimental investigations of synchronization of linearly diffusive coupled van der Pol electronic oscillators are reported. In addition to in- and antiphase stable oscillations, shifted symmetric and asymmetric trajectories have been observed experimentally. However, the experiments have failed to produce stable chaotic behavior in these systems. Extended numeric simulations are then performed to show that the previously believed chaotic region is a transient numeric effect, thereby validating experimental results.

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Microcontroller Control/Synchronization of the Dynamics of Van der Pol Oscillators Submitted to Disturbances

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2017-0025 ◽

2018 ◽

Vol 19 (2) ◽

pp. 153-163 ◽

Cited By ~ 3

Author(s):

R. Thepi Siewe ◽

U. Simo Domguia ◽

P. Woafo

Keyword(s):

Numerical Simulation ◽

Coupling Coefficients ◽

Van Der Pol ◽

Simulation Based ◽

Van Der Pol Oscillators ◽

Adaptive Coupling

AbstractIn this article, we present a microcontroller implementation of the synchronization of two Van der Pol oscillators submitted to disturbances of the pulse-like type. Three coupling schemes are used: the classical linear proportional coupling, a power order coupling and an adaptive coupling. After obtaining the coupling coefficients for synchronization through numerical simulation, the microcontroller implementation is carried out using simulation based on Euler algorithm. Agreement is found between both simulation strategies.

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Experimental and Numerical Investigation into Mixing Efficiency of Micromixers with Different Geometric Barriers

Materials Science Forum ◽

10.4028/www.scientific.net/msf.505-507.391 ◽

2006 ◽

Vol 505-507 ◽

pp. 391-396 ◽

Cited By ~ 12

Author(s):

Chia Yen Lee ◽

Chiufeng Lin ◽

M.F. Hung ◽

R.H. Ma ◽

Chien Hsiung Tsai ◽

...

Keyword(s):

Experimental Investigation ◽

Numerical Investigation ◽

Low Cost ◽

Experimental Results ◽

Mixing Efficiency ◽

Mixing Performance ◽

Side Channels ◽

Liquid Samples ◽

Glass Slides ◽

Good Agreement

This paper proposes a numerical and experimental investigation of mixing behaviors of two liquid samples in microchannels that are shaped into different geometric barriers. The micro-mixers utilized in this study are fabricated on low-cost glass slides using a simple and reliable fabrication process. Samples are driven by a hydrodynamic pump to lead them into the mixing section of the microchannels. The effects of mixing performance of various kinds of barrier shape are discussed in this study. The numerical and experimental results show that a better mixing efficiency can be obtained in the microchannels while using the elliptic-shape barriers in compare with the leaking side-channels. In this study, the simulated and experimental results are in good agreement. The investigation of mixing efficiency in microchannels with different geometric barriers could be crucial for microfluidic systems.

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