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Predicting chaos in memristive oscillator via harmonic balance method
Xin Wang1, Chuandong Li, Tingwen Huang
1School of Electronics and Information Engineering, Southwest University, Chongqing 400715, China.
Chaos (Woodbury, N.Y.)
|January 3, 2013
Summary
This study investigates chaotic behaviors in a memristive oscillator using the harmonic balance method. Researchers predict and confirm chaos, demonstrating the method
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Electrical Engineering
Background:
- Memristive oscillators are crucial for understanding complex electronic behaviors.
- Cubic nonlinearities can lead to intricate dynamical phenomena, including chaos.
- The harmonic balance method is a powerful tool for analyzing nonlinear systems.
Purpose of the Study:
- To investigate potential chaotic behaviors in a memristive oscillator with cubic nonlinearities.
- To apply the harmonic balance method for predicting chaos.
- To validate theoretical predictions with numerical simulations.
Main Methods:
- The harmonic balance method (method of describing function) was employed.
- The memristive oscillator system was transformed into a Lur'e model.
- Distortion index was measured to ensure prediction accuracy.
- Numerical simulations were conducted for validation.
Main Results:
- The harmonic balance method successfully predicted the existence of chaotic behaviors.
- The distortion index confirmed the reliability of the chaos prediction.
- Numerical simulations corroborated the theoretical findings.
Conclusions:
- The harmonic balance method is effective for detecting chaos in memristive oscillators.
- The studied memristive oscillator exhibits chaotic dynamics under certain conditions.
- This research contributes to the understanding of nonlinear dynamics in memristive circuits.
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