Van der Pol equation potential

In summary, the Van der Pol equation potential is a mathematical model used to describe the behavior of oscillators in various systems, named after Dutch physicist Balthasar van der Pol. It is significant in understanding and predicting the behavior of oscillating systems in fields such as physics, engineering, and biology, and has applications in the study of electronic circuits, mechanical systems, and biological oscillators. Its derivation is based on the Van der Pol equation and it has limitations in its simplifications and applicability to all types of oscillating systems.
  • #1
ReyChiquito
120
1
Hello guys, I am looking for the original article of Van der Pol.

B. van der Pol, "The nonlinear theory of electric oscillations," Proc. IRE, vol. 22, pp. 1051--1086, Sept. 1934.

do you have an idea of where i can find it? (online :blushing:, or what does proc. IRE means?)

The main idea is to find out how does the non linear potential arrives when modeling the RLC circuit that generates the Van der Pol equation.

Any reference would help.

Thx guys.
 
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  • #2
Proc. usually means "Proceedings"
 

Related to Van der Pol equation potential

1. What is the Van der Pol equation potential?

The Van der Pol equation potential is a mathematical model used to describe the behavior of oscillators in various systems, such as electrical circuits, mechanical systems, and biological systems. It is named after Dutch physicist Balthasar van der Pol, who first described the equation in 1926.

2. What is the significance of the Van der Pol equation potential?

The Van der Pol equation potential is significant because it provides a way to understand and predict the behavior of oscillating systems in a wide range of fields, including physics, engineering, and biology. It has also been used to model chaotic behavior in complex systems.

3. How is the Van der Pol equation potential derived?

The Van der Pol equation potential is derived from the second-order differential equation known as the Van der Pol equation, which describes the dynamics of a damped oscillator. The potential is then obtained by integrating the equation and solving for the potential function.

4. What are the applications of the Van der Pol equation potential?

The Van der Pol equation potential has a wide range of applications, including in the study of electronic circuits, mechanical systems, and biological oscillators. It has also been used in the analysis of chaotic systems and in the development of control systems.

5. Are there any limitations to the Van der Pol equation potential?

Like any mathematical model, the Van der Pol equation potential has its limitations. It assumes certain simplifications and idealizations that may not accurately reflect the behavior of real-world systems. Additionally, it may not be applicable to all types of oscillating systems.

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