Duffing | python code simulates the Duffing oscillator

by vkulkar Python Version: Current License: No License

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kandi X-RAY | Duffing Summary

Duffing is a Python library typically used in Simulation applications. Duffing has no bugs, it has no vulnerabilities and it has low support. However Duffing build file is not available. You can download it from GitHub.

This python code simulates the Duffing oscillator, a damped driven harmonic oscillator in a double well potential. It is a classic example of chaos theory, where the motion of the oscillator is strongly dependent on the initial conditions. The code should take less than 5 seconds to run as is, and outputs the Poincare map, which is a fractal. More details are found in duffing_oscillator.pdf.

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Duffing has a low active ecosystem.

It has 5 star(s) with 1 fork(s). There are 1 watchers for this library.

It had no major release in the last 6 months.

Duffing has no issues reported. There are no pull requests.

It has a neutral sentiment in the developer community.

The latest version of Duffing is current.

Quality

Duffing has 0 bugs and 2 code smells.

Security

Duffing has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

Duffing code analysis shows 0 unresolved vulnerabilities.

There are 0 security hotspots that need review.

License

Duffing does not have a standard license declared.

Check the repository for any license declaration and review the terms closely.

Without a license, all rights are reserved, and you cannot use the library in your applications.

Reuse

Duffing releases are not available. You will need to build from source code and install.

Duffing has no build file. You will be need to create the build yourself to build the component from source.

It has 72 lines of code, 4 functions and 1 files.

It has low code complexity. Code complexity directly impacts maintainability of the code.

Top functions reviewed by kandi - BETA

kandi has reviewed Duffing and discovered the below as its top functions. This is intended to give you an instant insight into Duffing implemented functionality, and help decide if they suit your requirements.

2 function to 2
Convenience function .
Convenience function to calculate x and y
Convenience function to equation 3 . 4 .

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Duffing Key Features

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Duffing Examples and Code Snippets

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Community Discussions

Trending Discussions on Duffing

Drawing Poincare Section using Python

(MATLAB/C++) Is it possible to pass functions as arguments to C++ MEX functions?

Solve non-linear non homogeneous differential equation with python (Duffing oscillator)

Phase Portrait of this Non-linear System

QUESTION

Drawing Poincare Section using Python

Asked 2021-Dec-10 at 15:09

I was about to plot a Poincare section of the following DE, which is quite meaningful to have a periodic potential function V(x) = - cos(x) in this equation.

After calculating the solution using RK4 with time interval dt = 0.001, the one that python drew was as the following plot.

But according to the textbook(referred to 2E by J.M.T. Thompson and H.B. Stewart), the section would look like as

it has so much difference. For my personal opinion, since Poincare section does not appear as what writers draw, there must be some error in my code. However, I actually done for other forced oscillation DE, including Duffing's equation, and obtained the identical one as those in the textbook. So, I was wodering if there are some typos in the equation given by the textbook, or somewhere else. I posted my code, but might be quite messy to understand. So appreicate dealing with it.

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ANSWER

Answered 2021-Dec-10 at 09:57

If you factor out some of the computation blocks, you can make the code more flexible and computations more direct. No need to reconstruct something if you can construct it in the first place. You want to catch the points where w0*t is a multiple of 2*pi, so just construct the time loops so you integrate in chunks of 2*pi/w0 and only remember the interesting points.

Source https://stackoverflow.com/questions/70301658

QUESTION

(MATLAB/C++) Is it possible to pass functions as arguments to C++ MEX functions?

Asked 2021-Feb-13 at 01:10

I have only been working with mex functions for a couple of weeks, and am now working on writing a Runge-Kutta, 4th order solver as a C++ mex function. I am wondering whether it is possible to take a function as an input. Effectively, it would be nice to have my dynamics function written in MATLAB and pass it straight through to my RK4 mex function. For example, if the dynamics are governed by Duffing's equation, written in MATLAB:

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ANSWER

Answered 2021-Feb-12 at 18:33

Just quickly skimming the MATLAB C++ API doc, it looks like you can do this using the matlab::engine::MATLABEngine::feval interface found here:

https://www.mathworks.com/help/matlab/matlab_external/cpp-mex-api.html?searchHighlight=fevalAsync&s_tid=srchtitle#mw_723048ca-e22f-4bfb-aa12-47b8007da774

I.e., pass your function name into the C++ mex file as a string which you can get from the ArgumentList via the matlab::data::CharArray syntax:

Source https://stackoverflow.com/questions/66175990

QUESTION

Solve non-linear non homogeneous differential equation with python (Duffing oscillator)

Asked 2021-Jan-24 at 21:01

I try to solve the Duffing equation using odeint:

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ANSWER

Answered 2021-Jan-24 at 21:01

Inserting the constants, the equation becomes

Source https://stackoverflow.com/questions/65873525

QUESTION

Phase Portrait of this Non-linear System

Asked 2020-Jul-07 at 12:17

I'm trying to plot phase portrait of a Hamiltonian of Duffing equation using Python.

The Hamiltonian is
H(u,v)= (3b/32)(u²+v²)² - (s/2)(u²+v²) - K·u

Here I set
b = 8/3, K = 1, s = 2, ⇒ H(u,v)= (u²+v²)²/4 - (u²+v²) - u

I know how to implement it in WolframALpha,

...

ANSWER

Answered 2020-Jul-06 at 20:46

The main point to keep in mind is that you have to create 2D arrays of the velocities of the vectorfield U, V by using the meshgrid np.mgrid. Use the code below as a starting point and don't forget to play around with the options of streamplot.

Source https://stackoverflow.com/questions/62752013

Community Discussions, Code Snippets contain sources that include Stack Exchange Network

Vulnerabilities

No vulnerabilities reported

Install Duffing

You can download it from GitHub.
You can use Duffing like any standard Python library. You will need to make sure that you have a development environment consisting of a Python distribution including header files, a compiler, pip, and git installed. Make sure that your pip, setuptools, and wheel are up to date. When using pip it is generally recommended to install packages in a virtual environment to avoid changes to the system.

Support

For any new features, suggestions and bugs create an issue on GitHub. If you have any questions check and ask questions on community page Stack Overflow .

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