Dec 15, 2011 · The Lorenz butterfly is a graphical way of showing these changes over time on a much smaller scale. I’ve created a demo that allows you to change variables related to the Lorenz butterfly and observe the effect it has on the system. Adjust the demo variables to see how the Lorenz butterfly changes.

The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems .# Lorenz attractor github

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Notice that there are two locations in the space that seem to draw-in all paths: these are the so-called "Lorenz attractors", and have some interesting properties which you can read about elsewhere. The qualitative characteristics of these Lorenz attractors vary in somewhat surprising ways as the parameters $(\sigma, \rho, \beta)$ are changed.

Lorenz attractor in WebXR. Flat torus with continous animation of lobes in WebXR. Metaballs via Marching Cubes. Multiple elements with LaTeX math. Multiple elements with CSS math. What have I been up to on GitHub? GitHub event viewer courtesy of @theo-armour. SageMath. sagemath-docs — simple and clear documentation for SageMath functions and ...

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Notice that there are two locations in the space that seem to draw-in all paths: these are the so-called "Lorenz attractors", and have some interesting properties which you can read about elsewhere. The qualitative characteristics of these Lorenz attractors vary in somewhat surprising ways as the parameters $(\sigma, \rho, \beta)$ are changed.

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Lorenz attractor in WebXR. Flat torus with continous animation of lobes in WebXR. Metaballs via Marching Cubes. Multiple elements with LaTeX math. Multiple elements with CSS math. What have I been up to on GitHub? GitHub event viewer courtesy of @theo-armour. SageMath. sagemath-docs — simple and clear documentation for SageMath functions and ... There are a variety of attractors, like Lorenz Attractor(a post about this is coming soon), De Jong Attractor, Clifford Attractor and Aizawa Attractor. The De Jong Attractor is defined by the following equations: x t+1 = sin(a * y t) - cos(b * x t) y t+1 = sin(c * x t) - cos(d * y t) where, a, b, c and d are the initial conditions. Aug 10, 2016 · https://github.com/rebeccabilbro/viz/blob/master/animation/lorenz_animation.py import numpy as np from scipy import integrate from matplotlib import pyplot a...

Enable mouse control: On the right, you can see an implementation of the Lorenz attractor in WebGL using. Note that the equations above are dynamic. You can click on the constants a, b, or c and change their values to radically change the appearance of the attractor.

#!/usr/bin/env python """ Create an iso-surface of the Lorenz attractor. Here we visualize a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar function. The surface is extracted via marching cubes using a visit value of 50. three.js webvr - lorenz attractor - GitHub Pages May 31, 2017 · Lorenz attractor. GitHub Gist: instantly share code, notes, and snippets. Feb 19, 2013 · If I generate a Lorenz attractor (with the parameters of s = 16, r = 4, and b = 45.92) of length 1000000 and take different sections of the x-axis of length 10000, I am seeing variations in the LLE. For example, if I take the x-axis time series from 10000 to 20000, I get a slightly different result than if I take the time series from 20000 to ... This will simulate a chaotic 3 dimensional Lorenz attractor as the underlying dynamical system, initialized from 65 initial conditions. Here is a subset of 10 conditions’ trajectories: The above comment (and this one) belong in a labeled section. Meanwhile, I'll mention that your Javascript rendition of the Lorenz attractor would be better if 1) it did not erase itself, and 2) if it rendered different portions of the attractor in different colors so it was easier to understand.96.11.154.131 22:51, 8 August 2020 (UTC)

Lorenz attractor with particles by Juan Carlos Ponce Campuzano (Source Code) Lorenz-Atractor-Resolume-Arena-Plugin by Alejo Cortiñaz (Source Code) Lorenz attractor with butterflies flying around by Juan Carlos Ponce Campuzano (Source Code) Rössler Attractor. Another famous chaotic system and such system came to being as a result of the search of a simpler model than the Lorenz system is the Rössler system (Rossler, 1979). As mentioned, the Lorenz model comes form a real-world physics, the Rössler system, however, does not have a physical meaning.

Aug 10, 2016 · https://github.com/rebeccabilbro/viz/blob/master/animation/lorenz_animation.py import numpy as np from scipy import integrate from matplotlib import pyplot a...

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- Jul 19, 2017 · In a real-life scenario, this node would be replaced with some nodes that are connected to accelerometer sensors. Because we are generating the accelerometer values using the Lorenz Attractor Model, we can ignore the timestamp payload on the messages and only react on the message object itself, which we will see later. Double-click the ...
- Jul 19, 2017 · In a real-life scenario, this node would be replaced with some nodes that are connected to accelerometer sensors. Because we are generating the accelerometer values using the Lorenz Attractor Model, we can ignore the timestamp payload on the messages and only react on the message object itself, which we will see later. Double-click the ... The Lorenz attractor is a set of three differential equations that define a path in tridimentional space: Given a 3D point in space (x,y,z) at time t0, you can calculate the next point t1 by using a numerical iterative method (such as Runge-Kutta).
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- The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems .
- The Lorenz attractor¶ An example of a third order ODE system (i.e. three 1 st order equations) is the Lorenz equations [1] . Fig. 7 CellML Text code for the Lorenz equations. Python script to draw a lorenz attractor with Runge-Kutta's method. - lorenz_attractor_runge_kutta.py
- The Lorenz attractor is a set of coupled ODEs that displays chaotic behaviour. It was found by reducing a set of equations describing atmospheric convection in the 1960s. Mostly I just think it looks pretty. The Lorenz attractor¶ An example of a third order ODE system (i.e. three 1 st order equations) is the Lorenz equations [1] . Fig. 7 CellML Text code for the Lorenz equations.

- Lorenz Attractor. The Lorenz system is a math equation know for it's chaotic solutions, and beauty. The Code; Name. Email. Message. Social. GitHub ...
- Jun 17, 2020 · import numpy as np import matplotlib.pyplot as plt def lorenz (x, y, z, s = 10, r = 28, b = 2.667): ''' Given: x, y, z: a point of interest in three dimensional space s, r, b: parameters defining the lorenz attractor Returns: x_dot, y_dot, z_dot: values of the lorenz attractor's partial derivatives at the point x, y, z ''' x_dot = s * (y-x) y ...
- three.js webvr - lorenz attractor - GitHub Pages Case study: Lorenz attractor¶ This notebook contains a full TDA pipeline to analyse the transitions of the Lorenz system to a chaotic regime from the stable one and viceversa. If you are looking at a static version of this notebook and would like to run its contents, head over to GitHub and download the source. Lorenz attractors. GitHub Gist: instantly share code, notes, and snippets.
- The Lorenz System with specific parameter values studied by Edward Lorenz (1963) is a classical textbook example of a nonlinear system of ODE that behaves chaotically (arbitrary close particles will diverge exponentially fast through time) and attracting (particles will end up in a bounded set, called Lorenz Attractor). A minimalist static website to showcase some of my projects. ... the Julia Set with Base Tools in R 4 minute read Complex Numbers, Linear Algebra, the Julia Sets, Fractal

- Dec 15, 2011 · The Lorenz butterfly is a graphical way of showing these changes over time on a much smaller scale. I’ve created a demo that allows you to change variables related to the Lorenz butterfly and observe the effect it has on the system. Adjust the demo variables to see how the Lorenz butterfly changes.
- Dec 10, 2016 · This equation will change how you see the world (the logistic map) - Duration: 18:39. Veritasium Recommended for you
- Overview¶. A high-performance topological machine learning toolbox in Python. giotto-tda is a high performance topological machine learning toolbox in Python built on top of scikit-learn and is distributed under the GNU AGPLv3 license.
- Feb 19, 2013 · If I generate a Lorenz attractor (with the parameters of s = 16, r = 4, and b = 45.92) of length 1000000 and take different sections of the x-axis of length 10000, I am seeing variations in the LLE. For example, if I take the x-axis time series from 10000 to 20000, I get a slightly different result than if I take the time series from 20000 to ...

- The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems .
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- The above figure shows a reconstruction of the Lorenz attractor where the reconstructed system state is comprised of 3 lags of variable \(x\). There is a clear visual correspondence between the reconstruction and the original Lorenz attractor. There are many applications for using this approach to recover system dynamics from time series. Lorenz attractor with particles by Juan Carlos Ponce Campuzano (Source Code) Lorenz-Atractor-Resolume-Arena-Plugin by Alejo Cortiñaz (Source Code) Lorenz attractor with butterflies flying around by Juan Carlos Ponce Campuzano (Source Code)
- Lorenz attractor with particles by Juan Carlos Ponce Campuzano (Source Code) Lorenz-Atractor-Resolume-Arena-Plugin by Alejo Cortiñaz (Source Code) Lorenz attractor with butterflies flying around by Juan Carlos Ponce Campuzano (Source Code) May 31, 2017 · Lorenz attractor. GitHub Gist: instantly share code, notes, and snippets.

- Dec 15, 2011 · The Lorenz butterfly is a graphical way of showing these changes over time on a much smaller scale. I’ve created a demo that allows you to change variables related to the Lorenz butterfly and observe the effect it has on the system. Adjust the demo variables to see how the Lorenz butterfly changes.
- To rotate the plot in 3D space, just drag or Shift + drag on the chart grid. Press 'Reset Axes' to reset. If you pause the plot, then change the parameter sliders, the plot is redrawn from the start in real time. #!/usr/bin/env python """ Create an iso-surface of the Lorenz attractor. Here we visualize a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar function. The surface is extracted via marching cubes using a visit value of 50. Dec 15, 2011 · The Lorenz butterfly is a graphical way of showing these changes over time on a much smaller scale. I’ve created a demo that allows you to change variables related to the Lorenz butterfly and observe the effect it has on the system. Adjust the demo variables to see how the Lorenz butterfly changes. Lorenz Attractor. A mysterious Lorenz Attractor.A strange occurrence swirling in the sky. Try the code: let deltat = 0 let sigma = 0 let ro = 0 let beta = 0 let x = 0 let y = 0 let z = 0 let ax = 0 let ay = 0 let az = 0 let block = 0 let p: Position = null let pb: Position = null player.onChat("lorenz", function { x = 10 y = 0 z = 10 p = player.position() while (true) { ax = x ay = y az = z x ...
- #!/usr/bin/env python """ Create an iso-surface of the Lorenz attractor. Here we visualize a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar function. The surface is extracted via marching cubes using a visit value of 50. Feb 22, 2019 · I’ll be using the Lorenz differential equations notebook from the official Jupyter Github page. After running a few cells, we get the interactive Lorenz attractor as the output. Sometimes when we have an interactive output, it gets kind of frustrating having to scroll up and down to the code that generates it. Feb 22, 2019 · I’ll be using the Lorenz differential equations notebook from the official Jupyter Github page. After running a few cells, we get the interactive Lorenz attractor as the output. Sometimes when we have an interactive output, it gets kind of frustrating having to scroll up and down to the code that generates it. There are a variety of attractors, like Lorenz Attractor(a post about this is coming soon), De Jong Attractor, Clifford Attractor and Aizawa Attractor. The De Jong Attractor is defined by the following equations: x t+1 = sin(a * y t) - cos(b * x t) y t+1 = sin(c * x t) - cos(d * y t) where, a, b, c and d are the initial conditions. Description¶ This example visualizes a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar functi
- May 18, 2019 · This is an example of plotting Edward Lorenz's 1963 "Deterministic Nonperiodic Flow" in a 3-dimensional space using mplot3d. Note Because this is a simple non-linear ODE, it would be more easily done using SciPy's ODE solver, but this approach depends only upon NumPy. The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems . Lorenz Attractor Made by Samuel Volin for Fall 2015 CSCI-4229. left / right arrow keys to rotate view around the x axis. up / down arrow keys to rotate the view and the y axis. a / q to decrease or increase sigma value by 1. s / w to decrease or increase beta value by 0.5. d / e to decrease or increase rho value by 1. 0 key resets the view rotation

- Lorenz attractors. GitHub Gist: instantly share code, notes, and snippets.
- More than 50 million people use GitHub to discover, fork, and contribute to over 100 million projects. ... To associate your repository with the lorenz-attractor ... The Lorenz System with specific parameter values studied by Edward Lorenz (1963) is a classical textbook example of a nonlinear system of ODE that behaves chaotically (arbitrary close particles will diverge exponentially fast through time) and attracting (particles will end up in a bounded set, called Lorenz Attractor).
- Description¶ This example visualizes a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar functi
- Anyhow, let’s look at the plot of the Lorenz’s equations. This coincidentally, looks a bit like a butterfly: Does our point move toward a fixed attractor (an attractor loosely speaking, is a stacking moment upon moment which reveals the little graph/path & offers us some insight of the dynamical systems, i.e. the wing is an attractor in the plot above)? Enable mouse control: On the right, you can see an implementation of the Lorenz attractor in WebGL using. Note that the equations above are dynamic. You can click on the constants a, b, or c and change their values to radically change the appearance of the attractor.

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- Anyhow, let’s look at the plot of the Lorenz’s equations. This coincidentally, looks a bit like a butterfly: Does our point move toward a fixed attractor (an attractor loosely speaking, is a stacking moment upon moment which reveals the little graph/path & offers us some insight of the dynamical systems, i.e. the wing is an attractor in the plot above)? d u d t = σ (v − u) d v d t = ρ u − v − u w d w d t = u v − β w The following program plots the Lorenz attractor (the values of x, y and z as a parametric function of time) on a Matplotlib 3D projection. This code is also available on my github page.
- Python script to draw a lorenz attractor with Runge-Kutta's method. - lorenz_attractor_runge_kutta.py May 31, 2017 · Lorenz attractor. GitHub Gist: instantly share code, notes, and snippets. Dec 10, 2016 · This equation will change how you see the world (the logistic map) - Duration: 18:39. Veritasium Recommended for you

- The above figure shows a reconstruction of the Lorenz attractor where the reconstructed system state is comprised of 3 lags of variable \(x\). There is a clear visual correspondence between the reconstruction and the original Lorenz attractor. There are many applications for using this approach to recover system dynamics from time series.
- You can easily animate the Lorenz system and visualize its strange attractor with Python, using my code this GitHub repo. You might also be interested in Pynamical, a Python package for easily playing around with chaos, fractals, and strange attractors. Lorenz Attractor. A mysterious Lorenz Attractor.A strange occurrence swirling in the sky. Try the code: let deltat = 0 let sigma = 0 let ro = 0 let beta = 0 let x = 0 let y = 0 let z = 0 let ax = 0 let ay = 0 let az = 0 let block = 0 let p: Position = null let pb: Position = null player.onChat("lorenz", function { x = 10 y = 0 z = 10 p = player.position() while (true) { ax = x ay = y az = z x ... A minimalist static website to showcase some of my projects. ... the Julia Set with Base Tools in R 4 minute read Complex Numbers, Linear Algebra, the Julia Sets, Fractal
- Overview¶. A high-performance topological machine learning toolbox in Python. giotto-tda is a high performance topological machine learning toolbox in Python built on top of scikit-learn and is distributed under the GNU AGPLv3 license. Dec 10, 2016 · This equation will change how you see the world (the logistic map) - Duration: 18:39. Veritasium Recommended for you
- The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems . Dec 10, 2016 · Electric Octopus "Driving Under The Influence Of Jams" (New Full Album) 2017 (Psychedelic Rock) - Duration: 3:53:24. The Bong Druid Of Mammoth Weed Mountain Recommended for you

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The Lorenz attractor is difficult to analyze, but the action of the differential equation on the attractor is described by a fairly simple geometric model. Proving that this is indeed the case is the fourteenth problem on the list of Smale's problems .

Overview¶. A high-performance topological machine learning toolbox in Python. giotto-tda is a high performance topological machine learning toolbox in Python built on top of scikit-learn and is distributed under the GNU AGPLv3 license.

Python script to draw a lorenz attractor with Runge-Kutta's method. - lorenz_attractor_runge_kutta.py

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Mar 24, 2018 · Python script to draw a lorenz attractor with Euler's method. - lorenz_attractor_euler.py Description¶ This example visualizes a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar functi

Aug 10, 2016 · https://github.com/rebeccabilbro/viz/blob/master/animation/lorenz_animation.py import numpy as np from scipy import integrate from matplotlib import pyplot a...Enable mouse control: On the right, you can see an implementation of the Lorenz attractor in WebGL using. Note that the equations above are dynamic. You can click on the constants a, b, or c and change their values to radically change the appearance of the attractor. Lorenz Attractor. The Lorenz system is a math equation know for it's chaotic solutions, and beauty. The Code; Name. Email. Message. Social. GitHub ...

#!/usr/bin/env python """ Create an iso-surface of the Lorenz attractor. Here we visualize a Lorenz strange attractor by integrating the Lorenz equations in a volume. The number of visits in each voxel is recorded as a scalar function. The surface is extracted via marching cubes using a visit value of 50.An interactive demonstration of the Lorenz chaotic attractor - highfellow/lorenz-attractor

Python script to draw a lorenz attractor with Runge-Kutta's method. - lorenz_attractor_runge_kutta.pyThe above figure shows a reconstruction of the Lorenz attractor where the reconstructed system state is comprised of 3 lags of variable \(x\). There is a clear visual correspondence between the reconstruction and the original Lorenz attractor. There are many applications for using this approach to recover system dynamics from time series. A minimalist static website to showcase some of my projects. ... the Julia Set with Base Tools in R 4 minute read Complex Numbers, Linear Algebra, the Julia Sets, Fractal

The Lorenz System with specific parameter values studied by Edward Lorenz (1963) is a classical textbook example of a nonlinear system of ODE that behaves chaotically (arbitrary close particles will diverge exponentially fast through time) and attracting (particles will end up in a bounded set, called Lorenz Attractor).Lorenz attractor in WebXR. Flat torus with continous animation of lobes in WebXR. Metaballs via Marching Cubes. Multiple elements with LaTeX math. Multiple elements with CSS math. What have I been up to on GitHub? GitHub event viewer courtesy of @theo-armour. SageMath. sagemath-docs — simple and clear documentation for SageMath functions and ... Jul 19, 2017 · In a real-life scenario, this node would be replaced with some nodes that are connected to accelerometer sensors. Because we are generating the accelerometer values using the Lorenz Attractor Model, we can ignore the timestamp payload on the messages and only react on the message object itself, which we will see later. Double-click the ... Lorenz attractor InsightMaker : a modeling framework for systems thinking! InsightMaker is a flexible web-based software for defining interacting systems and for modeling the behavior of inter-connected systems. Dec 10, 2016 · Electric Octopus "Driving Under The Influence Of Jams" (New Full Album) 2017 (Psychedelic Rock) - Duration: 3:53:24. The Bong Druid Of Mammoth Weed Mountain Recommended for you Lorenz attractors. GitHub Gist: instantly share code, notes, and snippets.

Overview¶. A high-performance topological machine learning toolbox in Python. giotto-tda is a high performance topological machine learning toolbox in Python built on top of scikit-learn and is distributed under the GNU AGPLv3 license.To rotate the plot in 3D space, just drag or Shift + drag on the chart grid. Press 'Reset Axes' to reset. If you pause the plot, then change the parameter sliders, the plot is redrawn from the start in real time.

Multi function strobe controllerGenerate systems of ordinary differential equations (ODE) and integrate them, using a domain specific language (DSL). The DSL uses Rs syntax, but compiles to C in order to efficiently solve the system. A solver is not provided, but instead interfaces to the packages deSolve and dde are generated. With these, while solving the differential equations, no allocations are done and the calculations ...

Freenas identify failed driveThere are a variety of attractors, like Lorenz Attractor(a post about this is coming soon), De Jong Attractor, Clifford Attractor and Aizawa Attractor. The De Jong Attractor is defined by the following equations: x t+1 = sin(a * y t) - cos(b * x t) y t+1 = sin(c * x t) - cos(d * y t) where, a, b, c and d are the initial conditions. Dec 15, 2011 · The Lorenz butterfly is a graphical way of showing these changes over time on a much smaller scale. I’ve created a demo that allows you to change variables related to the Lorenz butterfly and observe the effect it has on the system. Adjust the demo variables to see how the Lorenz butterfly changes.

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d u d t = σ (v − u) d v d t = ρ u − v − u w d w d t = u v − β w The following program plots the Lorenz attractor (the values of x, y and z as a parametric function of time) on a Matplotlib 3D projection. This code is also available on my github page. The easiest way I found to implement the strange attractors was to do all the calculation inside a fragment shader that take care of defining the particle’s position. Here’s an example of a fragment shader that calculates the particle’s motion while affected by Lorenz attractor. The Lorenz attractor is a set of coupled ODEs that displays chaotic behaviour. It was found by reducing a set of equations describing atmospheric convection in the 1960s. Mostly I just think it looks pretty. Case study: Lorenz attractor¶ This notebook contains a full TDA pipeline to analyse the transitions of the Lorenz system to a chaotic regime from the stable one and viceversa. If you are looking at a static version of this notebook and would like to run its contents, head over to GitHub and download the source.

You can easily animate the Lorenz system and visualize its strange attractor with Python, using my code this GitHub repo. You might also be interested in Pynamical, a Python package for easily playing around with chaos, fractals, and strange attractors.Lorenz Attractor. A mysterious Lorenz Attractor.A strange occurrence swirling in the sky. Try the code: let deltat = 0 let sigma = 0 let ro = 0 let beta = 0 let x = 0 let y = 0 let z = 0 let ax = 0 let ay = 0 let az = 0 let block = 0 let p: Position = null let pb: Position = null player.onChat("lorenz", function { x = 10 y = 0 z = 10 p = player.position() while (true) { ax = x ay = y az = z x ... The Lorenz Attractor is a fractal structure corresponding to the long-term behavior of the Lorenz oscillator. The Lorenz oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. Check out the example!

Anyhow, let’s look at the plot of the Lorenz’s equations. This coincidentally, looks a bit like a butterfly: Does our point move toward a fixed attractor (an attractor loosely speaking, is a stacking moment upon moment which reveals the little graph/path & offers us some insight of the dynamical systems, i.e. the wing is an attractor in the plot above)?May 18, 2019 · This is an example of plotting Edward Lorenz's 1963 "Deterministic Nonperiodic Flow" in a 3-dimensional space using mplot3d. Note Because this is a simple non-linear ODE, it would be more easily done using SciPy's ODE solver, but this approach depends only upon NumPy. Construction planning and scheduling manualMay 31, 2017 · Lorenz attractor. GitHub Gist: instantly share code, notes, and snippets.

The above figure shows a reconstruction of the Lorenz attractor where the reconstructed system state is comprised of 3 lags of variable \(x\). There is a clear visual correspondence between the reconstruction and the original Lorenz attractor. There are many applications for using this approach to recover system dynamics from time series.