Laboratoire d’Electronique et systèmes de Télécommunications (LEST), URA-CNRS n° 1329 University of Brest, 6 av. Le Gorgeu 29287 Brest Cedex, France ...

In this paper, we define some non-elementary amplitude functions that are giving solutions to some second-order nonlinear ODEs with forcing term and systems of ODEs with chaotic behavior, such as the ...

There was no randomness in Lorenz's equations. The different outcome was ... This shape—called the Lorenz attractor—looked strikingly like a butterfly with two looping wings.

Abstract: A novel Lorenz-type system of nonlinear differential equations is proposed ... between these two modes results in the creation of a complex butterfly chaotic attractor. Numerical simulations ...

[L80] E. N. Lorenz (1980): Attractor sets and quasi-geostrophic equilibrium. J Atmos Sci 37, 1685-1699. We refer to this model as the L80 model. This folder contains: -A script that defines the ...

In the circuit, the attractor can be observed in the phase plane (X-Y) by plotting V1 against the VCE1 voltages. 7. Analog Computer PCB implementation for solving the Lorenz equations This analog ...

At these parameter values, the three-dimensional motion given by the Lorenz equations (1) converges almost always onto its famous butterfly-shaped strange attractor. Although this is easily seen to be ...

Anabrid’s THAT Analog Computer provides a flexible, programmable, quick way to perform computations on equations. What is a Lorenz Attractor and other “strange attractors”? Analog ...

Getty Images Artwork of a Lorenz attractor, named after Edward Lorenz, who developed a system of ordinary differential equations. In particular, the Lorenz attractor is a set of chaotic solutions ...

This is a system of ordinary differential equations which have chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic ...