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The Dadras system is an autonomous quadratic dynamical system given by

where , , , , and are positive parameters (Dadras and Momeni 2009). The state variables are , , and , and primes denote derivatives with respect to time . The origin is an equilibrium point. The Jacobian of the vector field there has eigenvalues , , and , so the origin is a saddle point. The vector field has constant divergence , so the flow contracts phase space volume if . Dadras and Momeni (2009) report numerical examples of strange attractors with different numbers of scrolls, or spiral-shaped lobes in phase space, including a double-scroll attractor.

The figure shows the orthogonal projection of a trajectory in the two-wing example onto the -plane for . It uses , , , , and , with .

See also

Dynamical System, Strange Attractor

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References

Dadras, S. and Momeni, H. R. "A Novel Three-Dimensional Autonomous Chaotic System Generating Two, Three and Four-Scroll Attractors." Phys. Lett. A 373, 3637-3642, 2009. https://doi.org/10.1016/j.physleta.2009.07.088.

Cite this as:

Weisstein, Eric W. "Dadras System." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DadrasSystem.html

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