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Stability, attractors, and bifurcations of the A2 symmetric flow

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  • González-Miranda, J.M.

Abstract

The A2 symmetric flow, initially introduced to study effects of symmetry in chaos synchronization, displays a variety of attractors and bifurcations much richer than initially though. These are studied in this article by means of two approaches. A linear stability analysis is used to determine fixed points, the nature of its stability, and where oscillatory solutions are expected. Nonlinear techniques such as bifurcation diagrams, Lyapunov exponents and phase space plots, are used to find and classify these oscillations and their bifurcations.

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  • González-Miranda, J.M., 2012. "Stability, attractors, and bifurcations of the A2 symmetric flow," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 341-350.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:3:p:341-350
    DOI: 10.1016/j.chaos.2011.12.013
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