On the Organization of Homoclinic Bifurcation Curves in Systems with Shilnikov Spiral Attractors
Received 20 May 2021; accepted 25 May 2021
2021, Vol. 17, no. 2, pp. 157-164
Author(s): Bakhanova Y., Bobrovsky A., Burdygina T., Malykh S.
We study spiral chaos in the classical Rössler and Arneodo – Coullet – Tresser systems. Special attention is paid to the analysis of bifurcation curves that correspond to the appearance of Shilnikov homoclinic loop of saddle-focus equilibrium states and, as a result, spiral chaos. To visualize the results, we use numerical methods for constructing charts of the maximal Lyapunov exponent and bifurcation diagrams obtained using the MatCont package.
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