Semyon Malykh
Publications:
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Bakhanova Y., Bobrovsky A. A., Burdygina T., Malykh S.
On the Organization of Homoclinic Bifurcation Curves in Systems with Shilnikov Spiral Attractors
2021, Vol. 17, no. 2, pp. 157-164
Abstract
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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