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Towards scenarios of chaos appearance in three-dimensional maps

A. S. Gonchenko, S. V. Gonchenko, L. P. Shilnikov

Research Institute for Applied Mathematics and Cybernetics, Ul’yanova st.  10, Nizhnii Novgorod, 603605, Russia

Keywords: strange attractor, chaotic dynamics, spiral attractor, torus-chaos, homoclinic orbit, invariant curve, three-dimensional Hénon map.

UDC: 517.9

MSC: 37C70, 37C29, 37G25

Received: 06.10.2011
Accepted: 24.12.2011