Singular strange attractors on the boundary of Morse-Smale systems. (English) Zbl 0911.58022
The authors study the bifurcation theory of Morse-Smale dynamical systems. They present a bifurcation giving rise to different types of singular strange attractors just across the boundary of Morse-Smale systems. Some of these attractors are new in the sense that they are not equivalent to any geometric Lorenz-like attractors. They show that different types of dynamics such as hyperbolicity, Hénon-like or Lorenz-like attractors can occur simultaneously in the unfolding of a saddle-node singular cycle in certain examples.
Reviewer: Govindan Rangarajan (Bangalore)
MSC:
| 37D15 | Morse-Smale systems |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
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