Expanding Baker maps as models for the dynamics emerging from 3D homoclinic bifurcations. (English) Zbl 1291.37034
Authors’ abstract: For certain 3D homoclinic tangencies where the unstable manifold of the saddle point involved in the homoclinic tangency has dimension two, many different strange attractors have been numerically observed for the corresponding family of limit return maps. Moreover, for some special value of the parameter, the respective limit return map is conjugate to what was called “bidimensional tent map”. This piecewise affine map is an example of what is now called “expanding baker map”, and the main objective of this paper is to show how many of the different attractors exhibited for the limit return maps resemble the ones observed for expanding baker maps.
Reviewer: Adriana Buică (Cluj-Napoca)
MSC:
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37G35 | Dynamical aspects of attractors and their bifurcations |
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