Monotonicity and non-monotonicity regions of topological entropy for Lorenz-like families with infinite derivatives
We study behavior of the topological entropy as the function of parameters for two-parameter family of symmetric Lorenz maps Tc,ɛ(x) = (−1 + c|x|1−ɛ) · sgn(x). This is the normal form for splitting the homoclinic loop in systems which have a saddle equilibrium with one-dimensional unstable manifold...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-11-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2020.2.00052 |