In this paper we consider a discontinuous one-dimensional map, which is linear on one side of a generic point and hyperbolic on the other side, coming from economic applications. However this kind of piecewise smooth models is widely used also in other different applied contexts, and is characterize
โฆ LIBER โฆ
Border collision bifurcations in one-dimensional linear-hyperbolic maps
โ Scribed by Laura Gardini; Fabio Tramontana; Iryna Sushko
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 462 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0378-4754
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This paper derives a renormalization formula defined on the parameter space where mapping behavior is preserved, together with the equivalent potential function. In contrast to the universal function given by Feigenbaum, the behavior near the critical point is governed by the potential function. The