Maps with a vanishing denominator. A survey of some results

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 4, 2001, Pages 2171-2185

  Bischi, G I ^a,b   Gardini, L ^a,b   Mira, C ^a,b  

^a UNIVERSITY OF URBINO   (Italy)

^b NONE

Author keywords

Attractors; Basins of attraction; Discrete dynamical systems; Focal points; Noninvertible maps

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; CURVE FITTING;

DISCRETE DYNAMICAL SYSTEMS; NONINVERTIBLE MAPS; VANISHING DENOMINATORS;

NONLINEAR EQUATIONS;

EID: 0035421753     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00343-1     Document Type: Article

References (13)

1. Basin fractalization due to focal points in a class of triangular maps
2. Maps with denominator. Part 1: Some generic properties
3. Unbounded sets of attraction
4. New phenomena related to the presence of focal points in two-dimensional maps
5. Chaotic dynamics in two-dimensional noninvertible maps
6. Global analysis of a nonlinear model with learning
7. On a rent-seeking game described by a non-invertible iterated map with denominator
8. On noninvertible maps of the plane: Eruptions
9. Global asymptotic behavior of iterative implicit schemes
10. Basin boundaries and focal points in a map coming from Bairstow's method