Basin Fractalization Due to Focal Points in a Class of Triangular Maps

DOI10.1142/S0218127497001229zbMath0899.58045OpenAlexW2088126776MaRDI QIDQ4393536

Laura Gardini, Gian-Italo Bischi

Publication date: 15 November 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497001229

zbMATH Keywords

bifurcationbasin of attractionfocal pointline of focal valuesrational triangular map

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

PLANE MAPS WITH DENOMINATOR. PART III: NONSIMPLE FOCAL POINTS AND RELATED BIFURCATIONS ⋮ Adaptive and statistical expectations in a renewable resource market. ⋮ Homoclinic bifurcations in heterogeneous market models. ⋮ Path Dependence in Models with Fading Memory or Adaptive Learning ⋮ Ways of learning in a simple economic setting: A comparison ⋮ Invariant Curves and Focal Points in a Lyness Iterative Process ⋮ Plane Maps with Denominator. Part II: Noninvertible Maps with Simple Focal Points ⋮ The Loss of Predictability of Monetary Policy in a Macrodynamic System: Highly Intertwined Absolute and Transient Basins of Attraction ⋮ PLANE MAPS WITH DENOMINATOR I: SOME GENERIC PROPERTIES ⋮ Mann iteration with power means ⋮ Symmetric functions and exact Lyapunov exponents ⋮ UNBOUNDED SETS OF ATTRACTION ⋮ KNOT POINTS IN TWO-DIMENSIONAL MAPS AND RELATED PROPERTIES ⋮ On some properties of focal points ⋮ Basin boundaries and focal points in a map coming from Bairstow’s method