A METHOD TO CALCULATE BASIN BIFURCATION SETS FOR A TWO-DIMENSIONAL NONINVERTIBLE MAP
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Publication:5474132
DOI10.1142/S0218127400001274zbMath1090.37544MaRDI QIDQ5474132
Hiroshi Kawakami, Hiroyuki Kitajima, Christian Mira
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Low-dimensional dynamical systems (37E99)
Related Items (3)
Noninvertible maps and their embedding into higher dimensional invertible maps ⋮ Analysis of Snapback Repellers Using Methods of Symbolic Computation ⋮ Algebraic Analysis of Bifurcations and Chaos for Discrete Dynamical Systems
Cites Work
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Noninvertibility and the structure of basins of attraction in a model adaptive control system
- Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
- Mathematical Problems of Nonlinear Dynamics: A Tutorial
- BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
- Homoclinic and Heteroclinic Situations Specific to Two-Dimensional Noninvertible Maps
- An Algorithm for the Computation of Preimages in Noninvertible Mappings
- Basin Properties in Two-Dimensional Noninvertible Maps
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