Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map
From MaRDI portal
Publication:2015460
DOI10.1016/j.physleta.2013.03.027zbMath1290.37027OpenAlexW2060304693MaRDI QIDQ2015460
Publication date: 23 June 2014
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2013.03.027
Bifurcations and instability for nonlinear problems in mechanics (70K50) Simulation of dynamical systems (37M05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items
A special type of explosion of basin boundary ⋮ Fractal dimension and Wada measure revisited: no straightforward relationships in NDDS ⋮ Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering ⋮ WADA FRACTAL BASINS OF ATTRACTION IN A ZERO-STIFFNESS VIBRATION ISOLATION SYSTEM ⋮ Corrigendum to: ``The saddle-straddle method to test for Wada basins ⋮ Strange nonchaotic attractors with Wada basins ⋮ Chaotic exits from a weakly magnetized Schwarzschild black hole ⋮ Wada property in systems with delay ⋮ Wada basins of strange nonchaotic attractors in a quasiperiodically forced system ⋮ How to detect Wada basins ⋮ Control of Divergence in an Extended Invertible Logistic Map ⋮ Basin reversal in nonlinear driven oscillators
Cites Work
- Unpredictable behavior in the Duffing oscillator: Wada basins
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Fractal basin boundaries
- Basins of Wada
- Chaotic saddles in Wada basin boundaries and their bifurcations by the generalized cell-mapping digraph (GCMD) method
- Period three may not mean chaos: An example of a piecewise linear map
- Wada basin boundaries and basin cells
- Transient chaos. Complex dynamics in finite-time scales
- Basins of Attraction
- A nonlinear oscillator with a strange attractor
- WADA BASIN BOUNDARIES IN CHAOTIC SCATTERING
- Topology in chaotic scattering
