Iteration of Quadratic Maps on Coquaternions

DOI10.1142/S0218127417300397zbMath1381.65041OpenAlexW2780578165MaRDI QIDQ3132815

Fernando Miranda, Ricardo Severino, Maria Joana Soares, Maria Irene Falcão

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127417300397

zbMATH Keywords

stabilityfixed pointsbifurcationsperiodic pointscoquaternionsiteration of quadratic maps

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (2)

On the roots of coquaternions ⋮ Dynamics of the coquaternionic maps \(x^2 + \mathsf{b}x\)

Cites Work

• Unnamed Item
• Unnamed Item
• Timelike minimal surfaces via loop groups
• Continuous and discrete dynamics near manifolds of equilibria
• Generalization of the Mandelbrot set: quaternionic quadratic maps
• Dynamics of quadratic functions in cycle planes
• Clifford algebraic remark on the Mandelbrot set of two-component number systems
• Matrices of quaternions
• ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS
• Iteration of Quaternion Functions
• ITERATION OF QUATERNION MAPS
• GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• QUATERNION DYNAMICS AND FRACTALS IN ℝ⁴
• DYNAMICS OF A FAMILY OF QUADRATIC MAPS IN THE QUATERNION SPACE
• Quadratic dynamics in binary number systems

This page was built for publication: Iteration of Quadratic Maps on Coquaternions