Publicação
The Mandelbrot set for a coquaternionic family of quadratics
| Resumo: | The Mandelbrot set stands as one of the most fascinating and visually striking mathematical objects ever discovered, representing a fundamental milestone in dynamical systems theory and fractal geometry. Extending this set into the coquaternionic domain introduces significant mathematical challenges and unveils structures of remarkable complexity. In this work, we investigate the generalization of the Mandelbrot set from the quadratic mapping family x^2+b x in the complex plane to the coquaternionic space H_coq, examining its mathematical properties, visualization techniques, and theoretical implications. |
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| Autores principais: | Falcão, M. I. |
| Outros Autores: | Miranda, Fernando; Severino, Ricardo |
| Assunto: | Coquaternions Iteration of quadratic maps Mandelbrot set Ciências Naturais::Matemáticas |
| Ano: | 2026 |
| País: | Portugal |
| Tipo de documento: | comunicação em conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | The Mandelbrot set stands as one of the most fascinating and visually striking mathematical objects ever discovered, representing a fundamental milestone in dynamical systems theory and fractal geometry. Extending this set into the coquaternionic domain introduces significant mathematical challenges and unveils structures of remarkable complexity. In this work, we investigate the generalization of the Mandelbrot set from the quadratic mapping family x^2+b x in the complex plane to the coquaternionic space H_coq, examining its mathematical properties, visualization techniques, and theoretical implications. |
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