Ashish Rayal1, Priya Dogra1, Sabri T. M. Thabet2,3,4,*, Imed Kedim5, Miguel Vivas-Cortez6,*
CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.2, pp. 1895-1925, 2025, DOI:10.32604/cmes.2025.060989
- 30 May 2025
Abstract The Rössler attractor model is an important model that provides valuable insights into the behavior of chaotic systems in real life and is applicable in understanding weather patterns, biological systems, and secure communications. So, this work aims to present the numerical performances of the nonlinear fractional Rössler attractor system under Caputo derivatives by designing the numerical framework based on Ultraspherical wavelets. The Caputo fractional Rössler attractor model is simulated into two categories, (i) Asymmetric and (ii) Symmetric. The Ultraspherical wavelets basis with suitable collocation grids is implemented for comprehensive error analysis in the solutions of More >