Speaker
Description
A deeper understanding of how parameter variations and initial-condition uncertainty influence the behavior of nonlinear dynamical systems is essential for reliable stability and sensitivity analysis. Nonlinear systems can exhibit substantially different responses under changes in system parameters and initial conditions, making it important to systematically identify the factors governing these changes and assess the robustness of the observed behavior. This study investigates a three-dimensional coupled Rössler-type system using a combination of parametric and ensemble-based analyses. The effects of different system parameters, coupling strengths, and initial conditions are examined to characterize dynamical behavior, stability, sensitivity, and extreme responses. The results demonstrate that coupling strength significantly influences the organization of system responses, while (c_1) emerges as an important parameter governing stability and response characteristics. The study provides a systematic framework for understanding parameter-dependent behavior and initial-condition sensitivity in coupled nonlinear dynamical systems.