Stability analysis, chaos control, and complex attractors in a modified Rossler model
Source abstract
Abstract
In this paper, we investigate the behavior of the modified discrete Rossler system by analyzing equilibrium formation through bifurcation and stability theories. Our numerical simulations reveal chaotic behavior, specifically through the Neimark–Sacker bifurcation. To manage this chaos, we apply the OGY method and achieve stability by adjusting regulator poles. The chaotic behavior is explained using a chaotic attractor derived from time series data, and the maximum Lyapunov exponents are calculated to confirm the system’s chaotic nature and sensitivity to initial conditions. Overall, our findings provide a comprehensive understanding of the dynamics of the modified discrete Rossler system and demonstrate effective techniques for controlling chaotic behavior within such systems.
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Research context
OpenAlex topics: Chaos control and synchronization · stochastic dynamics and bifurcation · Neural Networks Stability and Synchronization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Riphah International University, Lahore Campus 1 , Lahore,
Khwaja Fareed University of Engineering and Information Technology 2 , Rahim Yar Khan 62400,
Department of Mathematics, CNCS, Ambo University 3 , Ambo,
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