Engineering
6 years ago

Chaos Theory Unleashed: Small Changes Lead to Big Impacts in Dynamical Systems

International Journal of Applied Mathematics and Theoretical Physics
Observation of Different Behaviors of Logistic Map for Different Control Parameters
Musammet Tahmina Akter

Paper Summary

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The logistic map is a tool used to study chaotic behavior in dynamic systems. By changing certain parameters, researchers can observe how the system behaves chaotically. Even small changes in initial conditions can lead to significant differences in the system's evolution. Chaotic systems may seem random, but they are actually deterministic. The main goal of the study was to explore the behavior of the logistic map by adjusting control parameters and analyzing Lyapunov exponents and bifurcation diagrams.