Logistic map is a discrete time map written as x _{n+1}=ax_{n}(1-x_{n}).In spite of the simplicity of this equation, logistic map shows very complex behavior. So many studies have done. The above figure is the bifurcation diagram which appears when parameter a is varied. You can expand the above bifurcation diagram with the "Bifurcation diagram of the logistic map" simulator. |

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Introduction to Chaos and Nonlinear Dynamics