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How can I determine if the logistic map is conservative or dissipative or none of the above?
Yes, it does. So how can I determine if a logistic map is conservative or dissipative?
One way to determine if a logistic map is conservative or dissipative is to examine the behavior of its fixed points, which are the points at which the equation remains constant over time. If the fixed points are stable, then the map is conservative, while if the fixed points are unstable, then the map is dissipative. Additionally, you can look at the Lyapunov exponent of the logistic map, which is a measure of its predictability. If the Lyapunov exponent is positive, then the map is dissipative, while if it is negative, then the map is conservative.