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Code Listing by Moiseev Igor

Code 1-4 of 4   

AGM calculates the Artihmetic Geometric Mean of A and B (see [1]).
The function is used in routines ELLIPJ and ELLIPTIC12.

[A,B,C,N] = AGM(A0,B0,C0,TOL)

carry out the process of the arithmetic geometric mean, starting with a given positive numbers triple (A0,B0,C0) and returns in (A,B,C) the generated sequence. N is a number of steps (returns in the type uint32).

ELLIPTIC12i evaluates the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function for the complex value of phase U. Parameter M must be in the range 0 <= M <= 1.

[Fi,Ei,Zi] = ELLIPTIC12i(U,M,TOL)

[Th, H] = JACOBITHETAETA(U,M) returns the values of the Jacobi's theta and eta elliptic functions TH and H evaluated for corresponding elements of argument U and parameter M.

The Lorenz attractor, named for Edward N. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator.

The Lorenz oscillator is a 3-dimensional dynamical system that exhibits...