Abstract
The period-doubling behavior of one-parameter families of maps of constant jacobian is related to a fixed-point equation of the form g B e 2 = A B e ” g B c ” g B e ” A B e and det Dg B c , g B c : R 2 → R 2. (For B e = 0 the Feigenbaum-Cvitanovic equation is recovered.) CUP> is “conjugateo̊ the transformation A B e 0 : (x,y) → (α B e x, β B e y). Expanding the fixed-point equation above in inverse powers of α B e , a low-order polynomial approximate fixed-point solution g B e is found together with an approximation to the crossover scaling functions α B e and β B e .
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