A class of transformation is investigated which maps a quadratic integral back to its original form but under a redefinition of free parameters. When this process is iterated, a dynamical system is generated in the form of recursive sequences which involve the parameters of the integrand.
The creation of this dynamical system and some of its convergence properties are investigated.
Bracken, P. (2017). A class of transformations of a quadratic integral generating dynamical systems. J. Numer. Anal. Approx. Theory, 46(2), 131–140. https://doi.org/10.33993/jnaat462-1113
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Journal of Numerical Analysis and Approximation Theory