Abstract
The aim of this paper is to show that the lognormal statistical manifold admits a potential-gradient system which is Hamiltonian, completely integrable and has a Lax pair representation by a symmetric matrix. The explicit solutions of this gradient system are also determined by means of the associated linear system.
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More From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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