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      New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations

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          Abstract

          We present some new families of quadratic vector fields, not necessarily integrable, for which their Kahan-Hirota-Kimura discretization exhibits the preservation of some of the characterizing features of the underlying continuous systems (conserved quantities and invariant measures).

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          Generalized Hamiltonian Dynamics

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            Discretization of the Euler Top

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              Discretization of the Lagrange Top

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                Author and article information

                Journal
                2016-10-12
                Article
                1610.03664
                3c999742-5e77-4ef2-a58d-29f7adcdc42e

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                12 pages
                nlin.SI math-ph math.MP math.NA

                Mathematical physics,Numerical & Computational mathematics,Mathematical & Computational physics,Nonlinear & Complex systems

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