On Jacobian matrices for flows | Zendy

B. Doyon | Zendy; Lucky Dube | Zendy

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On Jacobian matrices for flows

Author(s) -

B. Doyon,

Lucky Dube

Publication year - 2005

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.1854031

Subject(s) - jacobian matrix and determinant , discretization , mathematics , hamiltonian (control theory) , flow (mathematics) , constraint (computer aided design) , dynamical systems theory , hamiltonian system , mathematical analysis , mathematical optimization , physics , geometry , quantum mechanics

We present a general method for constructing numerical Jacobian matrices for flows discretized on a Poincaré surface of section. Special attention is given to Hamiltonian flows where the additional constraint of energy conservation is explicitly taken into account. We demonstrate the approach for a conservative dynamical flow and apply the technique for the general detection of periodic orbits.

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