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A Fortran 90 separable Hamiltonian system solver

✍ Scribed by I. Gladwell; K. Bouas-Dockery; R.W. Brankin


Book ID
104308541
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
660 KB
Volume
25
Category
Article
ISSN
0168-9274

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✦ Synopsis


We discuss a prototype Fortran 90 separable Hamiltonian system solver and present a template illustrating its use. The solver permits a wide choice of symplectic and non-symplectic integrators, and fixed and errorcontrolled integration step sizes. It is designed to permit insertion of new formulas as they become available.


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The program presented computes all the Lyapunov exponents of an unknown dynamical system from a time series. The method used is based on a fitting of the time series with an analytical function through a least square minimizatior, after which the Lyapunov exponents are determined from the stability