POMULT

POMULT: a program for computing periodic orbits in Hamiltonian systems based on multiple shooting algorithms. The author presents a Fortran 77 code for locating periodic orbits and equilibrium points in Hamiltonian systems. The method is based on the use of multiple shooting algorithms. It utilizes a damped Newton-Raphson method. It provides routines for computing fast Fourier transform of trajectories, Poincaré surfaces of sections, maximum Lyapunov exponents. The program’s name is POMULT available without licensing provision from CPC Program Library, Queens University of Belfast, Ireland. (Source: http://cpc.cs.qub.ac.uk/summaries/)

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

References in zbMATH (referenced in 8 articles , 1 standard article )

Showing results 1 to 8 of 8.
Sorted by year (citations)

  1. Wenyang Lyu; Shibabrat Naik; Stephen Wiggins: UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems (2020) not zbMATH
  2. Wilczak, Daniel; Barrio, Roberto: Systematic computer-assisted proof of branches of stable elliptic periodic orbits and surrounding invariant tori (2017)
  3. Barrio, Roberto; Rodríguez, Marcos: Systematic computer assisted proofs of periodic orbits of Hamiltonian systems (2014)
  4. Stamatiadis, S.; Farantos, S. C.: \textttAUTO_DERIV: Tool for automatic differentiation of a \textttFortrancode (2010)
  5. Barrio, Roberto; Blesa, Fernando: Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems (2009)
  6. Vrahatis, M. N.; Perdiou, A. E.; Kalantonis, V. S.; Perdios, E. A.; Papadakis, K.; Prosmiti, R.; Farantos, S. C.: Application of the characteristic bisection method for locating and computing periodic orbits in molecular systems (2001)
  7. Bergamin, J. M.; Bountis, T.; Jung, C.: A method for locating symmetric homoclinic orbits using symbolic dynamics (2000)
  8. Farantos, Stavros C.: POMULT: A program for computing periodic orbits in Hamiltonian systems based on multiple shooting algorithms (1998)