Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems
Author:
Funder
Polish National Science Centre
Publisher
Elsevier BV
Subject
Applied Mathematics,Modelling and Simulation,Numerical Analysis
Reference55 articles.
1. Inclusion methods for systems of nonlinear equations—the interval newton method and modifications;Alefeld,1994
2. Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem;Arioli;Comm Math Phys,2002
3. The astronomical almanac. http://asa.usno.navy.mil/static/files/2018/Astronomical_Constants_2018.pdf.
4. Abad A, Barrio R, Blesa F, Rodríguez M. Algorithm 924: TIDES, a taylor series integrator for differential equations. ACM Trans Math Softw 39(1):5.
5. Bifurcations and chaos in hamiltonian systems;Barrio;Int J Bif Chaos,2010
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