Tomas Johnson's Publications

Preprints

20. D. Gaidashev, T. Johnson, M. Martens, Rigidity for infinitely renormalizable area-preserving maps
    Preprint

    Accepted for publication

19. T. Johnson, W. Tucker, On a fast and accurate method to enclose all zeros of an analytic function on a triangulated domain,
    To appear in Lecture notes in computer science 6126/6127 (2012).
    Preprint Supplementary material



Published

18. J. Guckenheimer, T. Johnson, P. Meerkamp, Rigorous enclosures of a slow manifold
    SIAM Journal on Applied Dynamical Systems 11(3) (2012), 831-863.
    Paper Preprint Supplementary material


17. D. Gaidashev, T. Johnson, A numerical study of infinitely renormalizable area-preserving maps
    Dynamical Systems - an international journal 27(3) (2012), 283-301.
    Paper Preprint Supplementary material


16. T. Johnson, W. Tucker, On a computer-aided approach to the computation of Abelian integrals
    BIT - Numerical Mathematics 51(3) (2011), 653-667.
    Paper Preprint Supplementary material


15. T. Johnson, A quartic system with twenty-six limit cycles
    Experimental Mathematics 20(3) (2011), 323-328.
    Paper Supplementary material


14. T. Johnson, No elliptic islands for the universal area-preserving map,
    Nonlinearity 24(7) (2011), 2063-2078.
    Paper Preprint Supplementary material


13. T. Johnson, W. Tucker, A note on the convergence of parametrised non-resonant invariant manifolds,
    Qualitative theory of dynamical systems 10(1) (2011), 107-121.
    Paper Preprint Supplementary material


12. T. Johnson, W. Tucker, An improved lower bound on the number of limit cycles bifurcating from a Hamiltonian planar vector field of degree 7,
    International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20(5) (2010), 1451-1458.
    Paper Supplementary material


11. T. Johnson, W. Tucker, An improved lower bound on the number of limit cycles bifurcating from a quintic Hamiltonian planar vector field under quintic perturbation,
    International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20(1) (2010), 63-70.
    Paper Supplementary material


10. D. Gaidashev, T. Johnson, Dynamics of the Universal Area-Preserving Map Associated with Period Doubling: Stable Sets
    Journal of Modern Dynamics 3(4) (2009), 555-587.
    Paper


9. D. Gaidashev, T. Johnson, Dynamics of the Universal Area-Preserving Map Associated with Period Doubling: Hyperbolic Sets,
   Nonlinearity 22(10) (2009), 2487-2520.
   Paper Supplementary material


8. T. Johnson, W. Tucker, Automated computation of robust normal forms of planar analytic vector fields,
   Discrete and continuous dynamical systems - B 12(4) (2009), 769-782.
   Paper Supplementary material


7. T. Johnson, Computer-aided computation of Abelian integrals and robust normal forms,
   Acta Universitatis Upsaliensis Uppsala Dissertations in Mathematics 66 (2009) ISBN: 978-91-506-2093-1.
   Thesis page


6. T. Johnson, W. Tucker, A rigorous study of possible configurations of limit cycles bifurcating from a hyper-elliptic Hamiltonian of degree five,
   Dynamical Systems - an international journal 24(2) (2009), 237-247.
   Paper Supplementary material


5. T. Johnson, W. Tucker, Enclosing all zeros of an analytic function - a rigorous approach,
   Journal of Computational and Applied Mathematics 228(1) (2009), 418-423.
   Paper Supplementary material


4. T. Johnson, W. Tucker, Rigorous parameter reconstruction for differential equations with noisy data,
   Automatica J. IFAC 44(9) (2008), 2422 - 2426.
   Paper Supplementary material


3. T. Johnson, L^p spectral radius estimates for the Lame system on an infinite sector,
   Experimental Mathematics 17(3) (2008), 333 - 339.
   Paper Supplementary material


2. T. Johnson, On some computer-aided proofs in analysis,
   Uppsala University U.U.D.M. Report 2007:29 (2007)
   Thesis page


1. M. Melgaard, T. Johnson, On the maximal ionization for the atomic Pauli operator,
   Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 461 (2005), no. 2063, 3355 - 3364.
   Paper