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    Books:

    Preprints (arXiv.org):
    • M. Engel. C. Kuehn, M. Petrera, Yu.B. Suris, Discretized fast-slow systems with canard points in two dimensions

    • M. Petrera, M. Vermeeren, Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs

    • M. Petrera, Yu.B. Suris, Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II. Systems with a linear Poisson tensor

    • M. Petrera, Yu.B. Suris, A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case

    • M. Petrera, Yu.B. Suris, A construction of commuting systems of integrable symplectic birational maps


    Papers (for the full bibliographical data see zbMath or MathSciNet):
    1. M. Petrera, J. Smirin, Yu.B. Suris, Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems

    2. M. Petrera, Yu.B. Suris, New results on integrability of the Kahan-Hirota-Kimura discretizations

    3. M. Petrera, Yu.B. Suris, Variational symmetries and pluri-Lagrangian systems in classical mechanics

    4. M. Petrera, Yu.B. Suris, A construction of a large family of commuting pairs of integrable symplectic birational 4-dimensional maps

    5. M. Petrera, Yu.B. Suris, On the classification of multidimensionally consistent 3D maps

    6. M. Petrera, R. Zander, New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations

    7. M. Petrera, A. Pfadler, Yu.B. Suris, On the construction of elliptic solutions of integrable birational maps

    8. R. Boll, M. Petrera, Yu.B. Suris, On the variational interpretation of the discrete KP equation

    9. R. Boll, M. Petrera, Yu.B. Suris, On integrability of discrete variational systems. Octahedron relations

    10. R. Boll, M. Petrera, Yu.B. Suris, Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems

    11. R. Boll, M. Petrera, Yu.B. Suris, What is integrability of discrete variational systems?

    12. R. Boll, M. Petrera, Yu.B. Suris, Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Toda-type systems

    13. M. Petrera, Yu.B. Suris, S. Kovalevskaya system, its generalization and discretization

    14. M. Petrera, Yu.B. Suris, Spherical geometry and integrable systems

    15. M. Petrera, A. Pfadler, Yu.B. Suris, On integrability of Hirota-Kimura type discretizations

    16. M. Petrera, Yu.B. Suris, On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top

    17. D. Levi, M. Petrera, C. Scimiterna, Multiscale reduction of discrete nonlinear Schroedinger equation

    18. M. Petrera, A. Pfadler, Yu.B. Suris, On integrability of Hirota-Kimura type discretizations. Experimental study of the discrete Clebsch system

    19. A.N.W. Hone, M. Petrera, Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras

    20. D. Levi, M. Petrera, C. Scimiterna, R. Yamilov, On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations

    21. R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion and integrability properties of the lattice potential KdV equation

    22. D. Levi, M. Petrera, C. Scimiterna, On the integrability of the discrete nonlinear Schroedinger equation

    23. M. Petrera, Yu.B. Suris, An integrable discretization of the rational su(2) Gaudin model and related systems

    24. R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion on the lattice and integrability of partial difference equations

    25. R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order

    26. D. Levi, M. Petrera, C. Scimiterna, The lattice Schwarzian KdV equation and its symmetries

    27. D. Levi, M. Petrera, Continuous symmetries of the lattice potential KdV equation

    28. M. Petrera, O. Ragnisco, From su(2) Gaudin models to integrable tops

    29. Xiaoda Ji, D. Levi, M. Petrera, Multiscale expansion of the lattice sine-Gordon equation

    30. D. Levi, M. Petrera, Discrete reductive perturbation technique

    31. F. Musso, M. Petrera, O. Ragnisco, G. Satta, Bäcklund transformations for the rational Lagrange chain

    32. F. Musso, M. Petrera, O. Ragnisco, G. Satta, A rigid body dynamics derived from a class of extended Gaudin models: an integrable discretization

    33. F. Musso, M. Petrera, O. Ragnisco, G. Satta, Gaudin models with U_q(osp(1,2)) symmetry

    34. F. Musso, M. Petrera, O. Ragnisco, Algebraic extensions of Gaudin models

    35. V. Kuznetsov, M. Petrera, O. Ragnisco, Separation of variables and Bäcklund transformations for the symmetric Lagrange top


    PhD Thesis: Integrable extensions and discretizations of classical Gaudin models (2007)
    Last update: 12.09.2018