Books: Preprints (arXiv.org): Papers (for the full bibliographical data see zbMath or MathSciNet): PhD Thesis: Integrable extensions and discretizations of classical Gaudin models (2007) Last update: 12.09.2018 |
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Books:
M. Petrera, Mathematical Physics III: Integrable Systems of Classical Mechanics. Lecture Notes, 2015, Logos Verlag Berlin
M. Petrera, Mathematical Physics II: Classical Statistical Mechanics. Lecture Notes, 2014, Logos Verlag Berlin
M. Petrera, Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes, 2013, Logos Verlag Berlin
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):
M. Petrera, J. Smirin, Yu.B. Suris, Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
M. Petrera, Yu.B. Suris, New results on integrability of the Kahan-Hirota-Kimura discretizations
M. Petrera, Yu.B. Suris, Variational symmetries and pluri-Lagrangian systems in classical mechanics
M. Petrera, Yu.B. Suris, A construction of a large family of commuting pairs of integrable symplectic birational 4-dimensional maps
M. Petrera, Yu.B. Suris, On the classification of multidimensionally consistent 3D maps
M. Petrera, R. Zander, New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations
M. Petrera, A. Pfadler, Yu.B. Suris, On the construction of elliptic solutions of integrable birational maps
R. Boll, M. Petrera, Yu.B. Suris, On the variational interpretation of the discrete KP equation
R. Boll, M. Petrera, Yu.B. Suris, On integrability of discrete variational systems. Octahedron relations
R. Boll, M. Petrera, Yu.B. Suris, Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems
R. Boll, M. Petrera, Yu.B. Suris, What is integrability of discrete variational systems?
R. Boll, M. Petrera, Yu.B. Suris, Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Toda-type systems
M. Petrera, Yu.B. Suris, S. Kovalevskaya system, its generalization and discretization
M. Petrera, Yu.B. Suris, Spherical geometry and integrable systems
M. Petrera, A. Pfadler, Yu.B. Suris, On integrability of Hirota-Kimura type discretizations
M. Petrera, Yu.B. Suris, On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
D. Levi, M. Petrera, C. Scimiterna, Multiscale reduction of discrete nonlinear Schroedinger equation
M. Petrera, A. Pfadler, Yu.B. Suris, On integrability of Hirota-Kimura type discretizations. Experimental study of the discrete Clebsch system
A.N.W. Hone, M. Petrera, Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras
D. Levi, M. Petrera, C. Scimiterna, R. Yamilov, On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations
R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion and integrability properties of the lattice potential KdV equation
D. Levi, M. Petrera, C. Scimiterna, On the integrability of the discrete nonlinear Schroedinger equation
M. Petrera, Yu.B. Suris, An integrable discretization of the rational su(2) Gaudin model and related systems
R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion on the lattice and integrability of partial difference equations
R. Heredero, D. Levi, M. Petrera, C. Scimiterna, Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order
D. Levi, M. Petrera, C. Scimiterna, The lattice Schwarzian KdV equation and its symmetries
D. Levi, M. Petrera, Continuous symmetries of the lattice potential KdV equation
M. Petrera, O. Ragnisco, From su(2) Gaudin models to integrable tops
Xiaoda Ji, D. Levi, M. Petrera, Multiscale expansion of the lattice sine-Gordon equation
D. Levi, M. Petrera, Discrete reductive perturbation technique
F. Musso, M. Petrera, O. Ragnisco, G. Satta, Bäcklund transformations for the rational Lagrange chain
F. Musso, M. Petrera, O. Ragnisco, G. Satta, A rigid body dynamics derived from a class of extended Gaudin models: an integrable discretization
F. Musso, M. Petrera, O. Ragnisco, G. Satta, Gaudin models with U_q(osp(1,2)) symmetry
F. Musso, M. Petrera, O. Ragnisco, Algebraic extensions of Gaudin models
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