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Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 25
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 07/2018, Volume 376, Issue 2124, p. 20170384
A global framework for treating nonlinear differential dynamical systems is presented. It rests on the fact that most systems can be transformed into the... 
Nonlinear dynamics | Taylor series | Lie algebra | Lotka-Volterra | Urn process | Canonical form | urn process | STABILITY ANALYSIS | INVARIANTS | MULTIDISCIPLINARY SCIENCES | QUASI-POLYNOMIAL SYSTEMS | canonical form | DIFFERENTIAL-EQUATIONS | LOTKA-VOLTERRA EQUATIONS | nonlinear dynamics
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 02/2014, Volume 443, pp. 245 - 259
We present an alternative account of the problem of classifying and finding normal forms for arbitrary bilinear forms. Beginning from basic results developed... 
Bilinear forms | Congruence | Canonical forms | CONJUNCTIVITY | MATHEMATICS | SESQUILINEAR FORMS | MATHEMATICS, APPLIED | MATRICES | FIELD | CLASSIFICATION | SYSTEMS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 06/2017, Volume 348, pp. 12 - 32
•An extension of Ref. [15] to the case of noncanonical coordinates.•Detailed description of normal form expansions in variational approaches to quantum... 
Poincaré–Birkhoff normal form | Quantum dynamics | Canonical coordinate | Poincare-Birkhoff normal form | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | DECAY-RATES | PHYSICS, MATHEMATICAL | TRANSITION-STATE THEORY | Quantum theory
Journal Article
Physics Letters B, ISSN 0370-2693, 06/2018, Volume 781, pp. 270 - 278
Feynman integrals are easily solved if their system of differential equations is in ε-form. In this letter we show by the explicit example of the kite integral... 
RECURRENCE RELATIONS | QUASIMODULAR FORMS | PHYSICS, NUCLEAR | SUNRISE GRAPH | MASTER INTEGRALS | DIAGRAMS | SPACE | ASTRONOMY & ASTROPHYSICS | CANONICAL BASIS | ARBITRARY MASSES | AMPLITUDES | SELF-ENERGY | PHYSICS, PARTICLES & FIELDS | High Energy Physics - Theory | High Energy Physics - Phenomenology | Physics
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 06/2018, Volume 27, Issue 8, p. 1850085
Classical equivalence between Jordan’s and Einstein’s frame counterparts of F ( R ) theory of gravity has recently been questioned, since the two produce... 
Einstein's frame | F (R) theory | equivalence | Lagrangian multiplier technique | Jordan's frame | TRANSFORMATION | EINSTEIN-HILBERT ACTION | VIABILITY | DARK ENERGY | F(R) theory | COSMOLOGY | MODELS | SPHERICALLY SYMMETRIC-SOLUTIONS | ASTRONOMY & ASTROPHYSICS | SINGULARITY | NOETHER SYMMETRY | HISTORY | Gravity
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2018, Volume 51, Issue 39
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 531, pp. 533 - 536
In the note, all indecomposable canonical forms of linear systems with dimension less than or equals to 4 are determined based on Belitskii's algorithm. 
Linear dynamical system | Indecomposability | Belitskii's canonical form | MATHEMATICS | MATHEMATICS, APPLIED | Linear systems
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 04/2020, Volume 590, pp. 32 - 61
Motivated by a problem in local differential geometry of Cauchy–Riemann (CR) structures of hypersurface type, we find a canonical form for pairs consisting of... 
Antilinear operators | Uniformly Levi degenerate CR structures | Pencils | Canonical forms | Indefinite Hermitian forms | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Operators (mathematics) | Hyperspaces | Differential geometry
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 03/2019, Volume 565, pp. 177 - 207
This paper collects results about Riordan arrays in the framework of matrix functions; actually, the following methodology applies to any square matrix m×m... 
Hermite interpolating polynomials | Matrices functions | Riordan arrays | Jordan canonical forms | MATHEMATICS | MATHEMATICS, APPLIED | Functions (mathematics) | Eigenvalues | Hermite polynomials | Mathematical analysis | Canonical forms
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2018, Volume 461, Issue 2, pp. 1308 - 1326
In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex... 
Complex points | Simultaneous reduction | CR manifolds | Normal forms | MATHEMATICS, APPLIED | C-N | LOCAL HULL | REAL SURFACES | HOLOMORPHY | CONSIMILARITY | CANONICAL FORM | MATHEMATICS | LEVI-FLAT HYPERSURFACES | NONSINGULAR PENCIL | HERMITIAN MATRICES | TRANSFORMATIONS | Mathematics - Complex Variables
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 02/2020, Volume 81, p. 105012
•Global connections in the Z2-symmetric Takens-Bogdanov normal form are studied.•A very efficient iterative procedure with the nonlinear time transformation... 
Global connection | Perturbation method | Nonlinear time transformation | Takens-Bogdanov bifurcation
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2017, Volume 38, Issue 2, pp. 656 - 681
Journal Article
Automatica, ISSN 0005-1098, 07/2013, Volume 49, Issue 7, pp. 2192 - 2198
Journal Article
International Journal of Computer Vision, ISSN 0920-5691, 3/2013, Volume 102, Issue 1, pp. 221 - 238
Journal Article