Results 1 to 10 of about 20,784,699 (275)
Normal forms for symplectic matrices [PDF]
Portugaliae Mathematica, 2014 We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in \{ -1,0,1\}
J. Gutt
semanticscholar +8 more sources
The use of normal forms for analysing nonlinear mechanical vibrations. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 A historical introduction is given of the theory of normal forms for simplifying nonlinear dynamical systems close to resonances or bifurcation points. The specific focus is on mechanical vibration problems, described by finite degree-of-freedom second ...
Neild SA +4 more
europepmc +2 more sources
Normal Forms for Kummer Surfaces [PDF]
Integrable Systems and Algebraic Geometry, 2018 We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$.
A. Clingher, Andreas Malmendier
semanticscholar +3 more sources
Volume-preserving normal forms of Hopf-zero singularity [PDF]
, 2012 A practical method is described for computing the unique generator of the algebra of first integrals associated with a large class of Hopf-zero singularity.
M. Gazor, Fahimeh Mokhtari
semanticscholar +5 more sources
Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems [PDF]
, 2014 The aim of this paper is to study the normal forms of nonautonomous differential systems. For doing so, we first investigate the nonuniform dichotomy spectrum of the linear evolution operators that admit a nonuniform exponential dichotomy, where the ...
Xiang Zhang
semanticscholar +4 more sources
Conservation laws and normal forms of evolution equations [PDF]
, 2010 We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws.
R. Popovych, Artur Sergyeyev
semanticscholar +3 more sources
Planetary Birkhoff normal forms
Journal of Modern Dynamics, 2011 Birkhoff normal forms for the (secular) planetary problem are investigated. Existence and uniqueness is discussed and it is shown that the classical Poincare variables and the ʀᴘs-variables (introduced in [6]), after a trivial lift, lead to the same Birkhoff normal form; as a corollary the Birkhoff normal form (in Poincare variables) is degenerate
Chierchia L., Pinzari G.
openaire +5 more sources
Normal forms for reduced stochastic climate models. [PDF]
Proc Natl Acad Sci U S A, 2009 Majda AJ, Franzke C, Crommelin D.
europepmc +2 more sources
Rational Normal Forms and Stability of Small Solutions to Nonlinear Schrödinger Equations [PDF]
Annals of PDE, 2018 We consider general classes of nonlinear Schrödinger equations on the circle with nontrivial cubic part and without external parameters. We construct a new type of normal forms, namely rational normal forms, on open sets surrounding the origin in high ...
J. Bernier, E. Faou, B. Grébert
semanticscholar +1 more source
On the divergence of Birkhoff Normal Forms [PDF]
Publications mathématiques (Bures-sur-Yvette), 2019 It is well known that a real analytic symplectic diffeomorphism of the 2 d $2d$ -dimensional disk ( d ≥ 1 $d\geq 1$ ) admitting the origin as a non-resonant elliptic fixed point can be formally conjugated to its Birkhoff Normal Form, a formal power ...
Raphaël Krikorian
semanticscholar +1 more source