Inhomogeneous approximation with coprime integers and lattice orbits
Inhomogeneous Diophantine approximation with general error functions
Let α be an irrational and φ: ℕ → ℝ⁺ be a function decreasing to zero. Let
Initial boundary value problem for the mKdV equation on a finite interval
We analyse an initial-boundary value problem for the mKdV equation on a finite interval by expressing the solution in terms of the solution of an associated matrix Riemann-Hilbert problem in the complex -plane. This RH problem is determined by certain spectral functions which are defined in terms of the initial-boundary values at and . We show that the spectral functions satisfy an algebraic “global relation” which express the implicit relation between all boundary values in terms of spectral...
Initial data stability and admissibility of spaces for Itô linear difference equations
The admissibility of spaces for Itô functional difference equations is investigated by the method of modeling equations. The problem of space admissibility is closely connected with the initial data stability problem of solutions for Itô delay differential equations. For these equations the -stability of initial data solutions is studied as a special case of admissibility of spaces for the corresponding Itô functional difference equation. In most cases, this approach seems to be more constructive...
Initial powers of Sturmian sequences
In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps.
Instability of equilibria in dimension three
In this paper we show that if is an analytic vector field on having an isolated singular point at 0, then there exists a trajectory of which converges to 0 in the past or in the future. The proof is based on certain results concerning desingularizaton of vector fields in dimension three and on index-type arguments à la Poincaré-Hopf.
Instability of symmetric stationary states for some nonlinear Schrödinger equations with an external magnetic field
Integer sequences and periodic points.
Intégrabilité et non-intégrabilité de systèmes hamiltoniens
Integrability and beyond
Integrability and diffeomorphisms on target space.
Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case.
Integrability of hamiltonian systems and differential Galois groups of higher variational equations
Integrable analytic vector fields with a nilpotent linear part
We study the normalization of analytic vector fields with a nilpotent linear part. We prove that such an analytic vector field can be transformed into a certain form by convergent transformations when it has a non-singular formal integral. We then prove that there are smoothly linearizable parabolic analytic transformations which cannot be embedded into the flows of any analytic vector fields with a nilpotent linear part.
Integrable anisotropic evolution equations on a sphere.
Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy.
Integrable dynamical systems obtained by duplication
Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces.
Integrable Hamiltonian systems on Lie groups: Kowalewski type.