Multiplicity of periodic solution with prescribed energy to singular dynamical systems
Multiplicity of Subharmonic solutions of Forces Hamiltonian systems near an equilibrium.
Multiplicity-free complex manifolds.
Multipulse chaotic dynamics for a laminated composite piezoelectric plate.
Multistage evolutionary model for carcinogenesis mutations.
Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation.
Multivalued Lyapunov functions for homeomorphisms of the 2-torus
Let F be a homeomorphism of 𝕋² = ℝ²/ℤ² isotopic to the identity and f a lift to the universal covering space ℝ². We suppose that κ ∈ H¹(𝕋²,ℝ) is a cohomology class which is positive on the rotation set of f. We prove the existence of a smooth Lyapunov function of f whose derivative lifts a non-vanishing smooth closed form on 𝕋² whose cohomology class is κ.
Multivariate smooth transition AR model with aggregation operators and application to exchange rates
An overview of multivariate modelling based on logistic and exponential smooth transition models with transition variable generated by aggregation operators and orders of auto and exogenous regression selected by information criterion separately for each regime is given. Model specification procedure is demonstrated on trivariate exchange rates time series. The application results show satisfactory improvement in fit when particular aggregation operators are used. Source code in the form of Mathematica...
-wave equations with orthogonal algebras: and reductions and soliton solutions.
Nambu-Lie group actions.
Nambu-Lie groups.
Nambu-Poisson structures and their foliations.
Natural Lagrangian structures
Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations.
Neimark-Sacker bifurcation in a discrete-time financial system.
Nekhoroshev estimates for quasi-convex hamiltonian systems.
Nekhoroshev stability for the D’Alembert problem of Celestial Mechanics
The classical D’Alembert Hamiltonian model for a rotational oblate planet revolving near a «day-year» resonance around a fixed star on a Keplerian ellipse is considered. Notwithstanding the strong degeneracies of the model, stability results a là Nekhoroshev (i.e. for times which are exponentially long in the perturbative parameters) for the angular momentum of the planet hold.
Neumann system and hyperelliptic functions.
New algebras of functions on topological groups arising from G-spaces
For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP(G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urysohn space of diameter 1, we show that SUC(G) is trivial. We introduce the notion of fixed point on a class...
New criteria for canonical number systems