Multiple periodic solutions to nonlinear discrete Hamiltonian systems.
Multiple return times theorems for weakly mixing systems
Multiple Rokhlin tower theorem: A simple proof.
Multiple solutions of indefinite elliptic systems via a Galerkin-type Conley index theory
Let Ω be a bounded domain in with smooth boundary. Consider the following elliptic system: in Ω, in Ω, u = 0, v = 0 in ∂Ω. (ES) We assume that H is an even "-"-type Hamiltonian function whose first order partial derivatives satisfy appropriate growth conditions. We show that if (0,0) is a hyperbolic solution of (ES), then (ES) has at least 2|μ| nontrivial solutions, where μ = μ(0,0) is the renormalized Morse index of (0,0). This proves a conjecture by Angenent and van der Vorst.
Multiplicative integrable models from Poisson-Nijenhuis structures
We discuss the role of Poisson-Nijenhuis (PN) geometry in the definition of multiplicative integrable models on symplectic groupoids. These are integrable models that are compatible with the groupoid structure in such a way that the set of contour levels of the hamiltonians in involution inherits a topological groupoid structure. We show that every maximal rank PN structure defines such a model. We consider the examples defined on compact hermitian symmetric spaces studied by F. Bonechi, J. Qiu...
Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes
Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
We prove the existence of infinitely many geometrically distinct homoclinic orbits for a class of asymptotically periodic second order Hamiltonian systems.
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