A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. II.
A study of the dynamic of influence through differential equations∗
The paper concerns a model of influence in which agents make their decisions on a certain issue. We assume that each agent is inclined to make a particular decision, but due to a possible influence of the others, his final decision may be different from his initial inclination. Since in reality the influence does not necessarily stop after one step, but may iterate, we present a model which allows us to study the dynamic of influence. An innovative...
A study of the dynamic of influence through differential equations∗
The paper concerns a model of influence in which agents make their decisions on a certain issue. We assume that each agent is inclined to make a particular decision, but due to a possible influence of the others, his final decision may be different from his initial inclination. Since in reality the influence does not necessarily stop after one step, but may iterate, we present a model which allows us to study the dynamic of influence. An innovative...
A study of the Rimmer bifurcation of symmetric fixed points of reversible diffeomorphisms.
A study of the temperature dependence of bienzyme systems and enzymatic chains.
A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics
In this report, a control method for the stabilization of periodic orbits for a class of one- and two-dimensional discrete-time systems that are topologically conjugate to symbolic dynamical systems is proposed and applied to a population model in an ecosystem and the Smale horseshoe map. A periodic orbit is assigned as a target by giving a sequence in which symbols have periodicity. As a consequence, it is shown that any periodic orbits can be globally stabilized by using arbitrarily small control...
A study on the relationship between connecting different types of nodes and disassortativity by degree.
A subshift of finite type in the Takens-Bogdanov bifurcation with symmetry.
A sufficient condition for the existence of multiple periodic solutions of differential inclusions
A sufficient condition for -stability of vector fields on open manifolds
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
A survey of Nambu-Poisson geometry.
A survey of random processes with reinforcement.
A survey of results on density modulo of double sequences containing algebraic numbers
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results.
A survey on Nambu-Poisson brackets.
A survey on transitivity in discrete time dynamical systems. application to symbolic systems and related languages
The main goal of this paper is the investigation of a relevant property which appears in the various definition of deterministic topological chaos for discrete time dynamical system: transitivity. Starting from the standard Devaney's notion of topological chaos based on regularity, transitivity, and sensitivity to the initial conditions, the critique formulated by Knudsen is taken into account in order to exclude periodic chaos from this definition. Transitivity (or some stronger versions of it)...
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A symplectic fixed point theorem for ...Cpn.
A Symplectic Rigidity Theorem.
A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.