On certain statistical properties of continued fractions with even and with odd partial quotients
On certain weighted moving averages and their differentiation analogues.
On chaotic dynamics in rational polygonal billiards.
On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
In a simple FitzHugh-Nagumo neuronal model with one fast and two slow variables, a sequence of period-doubling bifurcations for small-scale oscillations precedes the transition into the spiking regime. For a wide range of values of the timescale separation parameter, this scenario is recovered numerically. Its relation to the singularly perturbed integrable system is discussed.
On characterization of the solution set in case of generalized semiflow
In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined....
On circle map coupled map lattice.
On classical dynamics of affinely-rigid bodies subject to the Kirchhoff-Love constraints.
On classical intrinsically resonant formal perturbation theory
On classical -matrix for the Kowalevski gyrostat on .
On classical series expansions for quasi-periodic motions.
On closed subgroups of the group of homeomorphisms of a manifold
Let be a triangulable compact manifold. We prove that, among closed subgroups of (the identity component of the group of homeomorphisms of ), the subgroup consisting of volume preserving elements is maximal.
On codimension one submersions of euclidean spaces.
On common fixed points, periodic points, and recurrent points of continuous functions.
On commuting circle mappings and simultaneous Diophantine approximations.
On commuting differential operators.
On commuting matrix differential operators.
On commuting polynomial automorphisms of C2.
We charocterize the commuting polynomial automorphisms of C2, using their meromorphic extension to P2 and looking at their dynamics on the line at infinity.
On commuting properties of endomorphisms of formal A-modules over finite fields
On complexification and iteration of quasiregular polynomials which have algebraic degree two
We prove that each degree two quasiregular polynomial is conjugate to Q(z) = z² - (p+q)|z|² + pqz̅² + c, |p| < 1, |q| < 1. We also show that the complexification of Q can be extended to a polynomial endomorphism of ℂℙ² which acts as a Blaschke product (z-p)/(1-p̅z) · (z-q)/(1-q̅z) on ℂℙ²∖ℂ². Using this fact we study the dynamics of Q under iteration.
On computer-aided solving differential equations and stability study of markets.