Results 31 to 40 of about 166,810 (242)
Statistical properties of periodic orbits in 4-disk billiard system: pruning-proof property [PDF]
, 2005 Periodic orbit theory for classical hyperbolic system is very significant matter of how we can interpret spectral statistics in terms of semiclassical theory. Although pruning is significant and generic property for almost all hyperbolic systems, pruning-
Alekseev +67 more
core +1 more source
The American Mathematical Monthly, 1920 Mode of access: Internet.
Moulton, Forest Ray, 1872-1952. +5 more
openaire +1 more source
Piecewise expanding maps: combinatorics, dynamics and representation of rational numbers
ESAIM: Proceedings and Surveys, 2014 We establish combinatorial properties of the dynamics of piecewise increasing, continuous, expanding maps of the interval such as description of periodic and pre-periodic points, primitiveness of truncated itineraries and length of ...
Serpa Cristina, Buescu Jorge
doaj +1 more source
Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation [PDF]
Journal of Mahani Mathematical Research, 2023 We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
doaj +1 more source
Optimal Stabilization of Periodic Orbits
IFAC-PapersOnLine, 2023 Submitted for a journal on November 29 ...
Beck, Fabian, Sakamoto, Noboru
openaire +3 more sources
Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
doaj +1 more source
Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function
Mathematics, 2020 The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift.
Azmeer Nordin, Mohd Salmi Md Noorani
doaj +1 more source
Periodic Patterns in Orbits of Certain Linear Cellular Automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We discuss certain linear cellular automata whose cells take values in a finite field. We investigate the periodic behavior of the verticals of an orbit of the cellular automaton and establish that there exists, depending on the characteristic of the ...
André Barbé, Fritz Haeseler
doaj +1 more source
Poincaré Map for Discontinuous Fractional Differential Equations
Mathematics, 2022 We work with a perturbed fractional differential equation with discontinuous right-hand sides where a discontinuity function crosses a discontinuity boundary transversally.
Ivana Eliašová, Michal Fečkan
doaj +1 more source
Analytic normalization of analytically integrable differential systems near a periodic orbit
, 2014 For an analytic differential system in $\mathbb R^n$ with a periodic orbit, we will prove that if the system is analytically integrable around the periodic orbit, i.e.
Wu, Kesheng, Zhang, Xiang
core +1 more source