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Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]

Sci Rep
Alam MN, Ahmed SF, Ismael HF, Firdi MD, Badruddin IA, Javed S.   +5 more
europepmc   +1 more source

Equivariant geometric convolutions for dynamical systems on vector and tensor images. [PDF]

Philos Trans A Math Phys Eng Sci
Gregory WG, Hogg DW, Blum-Smith B, Arias MT, Wong KWK, Villar S.   +5 more
europepmc   +1 more source

Universal dense-open windows for generic conservative surface semigroups and graph-directed local systems

Shmalo Y.
europepmc   +1 more source

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The Disjoint Path Covers of Two-Dimensional Torus Networks

2018 15th International Symposium on Pervasive Systems, Algorithms and Networks (I-SPAN), 2018
Two-dimensional torus network has been widely applied in large-scale network topology distribution systems. This paper considered the disjoint path cover problems for two-dimensional torus network. It proved that any two-dimensional torus network has one-to-many 3-disjoint path covers and bipartite two-dimensional torus network has many-to-many 3 ...

exaly   +2 more sources

Winding number locking on a two-dimensional torus: Synchronization of quasiperiodic motions [PDF]

Physical Review E, 2006
We propose a new autonomous dynamical system of dimension N = 4 that demonstrates the regime of stable two-frequency motions and period-doubling bifurcations of a two-dimensional torus. It is shown that the period-doubling bifurcation of the two-dimensional torus is not followed by the resonance phenomenon, and the two-dimensional ergodic torus ...
Anishchenko, Vadim S., Nikolaev, S, Kurths, Jürgen (Prof. Dr.)   +2 more
openaire   +3 more sources

Independent Linear Statistics on the Two-Dimensional Torus

Theory of Probability and Its Applications, 2008
Let $X={\bf T}^2$ be the two-dimensional torus, ${\rm Aut}({\bf T}^2)$ be the group of topological automorphisms of ${\bf T}^2$, $\Gamma({\bf T}^2)$ be the set of Gaussian distributions on ${\bf T}^2$, and $\xi_1,\xi_2$ be independent random variables taking on values in ${\bf T}^2$ and having distributions $\mu_j$ with the nonvanishing characteristic ...
Margaryta Myronyuk, G M Feldman
exaly   +2 more sources

On -endomorphisms of the two-dimensional torus

Sbornik: Mathematics, 2021
Abstract It is proved that in each homotopy class of continuous mappings of the two-dimensional torus to itself that induce a hyperbolic action on the fundamental group, as long as it is free of expanding mappings, there exists an
Grines, Vyacheslav Z., Zhuzhoma, Evgenii V., Kurenkov, Evgeny D.   +2 more
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POLYNOMIAL INTEGRALS OF GEODESIC FLOWS ON A TWO-DIMENSIONAL TORUS

Russian Academy of Sciences. Sbornik Mathematics, 1995
The paper points out the relationship between the geodesic flow on the two-dimensional torus and the qualitative properties of some integrals associated to a suitable Hamiltonian systems.
Kozlov, V. V., Denisova, N. V.
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ON THE METRIC THEORY OF AUTOMORPHISMS OF THE TWO-DIMENSIONAL TORUS

Mathematics of the USSR-Izvestiya, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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