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COMMUNICATIONS IN MATHEMATICAL PHYSICS, ISSN 0010-3616, 02/2020, Volume 374, Issue 1, pp. 63 - 110
The planar (n + 1)-body problem models the motion of n + 1 bodies in the plane under their mutual Newtonian gravitational attraction forces. When n >= 3, the... 
PHYSICS, MATHEMATICAL | THEOREM | DIMENSIONAL INVARIANT-MANIFOLDS | PARAMETERIZATION METHOD | Mathematics - Dynamical Systems | Sistemes hamiltonians | Hamiltonian systems | Matemàtiques i estadística | Many-body problem | Problema dels cossos múltiples | Àrees temàtiques de la UPC
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 12/2019, Volume 123, Issue 26, p. 260405
Synthetic spaces allow physicists to bypass constraints imposed by certain physical laws in experiments. Here, we show that a synthetic torus, which consists... 
PHYSICS, MULTIDISCIPLINARY | QUANTUM | EDGE STATES | Magnetic flux | Toruses | Beams (radiation) | Energy spectra | Gaussian beams (optics) | Lattices | Physicists | Periodic variations | Cylinders | Wave packets | Physics - Quantum Gases
Journal Article
Discrete Mathematics, ISSN 0012-365X, 07/2013, Volume 313, Issue 13, pp. 1436 - 1440
Recently, Bieñ [A. Bieñ, The problem of singularity for planar grids, Discrete Math. 311 (2011) 921–931] obtained a recursive formula for the determinant of a... 
Cylinder | Möbius ladder | Determinant | Torus | Cartesian product | Grid | MATHEMATICS | Mobius ladder
Journal Article
Soft Matter, ISSN 1744-683X, 01/2019, Volume 15, Issue 6, pp. 1210 - 1214
Many liquid crystalline systems display spontaneous breaking of achiral symmetry, as achiral molecules aggregate into large chiral domains. In confined... 
Crystals | Mechanical properties | Boundary conditions | Modulus of elasticity | Boundaries | Liquid crystals | Texture | Free energy | Domains | Toruses | Energy conservation | Elastic properties | Confining | Capillaries | Cylinders
Journal Article
Applied Sciences (Switzerland), ISSN 2076-3417, 10/2017, Volume 7, Issue 11, p. 1108
We present the results of axisymmetric and three-dimensional numerical simulations of the flow around a torus in the low Reynolds number regime [10−2 ; 3×103]... 
Direct numerical simulation | Vortex dynamics | Viscous flows | Toruses | Axisymmetric | Computational fluid dynamics | Computer simulation | Low Reynolds number flow | Reynolds number | Vorticity | Fluid flow | Aspect ratio | Circular cylinders | Flow | viscous flows | direct numerical simulation | vortex dynamics
Journal Article
APPLIED SCIENCES-BASEL, ISSN 2076-3417, 11/2017, Volume 7, Issue 11
We present the results of axisymmetric and three- dimensional numerical simulations of the flow around a torus in the low Reynolds number regime [10(-2); 3 x... 
direct numerical simulation | PHYSICS, APPLIED | MOTION | CIRCULAR-CYLINDERS | PAST RINGS | SPHERES | MATERIALS SCIENCE, MULTIDISCIPLINARY | vortex dynamics | viscous flows | CHEMISTRY, MULTIDISCIPLINARY
Journal Article
by íóá and Pablo Mira and é
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2011, Volume 363, Issue 12, pp. 6549 - 6573
We describe the space of isometric immersions from the Lorentz plane \mathbb{L}^2-space \mathbb{H}_1^3 \mathbb{H}_1^3 \mathbb{H}^2 
Geometry | Geometric planes | Lie groups | Coordinate systems | Flat surfaces | Curvature | Pastors | Closed curves | Cylinders | Antide sitter space | Isometric immersions | Lorentzian flat tori | Timelike flat surfaces | MATHEMATICS | Time like flat surfaces | FRONTS | SINGULARITIES | anti-de Sitter space | 3-SPHERE | S-3 | isometric immersions | SURFACES
Journal Article
Networks, ISSN 0028-3045, 08/2011, Volume 58, Issue 1, pp. 43 - 49
A set S of vertices is defined to be a power dominating set (PDS) of a graph G if every vertex and every edge in G can be monitored by the set S according to a... 
cylinder | generalized Petersen graphs | torus | power domination | grid | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COMPLEXITY
Journal Article
Mechanism and Machine Theory, ISSN 0094-114X, 2011, Volume 46, Issue 4, pp. 412 - 424
An analysis of a mechanism that involves a higher pair in the form of two tori contacting each other superficially at one point is described in this paper. The... 
Sphere | Cylinder | Higher pair | Lower pair | Synthesis | Kinematically equivalent mechanisms | Assembly configurations | Torus | Analysis | ENGINEERING, MECHANICAL | Links | Mathematical models | Equivalence | Mathematical analysis | Kinematics
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 3/2010, Volume 37, Issue 3, pp. 329 - 344
We prove the existence of nontrivial compact extremal domains for the first eigenvalue of the Laplacian in manifolds $${\mathbb{R}^{n}\times \mathbb{R}{/}T\,... 
Calculus of Variations and Optimal Control; Optimization | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Analysis | 53C21 | 35N25 | Mathematics | 37G10 | MATHEMATICS | MATHEMATICS, APPLIED | Manifolds | Mathematical analysis | Eigenvalues | Dirichlet problem | Boundaries | Translations | Invariants | Cylinders | Differential Geometry | Analysis of PDEs
Journal Article
physica status solidi (b), ISSN 0370-1972, 02/2005, Volume 242, Issue 2, pp. 285 - 290
The carbon tori and nanotubes, either pure or hole‐doped, are examined. In the two achiral (zigzag and armchair) systems the momentum lines are parallel to the... 
73.22.–f | 73.63.Fg | 73.23.Ra | PHYSICS, CONDENSED MATTER | SINGLE | CYLINDER | PERSISTENT CURRENTS | BEHAVIOR | RINGS | MAGNETIC-PROPERTIES
Journal Article
Journal of Differential Geometry, ISSN 0022-040X, 2013, Volume 94, Issue 3, pp. 367 - 385
We prove flatness of complete Riemannian planes and cylinders without conjugate points under optimal conditions on the area growth. 
MATHEMATICS | MANIFOLDS | CYLINDERS | THEOREM | TORI
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2001, Volume 156, Issue 1, pp. 81 - 97
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2000, Volume 85, Issue 5, pp. 972 - 975
Three-tori solutions of the Navier-Stokes equations and their dynamics are elucidated by use of a global Poincare map. The flow is contained in a finite... 
ATTRACTORS | CHAOS | TAYLOR-COUETTE FLOW | SYMMETRY | QUASIPERIODICITY | PHYSICS, MULTIDISCIPLINARY | INNER CYLINDER | EQUATIONS | SYSTEMS | 3-FREQUENCY QUASI-PERIODICITY | PHASE LOCKING
Journal Article
Conference Proceeding
International Journal of Mechanical Sciences, ISSN 0020-7403, 06/2018, Volume 141, pp. 58 - 77
•New and simple design criterion for spherical shells under external pressure.•Detailed studies regarding elastic-imperfect and plastic-imperfect... 
Spherical shell | Tori spherical bulkhead | Knockdown factor | ESC-A | Orthogrid stiffened sphere | Imperfection sensitivity | Buckling | Robust design | Plastic buckling | AXIAL-COMPRESSION | STIFFENED SHELLS | STABILITY | PERTURBATION LOAD APPROACH | CFRP TRUNCATED CONES | SIMULATION | ENGINEERING, MECHANICAL | MECHANICS | CYLINDERS | OPTIMIZATION | CYLINDRICAL-SHELLS
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 07/2017, Volume 353, Issue 2, pp. 507 - 547
We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. We prove that... 
TRANSITION | UNBOUNDED ENERGY | INSTABILITY | PERIODIC PERTURBATIONS | DYNAMICAL-SYSTEMS | INVARIANT TORI | HAMILTONIAN-SYSTEMS | ORBITS | CHAINS | PHYSICS, MATHEMATICAL | RESONANCES
Journal Article
Ars Combinatoria, ISSN 0381-7032, 07/2018, Volume 140, pp. 251 - 265
We study incidence coloring of graphs in which adjacent vertices are distinguished by their sets of the colors which assigned to their incidences and show that... 
Grids | Adjacent vertex distinguishing incidence coloring | Cylinders and tori | Adjacent vertex distinguishing incidence chromatic number | cylinders and tori | MATHEMATICS | grids | adjacent vertex distinguishing incidence chromatic number | GRAPHS
Journal Article
Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 02/1999, Volume 303, Issue 1, pp. 107 - 115
ABSTRACT With respect to the stability of accretion tori, the linear stability of viscous compressible cylindrical annuli rotating in an external potential and... 
waves | hydrodynamics | turbulence | accretion, accretion discs | instabilities | Hydrodynamics | Turbulence | Instabilities | Waves | Accretion, accretion discs | DIFFERENTIALLY ROTATING-DISKS | ANGULAR-MOMENTUM | BLACK-HOLE | FLOW | MODES | CYLINDERS | ASTRONOMY & ASTROPHYSICS | 3-DIMENSIONAL SIMULATIONS | DYNAMICAL STABILITY
Journal Article
CAMBRIDGE JOURNAL OF MATHEMATICS, ISSN 2168-0930, 2017, Volume 5, Issue 2, pp. 153 - 228
In this paper, we study time-periodic perturbation of classical systems with two degrees of freedom. A transition chain is established, by passing through... 
MATHEMATICS | NON-DEGENERACY | MECHANISM | CYLINDERS | TORI | CONNECTING ORBITS | SETS | SYSTEMS | DIFFUSION | HOMOCLINIC ORBITS | POINTS
Journal Article
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