Results 71 to 80 of about 1,118,392 (164)
Persistence of Heteroclinic Cycles Connecting Repellers in Banach Spaces
Journal of Mathematics, 2022 This paper is concerned with persistence of heteroclinic cycles connecting repellers in Banach spaces. It is proved that if a map with a regular and nondegenerate heteroclinic cycle connecting repellers undergoes a small perturbation, then the perturbed map can still have a regular and nondegenerate heteroclinic cycle connecting repellers.
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Heteroclinic connections for multiple-well potentials: the anisotropic case [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2008 We investigate the existence of solutions to systems of N differential equations representing connections between minima of potentials with several equal depths in ℝn. Using variational techniques and in particular a method introduced by Alikakos and Fusco we first prove such existence for N ≥ 2 and two minima.
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World War Memorial rotunda at Ohio State Museum
, 1940 This photograph shows two men at the "War Today" exhibit at the Ohio State Museum, meant to teach visitors about the current world conflict. The building pictured, also called Sullivant Hall, is located at Fifteenth Avenue and North High Street and was ...
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Heteroclinic Connections for Fractional Allen-Cahn Equations with Degenerate Potentials
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZEWe investigate existence, uniqueness and asymptotic behavior of minimizers of a family of non-local energy functionals of the type $$ \frac{1}{4}\iint_{\mathbb{R}^{2n}\setminus (\mathbb{R}^n \setminus Ω)^2}|u(x)-u(y)|^2 K(x-y) \,dx dy + \int_ΩW(u(x)) \,dx.
De Pas, Francesco +3 more
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Ohio History Center Groundbreaking photographs
, 1966 Governor James Rhodes used an Ohio-shaped shovel to turn the first earth for the new Ohio History Center, shown here on on August 22, 1966. The Ohio Historical Society (now the Ohio History Connection) moved to the new building, located near the Ohio ...
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Ohio Historical Society Communication Exhibit photograph
, 1970 This photograph documents visitors to the Ohio Historical Society's exhibit on communication. The exhibit was one of the first to open in the new Ohio History Center in 1970. The photograph measures 9.5" x 7.5" (24.13 x 19.05 cm). Founded in 1885, the
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Heteroclinic networks for brain dynamics. [PDF]
Front Netw Physiol, 2023 Meyer-Ortmanns H.
europepmc +1 more source
Heteroclinic Connections for the Swift-Hohenberg Equation with Multi-wells Potentials
Advanced Nonlinear Studies, 2014 Abstract Given a C 2 nonnegative potential F with a discrete set of zeros we consider the existence of heteroclinics connecting two arbitrary zeros of F for the Swift-Hohenberg equation, i.e. uʺʺ− βuʺ + Fʹ (u) = 0, for β
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Chaotic and deterministic switching in a two-person game [PDF]
We study robust long-term complex behaviour in the Rock-Scissors-Paper game with two players, played using reinforcement learning. The complex behaviour is connected to the existence of a heteroclinic network for the dynamics.
Manuela A. D. Aguiar +1 more
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Ohio Historical Center Doughboy statue
, 1970 This statue of a World War I American soldier by sculptor Bruce Wilder Saville sits on the lawn of the Ohio History Center in Columbus, Ohio. Saville, a professor at The Ohio State University, cast the scuplture, named "The Victorius Doughboy" in 1924 to
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