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Saddled by the saddle nose: A case of wegener's granulomatosis
Published 2024-01-01Subjects: Get full text
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Blowout bifurcation of chaotic saddles
Published 1999-01-01“…Chaotic saddles are nonattracting dynamical invariant sets that can lead to a variety of physical phenomena. …”
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A tale of two saddles
Published 2022“…As part of our analysis, we give an LM-style construction for computing the on-shell action of replicated manifolds even as the number of boundaries approaches zero, including a type of one-step replica symmetry breaking that is necessary to capture the contribution of the new saddle. Our results are robust against quantum corrections; in fact, we find evidence that such corrections may sometimes stabilize this new saddle.…”
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Spread complexity in saddle-dominated scrambling
Published 2024-05-01“…In this paper, we study the spread complexity of the thermofield double state within integrable systems that exhibit saddle-dominated scrambling. Specifically, we focus on the Lipkin-Meshkov-Glick model and the inverted harmonic oscillator as representative examples of quantum mechanical systems featuring saddle-dominated scrambling. …”
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Regularization of the Boundary-Saddle-Node Bifurcation
Published 2018-01-01“…The boundary-saddle-node (BSN) bifurcation occurs at a critical value when the saddle-node point is located on the discontinuity boundary. …”
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Saddle point localization of molecular wavefunctions
Published 2017“…We model the spacing of the eigenenergies with the energy dependent classical oscillation frequency decreasing to zero at the saddle point. The eigenstates with the smallest spacing are localized at the saddle point. …”
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Escaping saddle points in constrained optimization
Published 2019“…In this paper, we study the problem of escaping from saddle points in smooth nonconvex optimization problems subject to a convex set C. …”
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The antitriangular factorization of saddle point matrices
Published 2014“…We show that rank-1 updates to the saddle point matrix can be easily incorporated into the factorization and give bounds on the eigenvalues of matrices important in saddle point theory. …”
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The antitriangular factorisation of saddle point matrices
Published 2013“…Here we show the simplification of this factorisation for saddle point matrices and demonstrate how it represents the common nullspace method. …”
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Natural preconditioners for saddle point systems
Published 2013“…The solution of quadratic or locally quadratic extremum problems subject to linear(ized) constraints gives rise to linear systems in saddle point form. This is true whether in the continuous or discrete setting, so saddle point systems arising from discretization of partial differential equation problems such as those describing electromagnetic problems or incompressible flow lead to equations with this structure as does, for example, the widely used sequential quadratic programming approach to nonlinear optimization. …”
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Characteristics Comparison and Case Study of Traditional Anti-Slip Saddles and Innovative Rolling Saddles in Highway Long-Span Bridges
Published 2024-06-01Subjects: “…anti-skid saddle…”
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Saddle and Tack Care in Hot and Humid Environments
Published 2014-11-01“…(Photo credit: Joel McQuagge, UF/IFAS) AN303/AN303: Saddle and Tack Care in Hot and Humid Environments (ufl.edu) …”
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