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Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such random models to obtain statistics on their long-term response.…

Dynamical Systems · Mathematics 2024-07-08 Zhenwei Xu , Roshan S. Kaundinya , Shobhit Jain , George Haller

An abelian 4D, $\mathcal{N}$ = 4 vector supermultiplet allows for a duality transformation to be applied to one of its spin-0 states. The resulting theory can be described as an abelian 4D, $\mathcal{N}$ = 4 vector-tensor supermultiplet. It…

High Energy Physics - Theory · Physics 2025-04-28 S. James Gates, , Kory Stiffler

We study the problem to provide a triangular form based on implicit differential equations for non-linear multi-input systems with respect to the flatness property. Furthermore, we suggest a constructive method for the transformation of a…

Optimization and Control · Mathematics 2021-07-29 Markus Schöberl , Kurt Schlacher

While data-driven model reduction techniques are well-established for linearizable mechanical systems, general approaches to reducing non-linearizable systems with multiple coexisting steady states have been unavailable. In this paper, we…

Dynamical Systems · Mathematics 2022-07-13 Mattia Cenedese , Joar Axås , Haocheng Yang , Melih Eriten , George Haller

We consider a multiscale approach based on immersed methods for the efficient computational modeling of tissues composed of an elastic matrix (in two or three-dimensions) and a thin vascular structure (treated as a co-dimension two…

Numerical Analysis · Mathematics 2021-11-18 Luca Heltai , Alfonso Caiazzo

We present the supersymmetric completion of the auxiliary vector modified polynomial $f(R)$ theories in their dual scalar-tensor theory formulation that interpolate between the auxiliary vector modified polynomial $f(R)$ theories and…

High Energy Physics - Theory · Physics 2020-04-06 Sibel Boran , Emre Onur Kahya , Nese Ozdemir , Mehmet Ozkan , Utku Zorba

We present a closed-form expression for the supersymmetric non-Abelian Chern-Simons action in conventional five-dimensional N=1 superspace. Our construction makes use of the superform formalism to generate supersymmetric invariants. Similar…

High Energy Physics - Theory · Physics 2014-02-26 Sergei M. Kuzenko , Joseph Novak

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We construct a new off-shell $\mathcal{N}{=}4$, $d{=}3$ nonlinear vector supermultiplet. The irreducibility constraints for the superfields leave in this supermultiplet the same component content as in the ordinary linear vector…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Krivonos , A. Shcherbakov

We use the recent theory of Spectral Submanifolds (SSM) for model reduction of nonlinear mechanical systems subject to parametric excitations. Specifically, we develop expressions for higher-order nonautonomous terms in the parameterization…

Dynamical Systems · Mathematics 2023-07-21 Thomas Thurnher , George Haller , Shobhit Jain

In this paper we outline the extension of recently introduced the sub-system embedding sub-algebras coupled cluster (SES-CC) formalism to the unitary CC formalism. In analogy to the standard single-reference SES-CC formalism, its unitary CC…

We propose a method to construct on-shell component actions for theories with 1/2 partial breaking of global supersymmetry within the nonlinear realization (coset) approach. In contrast with the standard superfield approach in which…

High Energy Physics - Theory · Physics 2015-06-18 S. Bellucci , S. Krivonos , A. Sutulin

We consider an extended phase space formulation for cosmological and spherically symmetric models in which the choice of a given $\overline{\mu}$-scheme can be implemented dynamically. These models are constructed in the context of the…

General Relativity and Quantum Cosmology · Physics 2023-04-04 Kristina Giesel , Hongguang Liu

We study supersymmetry breaking in theories with non-minimal multiplets (such as the complex linear or CNM multiplets), by using superspace higher derivative terms which give rise to new supersymmetry breaking vacuum solutions on top of the…

High Energy Physics - Theory · Physics 2015-10-28 Fotis Farakos , Ondřej Hulík , Pavel Kočí , Rikard von Unge

A very simple closed-form formula for Sheppard's corrections is recovered by means of the classical umbral calculus. By means of this symbolic method, a more general closed-form formula for discrete parent distributions is provided and the…

Statistics Theory · Mathematics 2015-03-17 Elvira Di Nardo

The vacuum overlap formalism is extended to describe the supersymmetric multiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in the case without interaction, based on the fact that supersymmetry can be maintained upto…

High Energy Physics - Lattice · Physics 2016-08-25 Tatsumi Aoyama , Yoshio Kikukawa

In this paper we propose a new supersymmetric extension of conformal mechanics. The Grassmannian variables that we introduce are the basis of the forms and of the vector-fields built over the symplectic space of the original system. Our…

High Energy Physics - Theory · Physics 2015-06-26 E. Deotto , G. Furlan , E. Gozzi

In the on-shell formulation of $D=5 $, N=2 supergravity, compactified on $S^1/Z_2$, we extend the results of Mirabelli and Peskin describing the interaction of the bulk fields with matter which is assumed to be confined on the brane. The…

High Energy Physics - Theory · Physics 2010-11-19 G. A. Diamandis , B. C. Georgalas , P. Kouroumalou , A. B. Lahanas

The {\it two-fold singularity} has played a significant role in our understanding of uniqueness and stability in piecewise smooth dynamical systems. When a vector field is discontinuous at some hypersurface, it can become tangent to that…

Dynamical Systems · Mathematics 2015-06-04 Mike R. Jeffrey

In this paper, we fill some gap in the existing literature on higher spins by presenting an explicit solution to the on-shell constraints for a frame-like, gauge invariant description of massive, higher spin fields in d=4. We begin with the…

High Energy Physics - Theory · Physics 2026-05-08 Yu. M. Zinoviev