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Variational principle for scale-free network motifs [PDF]
Scientific Reports, 2019 For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structures of motifs (small subgraphs) are not yet well understood.
Clara Stegehuis +2 more
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Gyarmati’s Variational Principle of Dissipative Processes
Entropy, 2014 Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms
József Verhás
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A Generalized Variational Principle
Canadian Journal of Mathematics, 2001 We prove a strong variant of the Borwein-Preiss variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.
Philip D. Loewen, Xianfu Wang
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On the Ekeland variational principle [PDF]
Journal of Fixed Point Theory and Applications, 2011 For proper lower semicontinuous functionals bounded from below which do not increase upon polarization, an improved version of Ekeland’s variational principle can be formulated in Banach spaces, which provides almost symmetric ...
Squassina, Marco, Marco Squassina
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Stochastic Adaptive Single-Site Time-Dependent Variational Principle [PDF]
JACS Au, 2022 Yihe Xu +4 more
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Variational Principle for Relative Tail Pressure
Entropy, 2017 We introduce the relative tail pressure to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail pressure is conserved by the principal extension.
Xianfeng Ma, Ercai Chen
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A New Variational Inequality with its Application [PDF]
, 2009 In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
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An efficient quantum algorithm for the time evolution of parameterized circuits [PDF]
Quantum, 2021 We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using parameterized quantum circuits. The method, named "projected – Variational Quantum Dynamics" (p-VQD) realizes an iterative, global projection of the exact ...
Stefano Barison +2 more
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A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System [PDF]
Journal of Applied and Computational Mechanics, 2021 A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational ...
Ji-Huan He +2 more
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$${\mathcal {A}}$$-Variational Principles
Milan Journal of Mathematics, 2023 AbstractThough the $${\mathcal {A}}$$ A -quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical $${\text {curl}}$$ curl -case. Our aim is to propose such a family of
Luís Bandeira, Pablo Pedregal
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