Construction of approximate invariants for nonintegrable Hamiltonian systems
We present a method to construct high-order polynomial approximate invariants (AI) for nonintegrable Hamiltonian dynamical systems and apply it to a modern ring-based particle accelerator. Taking advantage of a special property of one-turn transformation
Yongjun Li, Derong Xu, Yue Hao
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Exact reduction of Liouville integrable Hamiltonian systems with polynomial additional integrals
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Vus, A. Ya., Pidkujko, S. I.
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Bayesian Poisson‐Lognormal Regression With Compositional Effect Shares for Multivariate Count Data
ABSTRACT Multivariate count data are central in community ecology and related fields, where interest lies in how environmental gradients and management actions jointly shape the abundances of many taxa. The Poisson‐lognormal (PLN) model is a natural workhorse in this setting, accommodating overdispersion and cross‐taxon dependence via a latent Gaussian
Abdolnasser Sadeghkhani
wiley +1 more source
This paper considered a new implementation method for the stable manifold method, which is one of the nonlinear optimal control methods, using the state-dependent Riccati equation (SDRE) method.
Shuta MORIMOTO +2 more
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Training Continuously‐Coupled Reconfigurable Photonic Chips with Quantum Machine Learning
In this manuscript, we devise a machine learning approach to program the operation of integrated programmable circuits to perform a desired target unitary. The method uses a black‐box methodology and is suitable for reconfigurable continuously‐coupled waveguide arrays.
Denis Stanev +2 more
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First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians L. The Liouville integrability of
Giovanni Rastelli +2 more
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Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree −k
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Oliveira, Regilene, Valls, Claudia
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
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Operational Algorithms for Separable Qubit X States
This work motivates and applies operational methodology to simulation of quantum statistics of separable qubit X states. Three operational algorithms for evaluating separability probability distributions are put forward.
Demosthenes Ellinas
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HYPERGEOMETRIC SOLUTION OF A CERTAIN POLYNOMIAL HAMILTONIAN SYSTEM OF ISOMONODROMY TYPE [PDF]
In our previous work, a unified description as polynomial Hamiltonian systems was established for a broad class of the Schlesinger systems including the sixth Painleve equation and Garnier systems. The main purpose of this paper is to present particular solutions of this Hamiltonian system in terms of a certain generalization of Gauss' hypergeometric ...
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