Results 11 to 20 of about 245,746 (323)
QUATERNIONIC INTEGRABLE SYSTEMS [PDF]
Symmetry and Perturbation Theory, 2003 Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on ...
Gaeta, G., Morando, P.
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Neural systems integration [PDF]
Neurocomputing, 2004 A need is identified to build models of the central nervous system that are semi-complete, applied within multiple contexts to multiple tasks, using methodologies that span multiple levels of abstraction. The issues and constraints in building such models are discussed with respect to completeness, validation, cost, scalability and robustness.
Michael, Arnold +3 more
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Entropy, 2023 Integrated information theory (IIT) starts from consciousness itself and identifies a set of properties (axioms) that are true of every conceivable experience. The axioms are translated into a set of postulates about the substrate of consciousness (called a complex), which are then used to formulate a mathematical framework for assessing both the ...
William Marshall +9 more
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Integrability on the Master Space [PDF]
, 2012 It has been recently shown that every SCFT living on D3 branes at a toric Calabi-Yau singularity surprisingly also describes a complete integrable system.
A Butti +29 more
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Averaging method for systems with separatrix crossing [PDF]
, 2017 The averaging method provides a powerful tool for studying evolution in near-integrable systems. Existence of separatrices in the phase space of the underlying integrable system is an obstacle for application of standard results that justify using of ...
Neishtadt, Anatoly
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Adelic integrable systems [PDF]
Journal of Mathematical Physics, 1995 Incorporating the zonal spherical function (zsf) problems on real and p-adic hyperbolic planes into a Zakharov–Shabat integrable system setting, we find a wide class of integrable evolutions that respect the number-theoretic properties of the zsf problem.
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Abstract and Applied Analysis, 2014 We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system ...
Fajun Yu, Shuo Feng, Yanyu Zhao
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Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)
Mathematics, 2021 The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so(3,R). The nonlocalities involved are reverse-space, reverse-
Li-Qin Zhang, Wen-Xiu Ma
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A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources
Journal of Applied Mathematics, 2014 Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity.
Yuqing Li, Huanhe Dong, Baoshu Yin
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Chaotic string motion in a near pp-wave limit
Journal of High Energy Physics, 2023 We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable.
Shodai Kushiro, Kentaroh Yoshida
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