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A constructive framework for discovery, design, and classification of volumetric Bravais weaves. [PDF]
Yildiz TT +3 more
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Comments on Global Symmetries and Anomalies of 5d SCFTs. [PDF]
Benetti Genolini P, Tizzano L.
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Dynamic Balance: A Thermodynamic Principle for the Emergence of the Golden Ratio in Open Non-Equilibrium Steady States. [PDF]
Ruiz A.
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Lie symmetries and superintegrability
Journal of Physics A: Mathematical and Theoretical, 2012We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals?polynomials up to order 18?for the same system.
M.C. Nucci, S. Post
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Lie Symmetries of Ishimori Equation
Communications in Theoretical Physics, 2013Summary: The Ishimori equation is one of the most important (2+1)-dimensional integrable models, which is an integrable generalization of (1+1)-dimensional classical continuous Heisenberg ferromagnetic spin equations. Based on the importance of Lie symmetries in analysis of differential equations, in this paper we derive Lie symmetries for the Ishimori
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Annals of Physics, 1986
Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
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Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
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Deformation of Lie derivative and μ-symmetries
Journal of Physics A: Mathematical and Theoretical, 2007We introduce, in the spirit of Witten's gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of λ- and μ-symmetries, in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to λ- and μ-conservation laws.
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Lie symmetry analysis of the Heisenberg equation
Communications in Nonlinear Science and Numerical Simulation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhonglong Zhao, Bo Han 0007
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Lie symmetries and integrability
Physics Letters A, 1987Abstract All two-dimensional time independent potentials admitting point Lie symmetries and Noether symmetries are presented here. Excluding the potentials admitting time translation and dilation symmetries only, they form a small subclass of the known integrable potentials.
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