Results 301 to 309 of about 530,977 (309)
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Lie Point Symmetries and Dynamical Systems
1993The notion and the peculiar properties of Lie point symmetries in the context of first-order time evolution ODE are examined, also in comparison with different situations (e.g. PDE, Hamiltonian problems). We obtain in particular that Lie symmetries provide an extension to the nonlinear case of a useful “reduction lemma”, and some applications ...
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Lie-point symmetries and stochastic differential equations: II
Journal of Physics A: Mathematical and General, 2000We complement the discussion of symmetries of Ito equations given in Gaeta and Rodriguez Quintero (1999 J. Phys. A: Math. Gen. 32 8485-505) by considering transformations acting on vector Wiener processes as well, together with discrete symmetries. We also discuss symmetries for the random dynamical system defined by an Ito equation, and show that ...
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‘Air’ polynomials, Lie point symmetries and a hyperbolic equation
Journal of Physics A: Mathematical and General, 2006The solution of the problem of one-dimensional, unsteady, isentropic gas flow with the use of Riemann's invariants gives rise to a linear hyperbolic partial differential equation with the ratio of specific heats as an essential parameter. The partial differential equation has 3 + 1 + ∞ Lie point symmetries.
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Lie point symmetries of Stratonovich stochastic differential equations
Journal of Physics A: Mathematical and Theoretical, 2018This paper considers Lie point symmetries of stochastic differential equations (SDEs) in Stratonovich form. First, we derive the determining equations of the random symmetries, which correspond to Lie group transformations acting in the space of the independent variable (time), the dependent variables and the Brownian motion.
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Lie point transformations and symmetries
1990Malcolm MacCallum, Hans Stephani
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Symmetries more general than Lie point symmetries
1990Hans Stephani, Malcolm MacCallum
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Lie point symmetries of delay ordinary differential equations
2019Pavel Winternitz +3 more
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How to use Lie point symmetries: differential equations with one symmetry
1990Malcolm MacCallum, Hans Stephani
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