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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 64
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 5, October 2013
  4. Invariant algebraic surfaces of the generalized Lorenz system
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 6, December 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 5, October 2013
Multibump solutions for discrete periodic nonlinear Schrödinger equations
Invariant algebraic surfaces of the generalized Lorenz system
One-dimensional nonlinear chromatography system and delta-shock waves
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
Existence of stationary solutions of the Navier–Stokes equations in the presence of a wall
Non-uniform dependence on initial data for the μ − b equation
An existence theorem for a generalized self-dual Chern–Simons equation and its application
Wave propagation in anisotropic turbulent superfluids
Two-dimensional Green’s functions for semi-infinite isotropic thermoelastic plane
Mass transfer from a vertical flat plate due to natural convection with a constant counterflow
Erratum to: Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 4, August 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 3, June 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 2, April 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 64, Issue 1, February 2013
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Invariant algebraic surfaces of the generalized Lorenz system

Content Provider SpringerLink
Author Deng, Xijun
Copyright Year 2012
Abstract In this paper, according to the idea of the weight of a polynomial introduced by Swinnerton-Dyer(Math Proc Camb Philos Soc 132:385–393, 2002), we successfully find all the invariant algebraic surfaces of the generalized Lorenz system x′ = a(y − x), y′ = bx + cy − xz, z′ = xy + dz.
Ending Page 1449
Page Count 7
Starting Page 1443
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 5
Volume Number 64
Language English
Publisher Springer Basel
Publisher Date 2013-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Nonlinear equations and systems, general Location of integral curves, singular points, limit cycles Mathematical Methods in Physics Darboux polynomials Invariant algebraic surface Generalized Lorenz system Theoretical and Applied Mechanics Cofactor
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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