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Lorenz system

Known as: Lorentz attractor, Lorenz, Lorenz Attractor 
The Lorenz system is a system of ordinary differential equations (the Lorenz equations, note it is not Lorentz) first studied by Edward Lorenz. It is… Expand
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Related topics

Related topics

9 relations
Chaos theoryCorrelation dimensionFractalGalerkin method
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
Dynamics and synchronization of new hyperchaotic complex Lorenz system
  • E. Mahmoud
  • Math. Comput. Model.
  • 2012
    • Corpus ID: 15573947
Abstract The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This hyperchaotic complex system is… Expand
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Highly Cited
2007
Highly Cited
2007
Dynamics of a hyperchaotic Lorenz System
  • Ruy Barboza
  • Int. J. Bifurc. Chaos
  • 2007
    • Corpus ID: 33717345
In this paper, we investigate the dynamics of the Lorenz system, linearly extended into one additional dimension. The system is… Expand
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Highly Cited
2006
Highly Cited
2006
Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
To estimate the ultimate bound and positively invariant set for a dynamic system is an important but quite challenging task in… Expand
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Highly Cited
2004
Highly Cited
2004
A New Chaotic System and Beyond: the Generalized Lorenz-like System
This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can… Expand
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Highly Cited
2002
Highly Cited
2002
Bridge the Gap between the Lorenz System and the Chen System
This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two… Expand
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Highly Cited
2002
Highly Cited
2002
On a Generalized Lorenz Canonical Form of Chaotic Systems
This paper shows that a large class of systems, introduced in [Celikovský & Vaněcek, 1994; Vaněcek & Celikovský, 1996] as the so… Expand
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Highly Cited
1994
Highly Cited
1994
Dynamics: Numerical Explorations
Preface 1. Getting the program running 1.1 The Dynamics program and hardware Smalldyn: a small version of Dynamics 1.2 Getting… Expand
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Highly Cited
1993
Highly Cited
1993
Synchronization of Lorenz-based chaotic circuits with applications to communications
A circuit implementation of the chaotic Lorenz system is described. The chaotic behavior of the circuit closely matches the… Expand
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Highly Cited
1987
Highly Cited
1987
Recurrence Plots of Dynamical Systems
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples. 
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Highly Cited
1980
Highly Cited
1980
Intermittent transition to turbulence in dissipative dynamical systems
We study some simple dissipative dynamical systems exhibiting a transition from a stable periodic behavior to a chaotic one. At… Expand
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