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… (More)
Wikipedia

Related topics

Related topics

9 relations
Chaos theoryCorrelation dimensionFractalGalerkin method
(More)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
A new simple four-dimensional equilibrium-free autonomous ODE system is described. The system has seven terms, two quadratic… (More)
  • figure 1
  • figure 1
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2007
2007
Lorenz System Stabilization Using Fuzzy Controllers
The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The… (More)
  • figure 1
  • figure 2
  • table 1
  • figure 3
  • figure 4
Is this relevant?
2007
2007
Dynamics of a hyperchaotic Lorenz System
In this paper, we investigate the dynamics of the Lorenz system, linearly extended into one additional dimension. The system is… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2006
Highly Cited
2006
Recurrence Plots of Dynamical Systems .
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples. In… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
Highly Cited
2004
Highly Cited
2004
Synchronization of Lorenz-B ased Chaotic Circuits with Applications to Communications
AbstructA circuit implementation of the chaotic Lorenz system is described. The chaotic behavior of the circuit closely matches… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 6
Is this relevant?
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… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 4
Is this relevant?
Highly Cited
2002
Highly Cited
2002
Bridge the Gap between the Lorenz System and the Chen System
Recently, the study of chaotic dynamics has evolved from the traditional trend of understanding and analyzing chaos to the new… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2001
2001
Adaptive backstepping Control of uncertain Lorenz System
In this paper, we consider the problem of controlling chaos in the well-known Lorenz system. Firstly we show that the Lorenz… (More)
  • figure 2
  • figure 1
Is this relevant?
Highly Cited
1999
Highly Cited
1999
The Lorenz attractor exists
We prove that the Lorenz equations support a strange attractor, as conjectured by Ed-ward Lorenz in 1963. We also prove that the… (More)
Is this relevant?
Highly Cited
1998
Highly Cited
1998
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details
Details of a new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The… (More)
Is this relevant?