WebJan 1, 1997 · This implies that two Lorenz systems are synchronized with feedback control. There are many possible choices for the control Vf), Vi, (t) and V<- (0- We choose /^ (0\ /xA [Vt) =Ay3 (8) w)/ W where A is a 3 x 3 constant matrix. For proper choice of the elements of the matrix A, the feedback system must have all of the eigenvalues with negative ... WebApr 13, 2024 · The Lorenz system (the Lorenz equations, note it is not Lorentz) is a three-dimensional system of ordinary differential equations that depends on three real positive …
洛伦茨吸引子 - 维基百科，自由的百科全书
WebWe test our method by an example of three coupled Lorenz systems. Our results confirm that the proposed method has much potential to identify indirect coupling, which is very relevant for experimental time series analysis. KW - coupling direction . KW - recurrences. KW - Lorenz system. KW - multivariate time series. U2 - 10.1142/S0218127411029033 WebApr 2, 2024 · 1963年，Lorenz发现了第一个混沌吸引子——Lorenz系统，从此揭开了混沌研究的序幕。概念在数学中，一个动力系统被称为自治的，当且仅当这个系统由一组常微分方程组成，并且这些方程的表达式与动力系统的自变量无关。在有关物理的动力系统中，自变量通 … fever resistance medication
Inferring direct coupling by means of recurrences
WebMay 9, 2014 · 4.1 Schematic plot of coupled Lorenz-cell con guration. The arrows indicate the ow of direction in each cell. Photo courtesy of E. A. Jackson [16] with slight modi cation. : : : : : : : : : : : : : 20 5.1 Linear feedback control Lorenz system behavior. The controller is activated at t= 5s. Red lines denote the desired equilibrium point C + WebApr 2, 2024 · Lorenz发现了Lorenz系统 [1]，并首次用简单的三维常系数微分方程组描述其混沌行为，人们在许多不同的领域发现了混沌的存在，并建立许多的数学模型来描述这些 … The Lorenz system is a system of ordinary differential equations first studied by mathematician and meteorologist Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system. In … See more In 1963, Edward Lorenz, with the help of Ellen Fetter who was responsible for the numerical simulations and figures, and Margaret Hamilton who helped in the initial, numerical computations leading up to the findings of the … See more One normally assumes that the parameters σ, ρ, and β are positive. Lorenz used the values σ = 10, β = 8/3 and ρ = 28. The system exhibits chaotic behavior for these … See more Over the past several years, a series of papers regarding high-dimensional Lorenz models have yielded a generalized Lorenz model, which can … See more Model for atmospheric convection As shown in Lorenz's original paper, the Lorenz system is a reduced version of a larger system … See more In Figure 4 of his paper, Lorenz plotted the relative maximum value in the z direction achieved by the system against the previous relative maximum in the z direction. This procedure later became known as a Lorenz map (not to be confused with a See more MATLAB simulation Mathematica simulation Standard way: Less verbose: See more • Eden's conjecture on the Lyapunov dimension • Lorenz 96 model • List of chaotic maps • Takens' theorem See more fever rheumatic