洛伦茨吸引子(Lorenz attractor)是洛伦茨振子(Lorenz oscillator)的长期行为对应的分形结构,以爱德华·诺顿·洛伦茨(Edward Norton Lorenz)的姓氏命名。洛伦茨振子是能产生混沌流的三维动力系统,又稱作勞侖次系統(Lorenz system),其一組混沌解稱作洛伦茨吸引子,以其双纽线形状而著称。映射展示出动力系统(三维系统的三个变量)的状态是如何以一种复杂且不重复的模式… WebFeb 16, 2013 · The Lorenz Equations are a system of three coupled, first-order, nonlinear differential equations which describe the trajectory of a particle through time. The system was originally derived by Lorenz as a model of atmospheric convection, but the deceptive simplicity of the equations have made them an often-used example in fields beyond ...
Adaptive State Feedback Control of Lorenz Systems to Its …
WebNov 15, 2011 · The processing system 126 is also coupled to the FMS 134, which is coupled to the navigation system 132, the communications system 130, and one or more additional avionics systems 136 to support navigation, flight planning, and other aircraft control functions in a conventional manner, as well as to provide real-time data and/or … WebThe Hénon map, sometimes called Hénon–Pomeau attractor/map, is a discrete-time dynamical system.It is one of the most studied examples of dynamical systems that exhibit chaotic behavior.The Hénon map takes a point (x n, y n) in the plane and maps it to a new point {+ = + + =.The map depends on two parameters, a and b, which for the classical … irs credit child
Coupled Lorenz oscillators near the Hopf boundary ... - PubMed
WebNov 23, 2014 · The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations. The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained. It is also shown that when the bifurcation parameter exceeds a critical value, the Hopf … WebMar 5, 2015 · On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems.pdf ... where positiveconstants fractionalorder Rssler system =0.2+xz 10z, oneequilibrium 1000.8a]/2a characteristicpolynomial +10+2ay char-acteristic equation directly one gets followingroots … 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 ... irs credit check report