[PDF] Top 20 Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators

... linear control for two different forced model state oscillators and ...the Duffing oscillator which features a second order non-linear differential equation describing complex motion whereas ... See full document

... based control law has been proposed, in this paper, to suppress (control) chaos in the forced Van Der Pol oscillator ...The control scheme has been designed by coupling a ... See full document

... the nonlinear phenomenon and chaos in various physical systems through modelling them via electronic circuits [1, ...Various nonlinear electronic circuits have been designed and analyzed to understand the ... See full document

... is forced back to the limit ...the Van der Pol and the Rayleigh oscillator, but by choosing the regions in this way any desired limit cycle can be ... See full document

... of forced, damped, weakly nonlinear oscillators with polynomial type ...order nonlinear oscillator. The example of a forced Van der Pol oscillator with an ... See full document

... the forced van der Pol model of nonlinear economic cycles, for which frac- tional order derivatives can depict a ‘memory principle’ in economic ...modified van der ... See full document

... coupled van der Pol-Duffing oscillators with a nonlinear friction of higher polynomial order model which involves time delays is ... See full document

... The robot is held from a horizontal bar like a pendulum so that it can swing freely about it. A coloured marker is placed on the robot so that a webcam viewing the setup from the side can track the marker’s position. The ... See full document

... Vortex-induced vibration (VIV) is a fundamental phenomenon commonly encountered in various practical engineering applications and physical sciences where a fluid flow dynamically excites and interacts with a bluff ... See full document

... In a recent paper [1], both real and complex Van der Pol oscillators were introduced and shown to exhibit chaotic limit cycles and in [2] an active control and chaos synchronization was [r] ... See full document

... the van der Pol–Duffing ...of Duffing and van der Pol oscillators with the dependence on exciting frequency is shown for different values of exciting ...the ... See full document

... In ice age models the forcing function is generally one or several insolation curves, computed for specific seasons and latitudes. The rationale behind this choice is that whichever insolation is used it is, to a very ... See full document

... adaptive control method of MC is proposed which is based on interval type-2 fuzzy sliding mode control using indirect ...current control development, the chattering phenomenon is reduced through ... See full document

... of Duffing system cha- otic oscillations analysis is ...of chaotic-to-periodic state transition under input periodic component ...from chaotic state to periodic state. The Duffing-type ... See full document

... This phenomenon has received much attention from many generations of re- searchers dating as far back as 1665 when Christiaan Huygens recognised it in his clocks. However, possibly the earliest record of synchronisation ... See full document

... *In this paper we study van der Pol equation which is an important nonlinear ODE. Then we study behavior of it for very large and very small nonlinearity parameter in this equation and ... See full document

... A quasilinearization technique due to Lakshmikantham [9] is applied to obtain an analytic approximation of the solution of the problem (1.1-1.2). In fact, we obtain sequences of upper and lower solutions converging ... See full document

... The Van der Pol oscillator is a nonlinear damping and non-conservative ...This nonlinear oscillator was first introduced by Dutch electrical engineer and physicist ...B. Van ... See full document

... Advantages of Determining the Parameters of an Oscillator by Solving a System of Equations in the Space of Wavelet Coefficients Thus, the calculation of the original signal wavelet coeff[r] ... See full document

... Chebyshev chaotic map over the finite field has been used to develop our design since the discrete logarithm problem and Diffie-Hellman problem are assumed intractable within polynomial time ...Tent chaotic ... See full document