Tài liệu A PRACTICAL GUIDE FOR STUDYING CHUA''''S CIRCUITS doc

[...]... therein], it has a special significance The aim of this chapter is to show that several hardware design techniques can be adapted to this paradigmatic circuit, and alternative experimental setups can be constituted by using different Chua’s circuit configurations for practical chaos studies Fig 1.1 Autonomous Chua’s circuit 1 2 A Practical Guide for Studying Chua’s Circuits Several realizations of Chua’s circuit... these realizations for an FTFN The simulated dc characteristic of an FTFN-based Chua’s diode was obtained by using a CMOS realization of FTFN in Fig 1.14 (a) The original chaotic behavior of Chua’s circuit has also been captured with a smooth cubic nonlinearity [150], piecewise-quadratic function 16 A Practical Guide for Studying Chua’s Circuits [138] and some trigonometric functions [19] The realizations... 1.12 (a) 14 A Practical Guide for Studying Chua’s Circuits (a) (b) Fig 1.13 (a) Nullor model and (b) circuit symbol of an FTFN The port characteristics of an FTFN can be described as Vx = V y Ix = Iy = 0 (1.11) Iz = Iw FTFN has infinite input impedance at x and y terminals, as in a VOA Also, FTFN has arbitrary output impedance at z and w terminals While two voltages between the input terminals of FTFN are... OTA-based inductance simulators have been reported [29, 122] In addition to OTA-based realizations, op amp–based inductance simulator structures can be used in designing inductorless Chua’s circuits and other chaotic circuits [139] Such an op amp–based inductance simulator design is shown in Fig 1.16 AD712 L R1 R2 R3 C3 AD712 Fig 1.16 Op amp–based inductance simulator R4 18 A Practical Guide for Studying. .. operating in both their linear and nonlinear region, and six resistors The slopes and breakpoints are chosen as Ga ≅ –0.756 mA/V, Gb ≅ –0.409 mA/V and 10 A Practical Guide for Studying Chua’s Circuits ±Bp = ±1 V with the circuit parameters in Fig 1.9 (a) As Chua’s circuit has a simple and easily configurable circuit structure, most of the experimental studies with it in the literature have been performed... Chua’s Circuit: Classical and New Design Aspects 15 (a) x y AD844 z w AD844 z z x x y y (b) Fig 1.14 (a) A CMOS realization of FTFN [14], (b) AD844-type current conveyor-based realization of FTFN Although FTFN is not commercially available, different realizations including CMOS designs for the FTFN have been suggested in the literature [14] Also there is a practical realization that is formed by two AD844-type... 1.8 (a) iR + VR + + OTA -A OTA-B - NR - (a) (b) Fig 1.8 (a) The OTA-based nonlinear resistor structure proposed by Cruz & Chua [29], (b) Simulated v-i characteristic of Chua’s diode of Fig 1.8 (a) As indicated in Fig 1.8 (a) , this realization is based on only two OTAs, and the dc parameters are determined as Ga ≅ –0.78 mA/V, Gb ≅ – 0.41 mA/V and ±Bp = ±0.7 V The simulated v-i characteristic of Chua’s diode... Numerical Simulation and Modeling of Chua’s Circuit 2.1 Numerical Simulations of Chua’s Circuit 2.2 Simulation and Modeling of Chua’s Circuit in SIMULINK 40 41 44 3 Programmable and Reconfigurable Implementations of Chua’s Circuit Model 3.1 FPAA: General Concepts and Design Approach 3.2 FPAA-Based Implementations of Chua’s Circuit Model 3.2.1 FPAA-based Chua’s circuit model-I 3.2.2 FPAA-based... standard VOA-based implementation Due to the frequency limitations of the voltage op amps, VOA-based Chua’s diode implementations impose an upper limit on the operating frequency Therefore, in the literature new design ideas for implementing Chua’s diode are considered aiming for high-frequency chaotic signals Two alternative implementations of a VOA-based Chua’s diode have been presented by Senani... implement a CFOA-based nonlinear resistor, three AD844-type CFOAs biased with 22 A Practical Guide for Studying Chua’s Circuits ±9 V, two resistors and a capacitor to implement the CFOA-based synthetic inductor with L = 18 mH (a) (b) Fig 1.21 (a) Simulations of chaotic circuit dynamics VC1(t), VC2(t) and iL(t) of Hybrid-I realization, (b) The double-scroll attractor, projection in the (VC2–VC1) plane R . education programs. We hope that this book will be a useful practical guide for readers ranging from graduate and advanced undergraduate science and. modeling and simulation of Chua’s circuit. Field programmable analog array (FPAA) is a programmable device for analog circuit design and it can be effectively