By Eleanora Bilotta, Pietro Pantano
Chaos is taken into account as some of the most very important recommendations in sleek technological know-how. It initially seemed in simple terms in desktop simulation (the well-known Lorenz equation of 1963), yet this replaced with the creation of Chua s oscillator (1986) -- an easy digital circuit being able to generate an enormous diversity of chaotic behaviors. With Chua s circuit, chaos turned a actual phenomenon, conveniently understood and represented in mathematical language. but, on the other hand, it really is nonetheless tricky for the non-specialist to understand the whole number of behaviors that the method can produce.
This e-book goals to bridge the space. A gallery of approximately 900 chaotic attractors -- a few generated by means of Chua s actual circuit, the bulk via computing device simulation of the circuit and its generalizations -- are illustrated as 3D colour photos, time sequence and speedy Fourier remodel algorithms. For researchers, additionally provided is the knowledge essential to mirror the behaviors and photographs. ultimately, how the fractal richness will be plied to creative results in producing track and fascinating sounds is proven; a few examples are integrated within the DVD-ROM which comes with the publication.
Contents: Chua s Oscillator and Its Generations; The actual Circuit; Dimensionless Equations; The Cubic functionality; Single-Scroll structures; Multiscrolls structures.
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Extra info for A gallery of Chua attractors
The energy source is a DC voltage Vin, which is chopped by two mains switches S1 and S2. The three energy-storing elements are C, L1 and L2. , L2 = p L1 with p as a random value. The load can be a coil, transformer or HF annealing equipment. A resistance Req is assumed. 2. 5. Each pump consists of the common DC voltage source Vin, a switch S, and a large inductor L. The pump-out energy is usually measured by output current injection. 2 Current Source An ideal current source has infinite impedance and constant output current.
Resonant converter topologies with three and four energy storage elements, IEEE Transactions on Power Electronics, 9, 64, 1994. fm Page 39 Thursday, September 22, 2005 7:23 AM Multiple Energy-Storage Element Resonant Power Converters 39 Belaguli, V. K. , Series-parallel resonant converter operating in discontinuous current mode-analysis, design, simulation, and experimental results, IEEE Transactions on Circuits and System, 47, 433, 2000. , Analysis and design of a series-parallel resonant converter with capacitive output filter, IEEE Transactions on Industry Applications, 27, 523, 1991.
They can be classified into two main groups • DC/DC resonant converters • DC/AC resonant inverters Both groups consist of multiple energy-storage elements: two, three, or four elements. These energy-storage elements are passive parts: inductors and capacitors. They can be connected in series or parallel in various methods. 1. 2. 3. If no restriction such as 2L-2C for four-element RPC, the number of the topologies of four-element RPC can be very large. How to investigate the large quantity of converters is a task of vital importance.
A gallery of Chua attractors by Eleanora Bilotta, Pietro Pantano