A first-order delayed chaotic model with n-double scroll attractors is investigated. The associated piecewise-linear activation function requires only a few operational amplifiers, which can easily be realized by an electronic circuit. The typical waveforms and phase portraits are plotted to illustrate n-double scroll chaotic oscillations. Keywords—delay; chaotic attractor; n-double scroll; cir...

A three-transistor CMOS circuit is presented, with adjustable nonlinear characteristics, which can be used as a map that generates discrete-time chaotic signals. A method of constructing a chaos generator using two map circuits is also proposed. The circuit is very compact, which makes it suitable for applications requiring the integration of a large number of random signal generators on a sing...

We present a simple …nancial market model with interacting chartists and fundamentalists. Since some of these speculators only become active when a certain misalignment level has been crossed, the dynamics are driven by a discontinuous piecewise linear map. The model endogenously generates bubbles and crashes and excess volatility for a broad range of parameter values – and thus explains some k...

CHAOTIC GENERATORS Thomas Schimming, Marco Gotz, Wolfgang Schwarz Institut f ur Grundlagen der Elektrotechnik und Elektronik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany e-mail: [email protected] ABSTRACT In this paper the modeling of a signal by a chaotic generator with respect to a speci ed signal statistic will be considered. To accomplish that, the...

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When only two maps are considered we always find that the critical coupling εl for chaotic synchronization can be predicted within a linear analysis by the vanis...

Trading in stock market indices has gained unprecedented popularity in major ®nancial markets around the world. However, the prediction of stock price index is a very dif®cult problem because of the complexity of the stock market data. This study proposes stock trading model based on chaotic analysis and piecewise nonlinear model. The core component of the model is composed of four phases: The ...

We analyze a simple model of deterministic diffusion. The model consists of a one-dimensional array of scatterers with moving point particles. The particles move from one scatterer to the next according to a piecewise linear, expanding, deterministic map on unit intervals. The microscopic chaotic scattering process of the map can be changed by a control parameter. The macroscopic diffusion coef...

Pseudo random numbers are used for several proposes where uniformity data is desired. For generating them, there are some useful methods, feedback shift registers and dynamical functions are most common methods. Among dynamical functions, onedimensional chaotic maps are the simplest ones. The tent map is a piecewise-linear onedimensional map that has been used to generate pseudo random numbers....

The present paper introduces a new technique to generate several independent chaotic attractors by designing a switching piecewise-constant controller in continuous-time systems. This controller can create chaos using an anticontrol of chaos feedback. It is shown that nonlinear continuous-time systems have several attractors, depending on initial conditions. We demonstrate that the state space ...

The presence of positive Lyapunov exponents in a dynamical system is often taken to be equivalent to the chaotic behavior of that system. We construct a Bernoulli toral linked twist map which has positive Lyapunov exponents and local stable and unstable manifolds defined only on a set of measure zero. This is a deterministic dynamical system with the strongest stochastic property, yet it has po...