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Chaotic Systems

Quasi Sliding Mode Control of Generalized Lorenz Chaotic Systems

Quasi Sliding Mode Control of Generalized Lorenz Chaotic Systems

... Abstract—This paper presents a systematic design procedure to stabilize generalized Lorenz chaotic systems based on sliding mode control. In contrast to the previous works of sliding mode control, the ...

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ANTI-SYNCHRONIZATION OF PAN AND LIU CHAOTIC SYSTEMS BY ACTIVE NONLINEAR CONTROL

ANTI-SYNCHRONIZATION OF PAN AND LIU CHAOTIC SYSTEMS BY ACTIVE NONLINEAR CONTROL

... Pan chaotic systems (2010), identical Liu chaotic systems (2004) and non-identical Pan and Liu chaotic systems by active nonlinear ...the chaotic systems addressed ...

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Analysis and Adaptive Synchronization of Two Novel Chaotic Systems with Hyperbolic Sinusoidal and Cosinusoidal Nonlinearity and Unknown Parameters

Analysis and Adaptive Synchronization of Two Novel Chaotic Systems with Hyperbolic Sinusoidal and Cosinusoidal Nonlinearity and Unknown Parameters

... Chaotic systems are also defined as nonlinear dynamical systems having at least one positive Lyapunov ...first chaotic system in 1963 [1], while he was studying weather patterns with a 3-D ...

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Effective synchronization of a class of chua's chaotic systems using an exponential feedback coupling

Effective synchronization of a class of chua's chaotic systems using an exponential feedback coupling

... 4.1. Chaotic Systems. In this section, we present some numer- ical results for the circuit shown in Figure 1, to illustrate the efectiveness of the proposed scheme, where the three- dimensional tunnel diode ...

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Complexity Meets Development - A Felicitous Encounter on the Road of Life

Complexity Meets Development - A Felicitous Encounter on the Road of Life

... Chaotic systems are largely or entirely deterministic, yet their behavior is unpredictable beyond the short run, mainly because their processes are nonlinear and the evolution of their tracks is extremely ...

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Design of Total Sliding-Mode Control for Chua's Chaotic Circuit

Design of Total Sliding-Mode Control for Chua's Chaotic Circuit

... electronic systems have been more complex than ever before, and new chaotic phenomena have been detected in the engineering and natural ...dynamical systems by ignoring regular, orderly, and long ...

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A Private Secure Communication Scheme Using UKF-based Chaos Synchronization

A Private Secure Communication Scheme Using UKF-based Chaos Synchronization

... only chaotic synchronization but also can be applied to secure ...Lorenz chaotic system and the Rössler chaotic system are used to modulate sinusoid (analog) data and digital data via masking ...

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Control of chaotic dynamics in an OLG economic model

Control of chaotic dynamics in an OLG economic model

... a chaotic system to do something desirable with rather little control effort on our ...that chaotic systems are sensitive to small changes” (1998, ...these systems are not sensitive to small ...

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Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors

Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors

... by chaotic dynamical systems with continuous ...a chaotic system play important roles in characterizing and analyzing the sys- ...continuous-time chaotic systems, several UPOs are ...

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Braz. J. Phys.  vol.39 número3

Braz. J. Phys. vol.39 número3

... new chaotic systems were proposed, including the Chen system, the generalized Lorenz system family, and the hyperbolic-type of general- ized Lorenz canonical form ...four-dimensional chaotic ...

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Secure Image Encryption Based On a Chua Chaotic Noise Generator

Secure Image Encryption Based On a Chua Chaotic Noise Generator

... Chua's circuit is a simple circuit consisting of five components, one of which is non-linear and presents negative conductivity [1]. Chua's circuit is a well-known very simple circuit producing chaotic behaviour. ...

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Chaotic Synchronization in Digital Communication

Chaotic Synchronization in Digital Communication

... both systems stay equal to each other as the system ...of chaotic signal, its synchronization and potential of being used in communication for secure ...implementation, chaotic advantages for secure ...

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Parameter estimation methods for chaotic intercellular networks.

Parameter estimation methods for chaotic intercellular networks.

... in chaotic intercellular ...coupled chaotic systems with some state–of–the–art computational inference methods borrowed from the field of computational ...

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Feature Selection via Chaotic Antlion Optimization.

Feature Selection via Chaotic Antlion Optimization.

... on. Chaotic systems with their interesting properties, such as topologically mixing and dense periodic orbits, ergodicity and intrinsic sto- chasticity, can be used to adapt this parameter, allowing for the ...

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Efficient synchronization with chaotic quadratic maps

Efficient synchronization with chaotic quadratic maps

... dynamical systems. If the coupled chaotic systems are very similar or identical, their state vectors x and y converge to the same trajectory due to ...of chaotic systems can be ...

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Analysis of chaotic behaviour in the population dynamics

Analysis of chaotic behaviour in the population dynamics

... The time lag is important when we deal with continuous series or a set of dates with noise [21], and it is directly related to the creation of information. If the time lag is too large, any correlation between x(t) and ...

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Comparative Study of 1-D Chaotic Generators for Digital Data Encryption

Comparative Study of 1-D Chaotic Generators for Digital Data Encryption

... Fig. 2: A pseudo orbit of a digital chaotic system . Then, some questions might arise: how to estimate the maximal and (mean) transient lengths, cycle periods and the number of limit cycles? Are the lengths large ...

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Analysis and Anti-Synchronization of a Novel Chaotic System via Active and Adaptive Controllers

Analysis and Anti-Synchronization of a Novel Chaotic System via Active and Adaptive Controllers

... novel chaotic systems, when the system parameters are available for ...novel chaotic systems and feedback control laws are devised using estimates of the unknown system parameters and ...

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An Eight-Term Novel Four-Scroll Chaotic System with Cubic Nonlinearity and its Circuit Simulation

An Eight-Term Novel Four-Scroll Chaotic System with Cubic Nonlinearity and its Circuit Simulation

... Chaotic systems are nonlinear dynamical systems which are sensitive to initial conditions, topologically mixing and also with dense periodic ...

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Dislocated negative feedback control with partial replacement between chaotic Lorenz systems

Dislocated negative feedback control with partial replacement between chaotic Lorenz systems

... more chaotic systems can evolve in a coherent and synchronized way it is not an obvious phenomenon, since it is impossible exactly reproduce the ini- tial conditions and any infinitesimal perturbations that ...

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