Study of the Dynamic Behavior of the Rossler System

2008 ◽  
Keyword(s):  
Dynamic Behavior ◽  
Rossler System ◽  
Rössler System

scholarly journals Generating a New Chaotic System Using Two Chaotic Rossler-Chua Coupling Systems

2021 ◽  
Author(s):  
Ryam Salam Abdulaali ◽  
Raied K. Jamal ◽  
Salam K. Mousa
Keyword(s):  
Time Series ◽  
Dynamic Behavior ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Matlab Program ◽  
Rossler System ◽  
New Chaotic System ◽  
Rössler System ◽  
New System

Abstract It is proposed in this paper that a new chaotic system may be formed by combining two distinct chaotic systems, such as the Rossler system and the Chua system, in which the x dynamic of the Rossler system is linked with the z dynamic of the Chua system, results in a new chaotic system. Some of the basic dynamic behavior is explored and examined for new system by using the Matlab program. They noticed that it was a difference in the time series of the Chua system and this in turn led to a difference in the attractor, as the attractor of the Chua system changed from double scroll to single scroll and this led to change of the bandwidth of the Chua system, meaning that the Rӧssler system affected the Chua system, which led to an increase in the possibility of using this system in secret communications.

A DOUBLE-SCROLL ROSSLER SYSTEM

2005 ◽  
Vol 15 (05) ◽  
pp. 1815-1822
Author(s):  
JOSE ALVAREZ-RAMIREZ ◽  
ILSE CERVANTES ◽  
GILBERTO ESPINOSA-PAREDES
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Dynamic Behavior ◽  
Singular Perturbation Method ◽  
Rossler System ◽  
Rössler System

This letter uses a singular perturbation method to introduce a double-scroll version of the Rossler system. Its generation and basic dynamic behavior are briefly described.

scholarly journals Differential Transform Method as an Effective Tool for Investigating Fractional Dynamical Systems

2021 ◽  
Vol 11 (15) ◽  
pp. 6955
Author(s):  
Andrzej Rysak ◽  
Magdalena Gregorczyk
Keyword(s):  
Optimal Parameter ◽  
Differential Transform Method ◽  
Bifurcation Diagrams ◽  
Transform Method ◽  
Rossler System ◽  
Differential Transform ◽  
Rössler System ◽  
Fractional System ◽  
Parameter Values

This study investigates the use of the differential transform method (DTM) for integrating the Rössler system of the fractional order. Preliminary studies of the integer-order Rössler system, with reference to other well-established integration methods, made it possible to assess the quality of the method and to determine optimal parameter values that should be used when integrating a system with different dynamic characteristics. Bifurcation diagrams obtained for the Rössler fractional system show that, compared to the RK4 scheme-based integration, the DTM results are more resistant to changes in the fractionality of the system.

A SIMPLE OBSERVER OF THE HYPERCHAOTIC RÖSSLER SYSTEM

2010 ◽  
Vol 24 (22) ◽  
pp. 4325-4331
Author(s):  
XING-YUAN WANG ◽  
JUN-MEI SONG
Keyword(s):  
Dynamical System ◽  
Time Domain ◽  
Global Exponential Stability ◽  
Observer Design ◽  
The Other ◽  
State Observation ◽  
Rossler System ◽  
Error System ◽  
Rössler System ◽  
The Time Domain

This paper studies the hyperchaotic Rössler system and the state observation problem of such a system being investigated. Based on the time-domain approach, a simple observer for the hyperchaotic Rössler system is proposed to guarantee the global exponential stability of the resulting error system. The scheme is easy to implement and different from the other observer design that it does not need to transmit all signals of the dynamical system. It is proved theoretically, and numerical simulations show the effectiveness of the scheme finally.

Adaptive Control of Chaotic Rössler System via Synchronization

2009 ◽  
Vol 4 (2) ◽  
pp. 98-106 ◽  
Author(s):  
H. Fatehi Marj ◽  
R. Asgharian ◽  
N. Pariz
Keyword(s):  
Adaptive Control ◽  
Rossler System ◽  
Rössler System
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