Adaptive functional projective lag synchronization of a hyperchaotic rössler system

Tae H. Lee; Ju H. Park

doi:10.1088/0256-307X/26/9/090507

Adaptive functional projective lag synchronization of a hyperchaotic rössler system

Tae H. Lee
, Ju H. Park

Division of Electronic Engineering

Yeungnam University

Research output: Contribution to journal › Journal article › peer-review

40 Scopus citations

Abstract

We explain the functional projective lag synchronization of a hyperchaotic Rössler system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. Based on Lyapunov stability theory, an active control method and adaptive control law are employed to make the states of two hyperchaotic Rössler systems asymptotically synchronized. Finally, some numerical examples are provided to show the effectiveness of our results.

Original language	English
Article number	090507
Journal	Chinese Physics Letters
Volume	26
Issue number	9
DOIs	https://doi.org/10.1088/0256-307X/26/9/090507
State	Published - 2009

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title = "Adaptive functional projective lag synchronization of a hyperchaotic r{\"o}ssler system",

abstract = "We explain the functional projective lag synchronization of a hyperchaotic R{\"o}ssler system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. Based on Lyapunov stability theory, an active control method and adaptive control law are employed to make the states of two hyperchaotic R{\"o}ssler systems asymptotically synchronized. Finally, some numerical examples are provided to show the effectiveness of our results.",

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T1 - Adaptive functional projective lag synchronization of a hyperchaotic rössler system

AU - Lee, Tae H.

AU - Park, Ju H.

PY - 2009

Y1 - 2009

N2 - We explain the functional projective lag synchronization of a hyperchaotic Rössler system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. Based on Lyapunov stability theory, an active control method and adaptive control law are employed to make the states of two hyperchaotic Rössler systems asymptotically synchronized. Finally, some numerical examples are provided to show the effectiveness of our results.

AB - We explain the functional projective lag synchronization of a hyperchaotic Rössler system with four unknown parameters, where the output of the master system lags behind the output of the slave system proportionally. Based on Lyapunov stability theory, an active control method and adaptive control law are employed to make the states of two hyperchaotic Rössler systems asymptotically synchronized. Finally, some numerical examples are provided to show the effectiveness of our results.

UR - https://www.scopus.com/pages/publications/71049186392

U2 - 10.1088/0256-307X/26/9/090507

DO - 10.1088/0256-307X/26/9/090507

M3 - Journal article

AN - SCOPUS:71049186392

SN - 0256-307X

VL - 26

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 9

M1 - 090507

ER -

Adaptive functional projective lag synchronization of a hyperchaotic rössler system

Abstract

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