Generating a complex form of chaotic pan system and its behavior

Ahmed A.M. Farghaly

doi:10.12785/amis/090540

Generating a complex form of chaotic pan system and its behavior

Ahmed A.M. Farghaly

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this article we introduce a new chaotic five dimensional (5D) continuous autonomous system involving complex variables,via 3D Pan system[Pan et al 2010]. The basic dynamical properties of the new system are analyzed such as equilibrium points, eigenvalues structures, and maximal Lyapunov exponent. We propose an approach for controlling chaotic attractor of this system by adding a complex periodic forcing. Computer simulations are calculated to study the behavior of this system.

Original language	English
Pages (from-to)	2553-2557
Number of pages	5
Journal	Applied Mathematics and Information Sciences
Volume	9
Issue number	5
DOIs	https://doi.org/10.12785/amis/090540
State	Published - 2015
Externally published	Yes

Keywords

Behavior
Chaotic
Complex
Control
Pan system

Access to Document

10.12785/amis/090540

Cite this

@article{18f29403d43b415089cb9edad75364ea,

title = "Generating a complex form of chaotic pan system and its behavior",

abstract = "In this article we introduce a new chaotic five dimensional (5D) continuous autonomous system involving complex variables,via 3D Pan system[Pan et al 2010]. The basic dynamical properties of the new system are analyzed such as equilibrium points, eigenvalues structures, and maximal Lyapunov exponent. We propose an approach for controlling chaotic attractor of this system by adding a complex periodic forcing. Computer simulations are calculated to study the behavior of this system.",

keywords = "Behavior, Chaotic, Complex, Control, Pan system",

author = "Farghaly, \{Ahmed A.M.\}",

note = "Publisher Copyright: {\textcopyright} 2015 NSP Natural Sciences Publishing Cor.",

year = "2015",

doi = "10.12785/amis/090540",

language = "English",

volume = "9",

pages = "2553--2557",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "5",

}

TY - JOUR

T1 - Generating a complex form of chaotic pan system and its behavior

AU - Farghaly, Ahmed A.M.

PY - 2015

Y1 - 2015

N2 - In this article we introduce a new chaotic five dimensional (5D) continuous autonomous system involving complex variables,via 3D Pan system[Pan et al 2010]. The basic dynamical properties of the new system are analyzed such as equilibrium points, eigenvalues structures, and maximal Lyapunov exponent. We propose an approach for controlling chaotic attractor of this system by adding a complex periodic forcing. Computer simulations are calculated to study the behavior of this system.

AB - In this article we introduce a new chaotic five dimensional (5D) continuous autonomous system involving complex variables,via 3D Pan system[Pan et al 2010]. The basic dynamical properties of the new system are analyzed such as equilibrium points, eigenvalues structures, and maximal Lyapunov exponent. We propose an approach for controlling chaotic attractor of this system by adding a complex periodic forcing. Computer simulations are calculated to study the behavior of this system.

KW - Behavior

KW - Chaotic

KW - Complex

KW - Control

KW - Pan system

UR - https://www.scopus.com/pages/publications/84937834406

U2 - 10.12785/amis/090540

DO - 10.12785/amis/090540

M3 - Article

AN - SCOPUS:84937834406

SN - 1935-0090

VL - 9

SP - 2553

EP - 2557

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 5

ER -

Generating a complex form of chaotic pan system and its behavior

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this