Phase synchronization in fractional differential chaotic systems

G. H. Erjaee; Shaher Momani

doi:10.1016/j.physleta.2007.11.065

Phase synchronization in fractional differential chaotic systems

G. H. Erjaee
, Shaher Momani

Shiraz University
University of Mutah

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

57 Scopus citations

Abstract

We propose an analytical justification for phase synchronization of fractional differential equations. This justification is based upon a linear stability criterion for fractional differential equations. We then investigate the existence of phase synchronization in chaotic forced Duffing and Sprott-L fractional differential systems of equations. Our numerical results agree with those analytical justifications.

Original language	English
Pages (from-to)	2350-2354
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	14
DOIs	https://doi.org/10.1016/j.physleta.2007.11.065
State	Published - 31 Mar 2008
Externally published	Yes

Keywords

Chaos and phase synchronization
Fractional differential equations

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10.1016/j.physleta.2007.11.065

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title = "Phase synchronization in fractional differential chaotic systems",

abstract = "We propose an analytical justification for phase synchronization of fractional differential equations. This justification is based upon a linear stability criterion for fractional differential equations. We then investigate the existence of phase synchronization in chaotic forced Duffing and Sprott-L fractional differential systems of equations. Our numerical results agree with those analytical justifications.",

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T1 - Phase synchronization in fractional differential chaotic systems

AU - Erjaee, G. H.

AU - Momani, Shaher

PY - 2008/3/31

Y1 - 2008/3/31

N2 - We propose an analytical justification for phase synchronization of fractional differential equations. This justification is based upon a linear stability criterion for fractional differential equations. We then investigate the existence of phase synchronization in chaotic forced Duffing and Sprott-L fractional differential systems of equations. Our numerical results agree with those analytical justifications.

AB - We propose an analytical justification for phase synchronization of fractional differential equations. This justification is based upon a linear stability criterion for fractional differential equations. We then investigate the existence of phase synchronization in chaotic forced Duffing and Sprott-L fractional differential systems of equations. Our numerical results agree with those analytical justifications.

KW - Chaos and phase synchronization

KW - Fractional differential equations

UR - https://www.scopus.com/pages/publications/40249087307

U2 - 10.1016/j.physleta.2007.11.065

DO - 10.1016/j.physleta.2007.11.065

M3 - Article

AN - SCOPUS:40249087307

SN - 0375-9601

VL - 372

SP - 2350

EP - 2354

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 14

ER -

Phase synchronization in fractional differential chaotic systems

Abstract

Keywords

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