Transition from non-periodic to periodic explosions

Carlos Cartes; Orazio Descalzi

doi:10.1098/rsta.2015.0114

Transition from non-periodic to periodic explosions

Carlos Cartes, Orazio Descalzi^*

^*Corresponding author for this work

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

7 Scopus citations

Abstract

We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

Original language	English
Article number	20150114
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	373
Issue number	2056
DOIs	https://doi.org/10.1098/rsta.2015.0114
State	Published - 13 Dec 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.

Keywords

Chaos theory
Explosive solitons
Numerical simulations

Access to Document

10.1098/rsta.2015.0114

Cite this

@article{5cf72554dc054f8689a0f256ff761c09,

title = "Transition from non-periodic to periodic explosions",

abstract = "We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).",

keywords = "Chaos theory, Explosive solitons, Numerical simulations",

author = "Carlos Cartes and Orazio Descalzi",

year = "2015",

month = dec,

day = "13",

doi = "10.1098/rsta.2015.0114",

language = "English",

volume = "373",

journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",

issn = "1364-503X",

publisher = "The Royal Society",

number = "2056",

}

TY - JOUR

T1 - Transition from non-periodic to periodic explosions

AU - Cartes, Carlos

AU - Descalzi, Orazio

PY - 2015/12/13

Y1 - 2015/12/13

N2 - We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

AB - We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

KW - Chaos theory

KW - Explosive solitons

KW - Numerical simulations

UR - http://www.scopus.com/inward/record.url?scp=84946053083&partnerID=8YFLogxK

U2 - 10.1098/rsta.2015.0114

DO - 10.1098/rsta.2015.0114

M3 - Article

AN - SCOPUS:84946053083

SN - 1364-503X

VL - 373

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2056

M1 - 20150114

ER -

Transition from non-periodic to periodic explosions

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this