Dissipative solitons with energy and matter flows: Fundamental building blocks for the world of living organisms

N. Akhmediev; J. M. Soto-Crespo; H. R. Brand

doi:10.1016/j.physleta.2013.02.015

Dissipative solitons with energy and matter flows: Fundamental building blocks for the world of living organisms

N. Akhmediev, J. M. Soto-Crespo^*, H. R. Brand

^*Corresponding author for this work

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

17 Citations (Scopus)

Abstract

We consider a combined model of dissipative solitons that are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. The system is governed by the generic complex Ginzburg-Landau equation, which is coupled to a common reaction-diffusion (RD) system. Such a composite dynamical system may describe nerve pulses with a significant part of electromagnetic energy involved. We present examples of such composite dissipative solitons and analyse their internal balances between energy and matter generation and dissipation.

Original language	English
Pages (from-to)	968-974
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	13
DOIs	https://doi.org/10.1016/j.physleta.2013.02.015
Publication status	Published - 17 May 2013

Access to Document

10.1016/j.physleta.2013.02.015

Cite this

@article{25ffedf2e1ef449f9329d8254e41db88,

title = "Dissipative solitons with energy and matter flows: Fundamental building blocks for the world of living organisms",

abstract = "We consider a combined model of dissipative solitons that are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. The system is governed by the generic complex Ginzburg-Landau equation, which is coupled to a common reaction-diffusion (RD) system. Such a composite dynamical system may describe nerve pulses with a significant part of electromagnetic energy involved. We present examples of such composite dissipative solitons and analyse their internal balances between energy and matter generation and dissipation.",

keywords = "Dissipative solitons, Living organisms, Nerve pulses",

author = "N. Akhmediev and Soto-Crespo, \{J. M.\} and Brand, \{H. R.\}",

year = "2013",

month = may,

day = "17",

doi = "10.1016/j.physleta.2013.02.015",

language = "English",

volume = "377",

pages = "968--974",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "13",

}

TY - JOUR

T1 - Dissipative solitons with energy and matter flows

T2 - Fundamental building blocks for the world of living organisms

AU - Akhmediev, N.

AU - Soto-Crespo, J. M.

AU - Brand, H. R.

PY - 2013/5/17

Y1 - 2013/5/17

N2 - We consider a combined model of dissipative solitons that are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. The system is governed by the generic complex Ginzburg-Landau equation, which is coupled to a common reaction-diffusion (RD) system. Such a composite dynamical system may describe nerve pulses with a significant part of electromagnetic energy involved. We present examples of such composite dissipative solitons and analyse their internal balances between energy and matter generation and dissipation.

AB - We consider a combined model of dissipative solitons that are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. The system is governed by the generic complex Ginzburg-Landau equation, which is coupled to a common reaction-diffusion (RD) system. Such a composite dynamical system may describe nerve pulses with a significant part of electromagnetic energy involved. We present examples of such composite dissipative solitons and analyse their internal balances between energy and matter generation and dissipation.

KW - Dissipative solitons

KW - Living organisms

KW - Nerve pulses

UR - https://www.scopus.com/pages/publications/84875211735

U2 - 10.1016/j.physleta.2013.02.015

DO - 10.1016/j.physleta.2013.02.015

M3 - Article

SN - 0375-9601

VL - 377

SP - 968

EP - 974

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

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

IS - 13

ER -

Dissipative solitons with energy and matter flows: Fundamental building blocks for the world of living organisms

Abstract

Access to Document

Other files and links

Fingerprint

Cite this