Holes and chaotic pulses of traveling waves coupled to a long-wave mode

Henar Herrero; Hermann Riecke

doi:10.1016/S0375-9601(97)00677-4

Holes and chaotic pulses of traveling waves coupled to a long-wave mode

Henar Herrero^*, Hermann Riecke

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

3 Scopus citations

Abstract

It is shown that localized traveling-wave pulses and holes can be stabilized by a coupling to a long-wave mode. Simulations of suitable real Ginzburg-Landau equations reveal a small parameter regime in which the pulses exhibit a breathing motion (presumably related to a front bifurcation), which subsequently becomes chaotic via period-doubling bifurcations.

Original language	English (US)
Pages (from-to)	493-498
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	235
Issue number	5
DOIs	https://doi.org/10.1016/S0375-9601(97)00677-4
State	Published - Nov 17 1997

Keywords

Chaos
Interaction of waves
Localized waves

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(97)00677-4

Cite this

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title = "Holes and chaotic pulses of traveling waves coupled to a long-wave mode",

abstract = "It is shown that localized traveling-wave pulses and holes can be stabilized by a coupling to a long-wave mode. Simulations of suitable real Ginzburg-Landau equations reveal a small parameter regime in which the pulses exhibit a breathing motion (presumably related to a front bifurcation), which subsequently becomes chaotic via period-doubling bifurcations.",

keywords = "Chaos, Interaction of waves, Localized waves",

author = "Henar Herrero and Hermann Riecke",

note = "Funding Information: This work was supported by DOE through grant DE-FG02-92ER14303, by an equipment grant from NSF (DMS-9304397) and by the DGICYT (Spanish Government) under grant PB93-0708.",

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T1 - Holes and chaotic pulses of traveling waves coupled to a long-wave mode

AU - Herrero, Henar

AU - Riecke, Hermann

N1 - Funding Information: This work was supported by DOE through grant DE-FG02-92ER14303, by an equipment grant from NSF (DMS-9304397) and by the DGICYT (Spanish Government) under grant PB93-0708.

PY - 1997/11/17

Y1 - 1997/11/17

N2 - It is shown that localized traveling-wave pulses and holes can be stabilized by a coupling to a long-wave mode. Simulations of suitable real Ginzburg-Landau equations reveal a small parameter regime in which the pulses exhibit a breathing motion (presumably related to a front bifurcation), which subsequently becomes chaotic via period-doubling bifurcations.

AB - It is shown that localized traveling-wave pulses and holes can be stabilized by a coupling to a long-wave mode. Simulations of suitable real Ginzburg-Landau equations reveal a small parameter regime in which the pulses exhibit a breathing motion (presumably related to a front bifurcation), which subsequently becomes chaotic via period-doubling bifurcations.

KW - Chaos

KW - Interaction of waves

KW - Localized waves

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U2 - 10.1016/S0375-9601(97)00677-4

DO - 10.1016/S0375-9601(97)00677-4

M3 - Article

AN - SCOPUS:0040041999

SN - 0375-9601

VL - 235

SP - 493

EP - 498

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

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

IS - 5

ER -

Holes and chaotic pulses of traveling waves coupled to a long-wave mode

Abstract

Keywords

ASJC Scopus subject areas

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