Chaos and coherent structures in partial differential equations

Alejandro Aceves; Hatsuo Adachihara; Christopher Jones; Juan Carlos Lerman; David W. McLaughlin; Jerome V. Moloney; Alan C. Newell

doi:10.1016/0167-2789(86)90165-X

Chaos and coherent structures in partial differential equations

Alejandro Aceves, Hatsuo Adachihara, Christopher Jones, Juan Carlos Lerman, David W. McLaughlin, Jerome V. Moloney, Alan C. Newell

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

42 Scopus citations

Abstract

This paper addresses the possible connections between chaos, the unpredictable behavior of solutions of finite dimensional systems of ordinary differential and difference equations and turbulence, the unpredictable behavior of solutions of partial differential equations. It is dedicated to Martin Kruskal on the occasion of his 60th birthday.

Original language	English (US)
Pages (from-to)	85-112
Number of pages	28
Journal	Physica D: Nonlinear Phenomena
Volume	18
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(86)90165-X
State	Published - Jan 1986

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(86)90165-X

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title = "Chaos and coherent structures in partial differential equations",

abstract = "This paper addresses the possible connections between chaos, the unpredictable behavior of solutions of finite dimensional systems of ordinary differential and difference equations and turbulence, the unpredictable behavior of solutions of partial differential equations. It is dedicated to Martin Kruskal on the occasion of his 60th birthday.",

author = "Alejandro Aceves and Hatsuo Adachihara and Christopher Jones and Lerman, {Juan Carlos} and McLaughlin, {David W.} and Moloney, {Jerome V.} and Newell, {Alan C.}",

note = "Funding Information: We gratefully acknowledget he support of AFOSR Grant #AFOSR-83-0227A, rmy Grant #DAAG-29-85-K0091,N SF #DMS-8403187, and ONR Grant #N00014-84-K-0420.",

year = "1986",

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doi = "10.1016/0167-2789(86)90165-X",

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AU - Aceves, Alejandro

AU - Adachihara, Hatsuo

AU - Jones, Christopher

AU - Lerman, Juan Carlos

AU - McLaughlin, David W.

AU - Moloney, Jerome V.

AU - Newell, Alan C.

N1 - Funding Information: We gratefully acknowledget he support of AFOSR Grant #AFOSR-83-0227A, rmy Grant #DAAG-29-85-K0091,N SF #DMS-8403187, and ONR Grant #N00014-84-K-0420.

PY - 1986/1

Y1 - 1986/1

N2 - This paper addresses the possible connections between chaos, the unpredictable behavior of solutions of finite dimensional systems of ordinary differential and difference equations and turbulence, the unpredictable behavior of solutions of partial differential equations. It is dedicated to Martin Kruskal on the occasion of his 60th birthday.

AB - This paper addresses the possible connections between chaos, the unpredictable behavior of solutions of finite dimensional systems of ordinary differential and difference equations and turbulence, the unpredictable behavior of solutions of partial differential equations. It is dedicated to Martin Kruskal on the occasion of his 60th birthday.

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Chaos and coherent structures in partial differential equations

Abstract

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