Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'

doi:10.1098/rsta.2022.0091

. 2023 Apr 17;381(2245):20220091.

doi: 10.1098/rsta.2022.0091. Epub 2023 Feb 27.

Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'

Alexander Nepomnyashchy¹, Anna Samoilova^{2

3}

Affiliations

¹ Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel.
² Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, Perm 614013, Russia.
³ Department of Theoretical Physics, Perm State University, Bukirev Street 15, Perm 614990, Russia.

PMID: 36842982
PMCID: PMC9968531
DOI: 10.1098/rsta.2022.0091

Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'

Alexander Nepomnyashchy et al. Philos Trans A Math Phys Eng Sci. 2023.

. 2023 Apr 17;381(2245):20220091.

doi: 10.1098/rsta.2022.0091. Epub 2023 Feb 27.

Authors

Alexander Nepomnyashchy¹, Anna Samoilova^{2

3}

Affiliations

¹ Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel.
² Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, Perm 614013, Russia.
³ Department of Theoretical Physics, Perm State University, Bukirev Street 15, Perm 614990, Russia.

PMID: 36842982
PMCID: PMC9968531
DOI: 10.1098/rsta.2022.0091

Abstract

Pattern formation is a widespread phenomenon observed in physical, chemical and biological systems. During the past decades, powerful experimental and theoretical tools for the investigation of that phenomenon have been developed. Also, the set of pattern forming system was diversified. The present issue presents a panorama of pattern formation and other nonlinear dynamical phenomena in different natural and engineering systems. Special attention is paid to nonlinear dynamics of fluids. Non-equilibrium phenomena in chemical and quantum systems are also considered. This article is part of the theme issue 'New trends in pattern formation and nonlinear dynamics of extended systems'.

Keywords: extended systems; nonlinear dynamics; pattern formation.

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References

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1. Bénard H. 1900. Les tourbillons cellulaires dans une nappe liquide. Rev. Gen. Sci. Pures Appl. 11, 1261-1271.
1. Turing AM. 1952. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. B 237, 37-72. (10.1098/rstb.1952.0012) - DOI - PMC - PubMed
1. Pismen LM. 2006. Patterns and interfaces in dissipative dynamics. Berlin, Germany: Springer.
1. Johns LE, Narayanan R. 2002. Interfacial instability. New York, NY: Springer.

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[1] Faraday M. 1831. On a peculiar class of acoustic figures, and on certain forms assumed by a group of particles upon elastic surfaces. Phil. Trans. R. Soc. Lond. A 121, 299-318. (10.1098/rstl.1831.0018) - DOI

[2] Faraday M. 1831. On a peculiar class of acoustic figures, and on certain forms assumed by a group of particles upon elastic surfaces. Phil. Trans. R. Soc. Lond. A 121, 299-318. (10.1098/rstl.1831.0018) - DOI

[3] Bénard H. 1900. Les tourbillons cellulaires dans une nappe liquide. Rev. Gen. Sci. Pures Appl. 11, 1261-1271.

[4] Bénard H. 1900. Les tourbillons cellulaires dans une nappe liquide. Rev. Gen. Sci. Pures Appl. 11, 1261-1271.

[5] Turing AM. 1952. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. B 237, 37-72. (10.1098/rstb.1952.0012) - DOI - PMC - PubMed

[6] Turing AM. 1952. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. B 237, 37-72. (10.1098/rstb.1952.0012) - DOI - PMC - PubMed

[7] Pismen LM. 2006. Patterns and interfaces in dissipative dynamics. Berlin, Germany: Springer.

[8] Pismen LM. 2006. Patterns and interfaces in dissipative dynamics. Berlin, Germany: Springer.

[9] Johns LE, Narayanan R. 2002. Interfacial instability. New York, NY: Springer.

[10] Johns LE, Narayanan R. 2002. Interfacial instability. New York, NY: Springer.

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Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'

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Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'

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