Publications

Universal wrinkling of supported elastic rings

Published in Physical Review Letters, 2022

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Recommended citation: Benjamin Foster, Nicol{\'a}s Verschueren, Edgar Knobloch, Leonardo Gordillo (2022) "Universal wrinkling of supported elastic rings." Physical Review Letters. 129, 164301.

Stationary broken parity states in nonvariational models

Published in arXiv preprint arXiv:2205.14364, 2022

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Recommended citation: Tobias Frohoff-H{\"u}lsmann, Max Philipp Holl, Edgar Knobloch, Svetlana V Gurevich, Uwe Thiele (2022) "Stationary broken parity states in nonvariational models." arXiv preprint arXiv:2205.14364.

Localized states in passive and active phase-field-crystal models

Published in IMA Journal of Applied Mathematics, 2021

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Recommended citation: Max Philipp Holl, Andrew J Archer, Svetlana V Gurevich, Edgar Knobloch, Lukas Ophaus, Uwe Thiele (2021) "Localized states in passive and active phase-field-crystal models." IMA Journal of Applied Mathematics. 86, 896--923.

Chaotic motion of localized structures

Published in Physical Review E, 2020

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Recommended citation: AJ Alvarez-Socorro, Marcel G Clerc, Michel Ferr{\'e}, Edgar Knobloch (2020) "Chaotic motion of localized structures." Physical Review E. 101, 042212.

Stability of spiral chimera states on a torus

Published in SIAM Journal on Applied Dynamical Systems, 2018

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Recommended citation: Oleh E Omel'chenko, Matthias Wolfrum, Edgar Knobloch (2018) "Stability of spiral chimera states on a torus." SIAM Journal on Applied Dynamical Systems. 17, 97--127.

Spatially localized structures in the Gray–Scott model

Published in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018

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Recommended citation: Punit Gandhi, Yuval R Zelnik, Edgar Knobloch (2018) "Spatially localized structures in the Gray--Scott model." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 20170375.

Implications of tristability in pattern-forming ecosystems

Published in Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018

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Recommended citation: Yuval R Zelnik, Punit Gandhi, Edgar Knobloch, Ehud Meron (2018) "Implications of tristability in pattern-forming ecosystems." Chaos: An Interdisciplinary Journal of Nonlinear Science. 28, 033609.

Gap solitons and forced snaking

Published in Physical Review E, 2018

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Recommended citation: Benjamin C Ponedel, Edgar Knobloch (2018) "Gap solitons and forced snaking." Physical Review E. 98, 062215.

Slanted snaking of localized Faraday waves

Published in Physical Review Fluids, 2017

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Recommended citation: Basti{\'a}n Pradenas, Isidora Araya, Marcel G Clerc, Claudio Falc{\'o}n, Punit Gandhi, Edgar Knobloch (2017) "Slanted snaking of localized Faraday waves." Physical Review Fluids. 2, 064401.

Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system

Published in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017

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Recommended citation: Daniele Avitabile, Mathieu Desroches, Edgar Knobloch, Martin Krupa (2017) "Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 473, 20170018.

Stability on time-dependent domains

Published in Journal of Nonlinear Science, 2014

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Recommended citation: Edgar Knobloch, Rouslan Krechetnikov (2014) "Stability on time-dependent domains." Journal of Nonlinear Science. 24, 493--523.

Travelling convectons in binary fluid convection

Published in Journal of fluid mechanics, 2013

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Recommended citation: Isabel Mercader, Oriol Batiste, Arantxa Alonso, Edgar Knobloch (2013) "Travelling convectons in binary fluid convection." Journal of fluid mechanics. 722, 240--266.

Convectons in a rotating fluid layer

Published in Journal of Fluid Mechanics, 2013

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Recommended citation: C{\'e}dric Beaume, Alain Bergeon, Hsien-Ching Kao, Edgar Knobloch (2013) "Convectons in a rotating fluid layer." Journal of Fluid Mechanics. 717, 417--448.

Spatially localized magnetoconvection

Published in Fluid Dynamics Research, 2012

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Recommended citation: D Lo Jacono, Alain Bergeon, Edgar Knobloch (2012) "Spatially localized magnetoconvection." Fluid Dynamics Research. 44, 031411.

Depinning, front motion, and phase slips

Published in Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012

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Recommended citation: Y-P Ma, Edgar Knobloch (2012) "Depinning, front motion, and phase slips." Chaos: An Interdisciplinary Journal of Nonlinear Science. 22, 033101.

Magnetohydrodynamic convectons

Published in Journal of fluid mechanics, 2011

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Recommended citation: David Lo Jacono, Alain Bergeon, Edgar Knobloch (2011) "Magnetohydrodynamic convectons." Journal of fluid mechanics. 687, 595--605.

Dissipative solitons in binary fluid convection

Published in Discrete & Continuous Dynamical Systems-S, 2011

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Recommended citation: Isabel Mercader, Oriol Batiste, Arantxa Alonso, Edgar Knobloch (2011) "Dissipative solitons in binary fluid convection." Discrete & Continuous Dynamical Systems-S. 4, 1213.

Magnetorotational instability: recent developments

Published in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010

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Recommended citation: Keith Julien, Edgar Knobloch (2010) "Magnetorotational instability: recent developments." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 368, 1607--1633.

Unfolding a tangent equilibrium-to-periodic heteroclinic cycle

Published in SIAM Journal on Applied Dynamical Systems, 2009

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Recommended citation: Alan R Champneys, Vivien Kirk, Edgar Knobloch, Bart E Oldeman, Jens DM Rademacher (2009) "Unfolding a tangent equilibrium-to-periodic heteroclinic cycle." SIAM Journal on Applied Dynamical Systems. 8, 1261--1304.

Convectons in periodic and bounded domains

Published in Fluid dynamics research, 2009

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Recommended citation: Isabel Mercader, Oriol Batiste, Arantxa Alonso, Edgar Knobloch (2009) "Convectons in periodic and bounded domains." Fluid dynamics research. 42, 025505.

When Shil'nikov meets Hopf in excitable systems

Published in SIAM Journal on Applied Dynamical Systems, 2007

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Recommended citation: Alan R Champneys, Vivien Kirk, Edgar Knobloch, Bart E Oldeman, James Sneyd (2007) "When Shil'nikov meets Hopf in excitable systems." SIAM Journal on Applied Dynamical Systems. 6, 663--693.

Homoclinic snaking: structure and stability

Published in Chaos: An Interdisciplinary Journal of Nonlinear Science, 2007

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Recommended citation: John Burke, Edgar Knobloch (2007) "Homoclinic snaking: structure and stability." Chaos: An Interdisciplinary Journal of Nonlinear Science. 17, 037102.

Spatially localized binary-fluid convection

Published in Journal of Fluid Mechanics, 2006

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Recommended citation: Oriol Batiste, Edgar Knobloch, Arantxa Alonso, Isabel Mercader (2006) "Spatially localized binary-fluid convection." Journal of Fluid Mechanics. 560, 149--158.

Solitary dynamo waves

Published in Physics Letters A, 2006

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Recommended citation: Joanne Mason, Edgar Knobloch (2006) "Solitary dynamo waves." Physics Letters A. 355, 110--117.

Long dynamo waves

Published in Physica D: Nonlinear Phenomena, 2005

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Recommended citation: Joanne Mason, Edgar Knobloch (2005) "Long dynamo waves." Physica D: Nonlinear Phenomena. 205, 100--124.

John David Crawford

Published in Physics Today, 1999

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Recommended citation: Edgar Knobloch, Henry Abarbanel, Frank Tabakin (1999) "John David Crawford." Physics Today. 52, 81.

Chaotic direction-reversing waves

Published in Physics Letters A, 1999

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Recommended citation: Edgar Knobloch, Adam S Landsberg, Jeff Moehlis (1999) "Chaotic direction-reversing waves." Physics Letters A. 255, 287--293.

Rotating convection: recent developments

Published in International journal of engineering science, 1998

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Recommended citation: Edgar Knobloch (1998) "Rotating convection: recent developments." International journal of engineering science. 36, 1421--1450.

Transition to Chaos in Doubly Diffusive Systems

Published in Double-Diffusive Processes 1996 Summer Study Program in Geophysical Fluid Dynamics, 1997

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Recommended citation: Edgar Knobloch (1997) "Transition to Chaos in Doubly Diffusive Systems." Double-Diffusive Processes 1996 Summer Study Program in Geophysical Fluid Dynamics.

Dynamo waves in semi–infinite and finite domains

Published in Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997

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Recommended citation: Daniel Worledge, Edgar Knobloch, Steven Tobias, Michael Proctor (1997) "Dynamo waves in semi--infinite and finite domains." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 453, 119--143.

Travelling wave convection in a rotating layer

Published in Geophysical & Astrophysical Fluid Dynamics, 1990

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Recommended citation: Edgar Knobloch, Mary Silber (1990) "Travelling wave convection in a rotating layer." Geophysical & Astrophysical Fluid Dynamics. 51, 195--209.

Planform selection in rotating convection

Published in Physics of Fluids A: Fluid Dynamics, 1990

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Recommended citation: Harris F Goldstein, Edgar Knobloch, Mary Silber (1990) "Planform selection in rotating convection." Physics of Fluids A: Fluid Dynamics. 2, 625--627.

Time-modulated oscillatory convection

Published in Physical review letters, 1988

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Recommended citation: Hermann Riecke, John David Crawford, Edgar Knobloch (1988) "Time-modulated oscillatory convection." Physical review letters. 61, 1942.

Pattern selection in ferrofluids

Published in Physica D: Nonlinear Phenomena, 1988

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Recommended citation: Mary Silber, Edgar Knobloch (1988) "Pattern selection in ferrofluids." Physica D: Nonlinear Phenomena. 30, 83--98.

The Takens-Bogdanov bifurcation with O (2)-symmetry

Published in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1987

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Recommended citation: Gerhard Dangelmayr, Edgar Knobloch (1987) "The Takens-Bogdanov bifurcation with O (2)-symmetry." Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. 322, 243--279.

Doubly diffusive waves

Published in Contemp. Math., 1986

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Recommended citation: Edgar Knobloch (1986) "Doubly diffusive waves." Contemp. Math.. 56, 203--216.

Solutions of the equation of heat flow

Published in Monthly Notices of the Royal Astronomical Society, 1980

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Recommended citation: Steven H Margolis, Edgar Knobloch (1980) "Solutions of the equation of heat flow." Monthly Notices of the Royal Astronomical Society. 193, 345--351.

Tidal interaction of galaxies

Published in The Astrophysical Journal Supplement Series, 1978

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Recommended citation: Edgar Knobloch (1978) "Tidal interaction of galaxies." The Astrophysical Journal Supplement Series. 38, 253.

Tidal disruption of clusters

Published in The Astrophysical Journal, 1976

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Recommended citation: Edgar Knobloch (1976) "Tidal disruption of clusters." The Astrophysical Journal. 209, 411--417.