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Compressed sensing and dynamic mode decomposition

Journal of Computational Dynamics  Volume 2, Issue 2, Pages : 165 - 191, 2016

Steven L. Brunton - (email), Joshua L. Proctor - (email), Jonathan H. Tu - (email), J. Nathan Kutz - (email)

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A logistic equation with nonlocal interactions

Kinetic and Related Models  Volume 10, Issue 1, Pages : 141 - 170, 2016

Luis Caffarelli - (email), Serena Dipierro - (email), Enrico Valdinoci - (email)

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Towards tensor-based methods for the numerical approximation of the Perron--Frobenius and Koopman operator

Journal of Computational Dynamics  Volume 3, Issue 2, Pages : 2 - 2, 2016

Stefan Klus - (email), Christof Schütte - (email)

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Stability of traveling waves for autocatalytic reaction systems with strong decay

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 1 - 1, 2016

Yaping Wu - (email), Niannian Yan - (email)

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On the numerical approximation of the Perron-Frobenius and Koopman operator

Journal of Computational Dynamics  Volume 3, Issue 1, Pages : 51 - 79, 2016

Stefan Klus - (email), Péter Koltai - (email), Christof Schütte - (email)

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A kernel-based method for data-driven koopman spectral analysis

Journal of Computational Dynamics  Volume 2, Issue 2, Pages : 247 - 265, 2016

Matthew O. Williams - (email), Clarence W. Rowley - (email), Ioannis G. Kevrekidis - (email)

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The stability of bifurcating steady states of several classes of chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 231 - 248, 2014

Qian Xu - (email)

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The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5271 - 5298, 2014

Wei-Ming Ni - (email), Yaping Wu - (email), Qian Xu - (email)

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9

Exponential stability of the traveling fronts for a viscous Fisher-KPP equation

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 801 - 815, 2014

Lina Wang - (email), Xueli Bai - (email), Yang Cao - (email)

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10

Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 631 - 667, 2013

Nicolas Fourrier - (email), Irena Lasiecka - (email)

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11

Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators

Kinetic and Related Models  Volume 6, Issue 3, Pages : 625 - 648, 2013

Nicolas Lerner - (email), Yoshinori Morimoto - (email), Karel Pravda-Starov - (email), Chao-Jiang Xu - (email)

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12

Uniqueness of positive steady state solutions to the unstirred chemostat model with external inhibitor

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1279 - 1297, 2012

Hua Nie - (email), Wenhao Xie - (email), Jian-Hua Wu - (email)

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13

Stability results for a size-structured population model with delayed birth process

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 109 - 131, 2012

Xianlong Fu - (email), Dongmei Zhu - (email)

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14

Spectral analysis of time changes of horocycle flows

Journal of Modern Dynamics  Volume 6, Issue 2, Pages : 275 - 285, 2012

Rafael Tiedra De Aldecoa - (email)

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15

Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 229 - 241, 2011

Yuriy Golovaty - (email), Anna Marciniak-Czochra - (email), Mariya Ptashnyk - (email)

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16

Stability of travelling waves with noncritical speeds for double degenerate Fisher-Type equations

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 1, Pages : 149 - 170, 2008

Yi Li - (email), Yaping Wu - (email)

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Spectral analysis and limit behaviours in a spring-mass system

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 563 - 577, 2008

M. Pellicer - (email), J. Solà-Morales - (email)

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18

Stability of traveling waves with critical speeds for $P$-degree Fisher-type equations

Discrete and Continuous Dynamical Systems  Volume 20, Issue 4, Pages : 1123 - 1139, 2008

Yaping Wu - (email), Xiuxia Xing - (email)

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19

Asymptotic behavior of size-structured populations via juvenile-adult interaction

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 249 - 266, 2007

József Z. Farkas - (email), Thomas Hagen - (email)

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20

On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 859 - 883, 2007

Eugenia Pérez - (email)

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21

Stability of travelling waves with algebraic decay for $n$-degree Fisher-type equations

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 47 - 66, 2006

Yaping Wu - (email), Xiuxia Xing - (email), Qixiao Ye - (email)

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