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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Volume 20,Number 8,     October 2015

Special Section Papers: 2291-2526; Regular Papers: 2527-2763

Special Section Papers are related to the Special Section on computational methods for Lyapunov functions
    Guest Editors: Peter Giesl and Sigurdur Hafstein

1

Computational methods for Lyapunov functions    Pages : i - ii

Peter Giesl and Sigurdur Hafstein

 Abstract       Full Text      Related Articles

2

Review on computational methods for Lyapunov functions    Pages : 2291 - 2331

Peter Giesl and Sigurdur Hafstein

 Abstract       References       Full Text      Related Articles

3

Classical converse theorems in Lyapunov's second method    Pages : 2333 - 2360

Christopher M. Kellett

 Abstract       References       Full Text            Related Articles

4

Advances in computational Lyapunov analysis using sum-of-squares programming    Pages : 2361 - 2381

James Anderson and Antonis Papachristodoulou

 Abstract       References       Full Text      Related Articles

5

Polynomial optimization with applications to stability analysis and control - Alternatives to sum of squares    Pages : 2383 - 2417

Reza Kamyar and Matthew M. Peet

 Abstract       References       Full Text      Related Articles

6

Efficient computation of Lyapunov functions for Morse decompositions    Pages : 2419 - 2451

Arnaud Goullet,  Shaun Harker,  Konstantin Mischaikow,  William D. Kalies and Dinesh Kasti

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7

Grid refinement in the construction of Lyapunov functions using radial basis functions    Pages : 2453 - 2476

Najla Mohammed and Peter Giesl

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8

Computation of local ISS Lyapunov functions with low gains via linear programming    Pages : 2477 - 2495

Huijuan Li,  Robert Baier,  Lars Grüne,  Sigurdur F. Hafstein and Fabian R. Wirth

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9

Separable Lyapunov functions for monotone systems: Constructions and limitations    Pages : 2497 - 2526

Gunther Dirr,  Hiroshi Ito,  Anders Rantzer and Björn S. Rüffer

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10

On the homogenization of multicomponent transport    Pages : 2527 - 2551

Grégoire Allaire and Harsha Hutridurga

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11

Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $H\in (1/3,1/2]$    Pages : 2553 - 2581

María J. Garrido–Atienza,  Kening Lu and Björn Schmalfuss

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12

Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one    Pages : 2583 - 2609

Yingwen Guo and Yinnian He

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13

Local well-posedness and small Deborah limit of a molecule-based $Q$-tensor system    Pages : 2611 - 2655

Sirui Li,  Wei Wang and Pingwen Zhang

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14

Analytic integrability of a class of planar polynomial differential systems    Pages : 2657 - 2661

Jaume Llibre and Claudia Valls

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15

Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems with infinite delays    Pages : 2663 - 2690

Francisco Montes de Oca and Liliana Pérez

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16

Coexistence solutions of a competition model with two species in a water column    Pages : 2691 - 2714

Hua Nie,  Sze-Bi Hsu and Jianhua Wu

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17

Long time dynamics of a multidimensional nonlinear lattice with memory    Pages : 2715 - 2732

Jáuber Cavalcante Oliveira,  Jardel Morais Pereira and Gustavo Perla Menzala

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18

Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping    Pages : 2733 - 2750

Lei Wang,  Zhong-Jie Han and Gen-Qi Xu

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19

Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system    Pages : 2751 - 2759

Qingshan Zhang and Yuxiang Li

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20

A note on 'Spin-polarized transport: Existence of weak solutions'    Pages : 2761 - 2763

Carlos J. García-Cervera and Xiao-Ping Wang

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