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Discrete & Continuous Dynamical Systems - B

October 2015 , Volume 20 , Issue 8

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

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Computational methods for Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2015, 20(8): i-ii doi: 10.3934/dcdsb.2015.20.8i +[Abstract](1185) +[PDF](95.7KB)
Review on computational methods for Lyapunov functions
Peter Giesl and Sigurdur Hafstein
2015, 20(8): 2291-2331 doi: 10.3934/dcdsb.2015.20.2291 +[Abstract](1667) +[PDF](948.3KB)
Classical converse theorems in Lyapunov's second method
Christopher M. Kellett
2015, 20(8): 2333-2360 doi: 10.3934/dcdsb.2015.20.2333 +[Abstract](1199) +[PDF](606.5KB)
Advances in computational Lyapunov analysis using sum-of-squares programming
James Anderson and Antonis Papachristodoulou
2015, 20(8): 2361-2381 doi: 10.3934/dcdsb.2015.20.2361 +[Abstract](965) +[PDF](592.9KB)
Polynomial optimization with applications to stability analysis and control - Alternatives to sum of squares
Reza Kamyar and Matthew M. Peet
2015, 20(8): 2383-2417 doi: 10.3934/dcdsb.2015.20.2383 +[Abstract](1221) +[PDF](1592.3KB)
Efficient computation of Lyapunov functions for Morse decompositions
Arnaud Goullet, Shaun Harker, Konstantin Mischaikow, William D. Kalies and Dinesh Kasti
2015, 20(8): 2419-2451 doi: 10.3934/dcdsb.2015.20.2419 +[Abstract](1026) +[PDF](3150.6KB)
Grid refinement in the construction of Lyapunov functions using radial basis functions
Najla Mohammed and Peter Giesl
2015, 20(8): 2453-2476 doi: 10.3934/dcdsb.2015.20.2453 +[Abstract](873) +[PDF](1393.5KB)
Computation of local ISS Lyapunov functions with low gains via linear programming
Huijuan Li, Robert Baier, Lars Grüne, Sigurdur F. Hafstein and Fabian R. Wirth
2015, 20(8): 2477-2495 doi: 10.3934/dcdsb.2015.20.2477 +[Abstract](1020) +[PDF](665.7KB)
Separable Lyapunov functions for monotone systems: Constructions and limitations
Gunther Dirr, Hiroshi Ito, Anders Rantzer and Björn S. Rüffer
2015, 20(8): 2497-2526 doi: 10.3934/dcdsb.2015.20.2497 +[Abstract](972) +[PDF](707.0KB)
On the homogenization of multicomponent transport
Grégoire Allaire and Harsha Hutridurga
2015, 20(8): 2527-2551 doi: 10.3934/dcdsb.2015.20.2527 +[Abstract](825) +[PDF](531.4KB)
Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $H\in (1/3,1/2]$
María J. Garrido–Atienza, Kening Lu and Björn Schmalfuss
2015, 20(8): 2553-2581 doi: 10.3934/dcdsb.2015.20.2553 +[Abstract](1119) +[PDF](556.2KB)
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
Yingwen Guo and Yinnian He
2015, 20(8): 2583-2609 doi: 10.3934/dcdsb.2015.20.2583 +[Abstract](1228) +[PDF](507.4KB)
Local well-posedness and small Deborah limit of a molecule-based $Q$-tensor system
Sirui Li, Wei Wang and Pingwen Zhang
2015, 20(8): 2611-2655 doi: 10.3934/dcdsb.2015.20.2611 +[Abstract](997) +[PDF](702.5KB)
Analytic integrability of a class of planar polynomial differential systems
Jaume Llibre and Claudia Valls
2015, 20(8): 2657-2661 doi: 10.3934/dcdsb.2015.20.2657 +[Abstract](862) +[PDF](278.4KB)
Balancing survival and extinction in nonautonomous competitive Lotka-Volterra systems with infinite delays
Francisco Montes de Oca and Liliana Pérez
2015, 20(8): 2663-2690 doi: 10.3934/dcdsb.2015.20.2663 +[Abstract](934) +[PDF](518.4KB)
Coexistence solutions of a competition model with two species in a water column
Hua Nie, Sze-Bi Hsu and Jianhua Wu
2015, 20(8): 2691-2714 doi: 10.3934/dcdsb.2015.20.2691 +[Abstract](933) +[PDF](534.6KB)
Long time dynamics of a multidimensional nonlinear lattice with memory
Jáuber Cavalcante Oliveira, Jardel Morais Pereira and Gustavo Perla Menzala
2015, 20(8): 2715-2732 doi: 10.3934/dcdsb.2015.20.2715 +[Abstract](960) +[PDF](452.3KB)
Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping
Lei Wang, Zhong-Jie Han and Gen-Qi Xu
2015, 20(8): 2733-2750 doi: 10.3934/dcdsb.2015.20.2733 +[Abstract](1110) +[PDF](357.3KB)
Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
Qingshan Zhang and Yuxiang Li
2015, 20(8): 2751-2759 doi: 10.3934/dcdsb.2015.20.2751 +[Abstract](1065) +[PDF](374.1KB)
A note on 'Spin-polarized transport: Existence of weak solutions'
Carlos J. García-Cervera and Xiao-Ping Wang
2015, 20(8): 2761-2763 doi: 10.3934/dcdsb.2015.20.2761 +[Abstract](840) +[PDF](250.3KB)

2017  Impact Factor: 0.972

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