Kostianko, Anna; Zelik, Sergey Smooth extensions for inertial manifolds of semilinear parabolic equations. (English) Zbl 07818637 Anal. PDE 17, No. 2, 499-533 (2024). MSC: 35B40 35B42 37D10 37L25 PDFBibTeX XMLCite \textit{A. Kostianko} and \textit{S. Zelik}, Anal. PDE 17, No. 2, 499--533 (2024; Zbl 07818637) Full Text: DOI arXiv
Hu, Wenjie; Caraballo, Tomás Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations. (English) Zbl 07797095 J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024). MSC: 37L25 37L30 37L55 37B55 60H15 35R60 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024; Zbl 07797095) Full Text: DOI
Bonotto, Everaldo M.; Bortolan, Matheus C.; Pereira, Fabiano Lyapunov functions for dynamically gradient impulsive systems. (English) Zbl 07788943 J. Differ. Equations 384, 279-325 (2024). MSC: 37L05 37L15 37L25 PDFBibTeX XMLCite \textit{E. M. Bonotto} et al., J. Differ. Equations 384, 279--325 (2024; Zbl 07788943) Full Text: DOI
Nowak, Magdalena Pointwise attractors which are not strict. (English) Zbl 07786246 Indag. Math., New Ser. 35, No. 1, 119-130 (2024). MSC: 37B35 54C05 PDFBibTeX XMLCite \textit{M. Nowak}, Indag. Math., New Ser. 35, No. 1, 119--130 (2024; Zbl 07786246) Full Text: DOI arXiv
Ilyin, A.; Kalantarov, V.; Kostianko, A.; Zelik, S. Restoring the Navier–Stokes dynamics by determining functionals depending on pressure. arXiv:2402.09566 Preprint, arXiv:2402.09566 [math.AP] (2024). MSC: 35B40 35B42 37D10 37L25 BibTeX Cite \textit{A. Ilyin} et al., ``Restoring the Navier--Stokes dynamics by determining functionals depending on pressure'', Preprint, arXiv:2402.09566 [math.AP] (2024) Full Text: arXiv OA License
Bortolan, Matheus C.; Caraballo, Tomas; Neto, Carlos Pecorari Generalized exponential pullback attractor for a nonautonomous wave equation. arXiv:2401.06631 Preprint, arXiv:2401.06631 [math.DS] (2024). MSC: 35B41 35L20 37L25 BibTeX Cite \textit{M. C. Bortolan} et al., ``Generalized exponential pullback attractor for a nonautonomous wave equation'', Preprint, arXiv:2401.06631 [math.DS] (2024) Full Text: arXiv OA License
van den Berg, Jan Bouwe; Jaquette, Jonathan; Mireles James, Jason D. Validated numerical approximation of stable manifolds for parabolic partial differential equations. (English) Zbl 07781550 J. Dyn. Differ. Equations 35, No. 4, 3589-3649 (2023). MSC: 65M15 35B40 35B42 35K55 37L15 37L25 37L65 37M21 68V05 35Q35 PDFBibTeX XMLCite \textit{J. B. van den Berg} et al., J. Dyn. Differ. Equations 35, No. 4, 3589--3649 (2023; Zbl 07781550) Full Text: DOI arXiv
Wang, Rong-Nian; Zhao, Jia-Cheng The 3-D nonlinear hyperbolic-parabolic problems: invariant manifolds. (English) Zbl 07781535 J. Dyn. Differ. Equations 35, No. 4, 3113-3147 (2023). MSC: 35B42 35G61 37L25 PDFBibTeX XMLCite \textit{R.-N. Wang} and \textit{J.-C. Zhao}, J. Dyn. Differ. Equations 35, No. 4, 3113--3147 (2023; Zbl 07781535) Full Text: DOI
You, Bo Pullback exponential attractors for the three dimensional non-autonomous primitive equations of large scale ocean and atmosphere dynamics. (English) Zbl 1527.35093 Commun. Math. Sci. 21, No. 5, 1415-1445 (2023). MSC: 35B41 35Q86 37C60 37L25 37N10 PDFBibTeX XMLCite \textit{B. You}, Commun. Math. Sci. 21, No. 5, 1415--1445 (2023; Zbl 1527.35093) Full Text: DOI
Wang, Fengling; Li, Yangrong Mean-square invariant manifolds for stochastic weak-damping wave equations with nonlinear noise. (English) Zbl 07765955 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2649-2671 (2023). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L25 37L55 37L15 37H30 37D10 60H15 35B42 35R60 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Y. Li}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2649--2671 (2023; Zbl 07765955) Full Text: DOI
Wang, Rong-Nian; Wu, Jianhong; Zhao, Jia-Cheng Theory of invariant manifolds for infinite-dimensional nonautonomous dynamical systems and applications. (English) Zbl 07757945 SIAM J. Math. Anal. 55, No. 5, 5386-5431 (2023). MSC: 37L25 37D10 35B40 37C60 PDFBibTeX XMLCite \textit{R.-N. Wang} et al., SIAM J. Math. Anal. 55, No. 5, 5386--5431 (2023; Zbl 07757945) Full Text: DOI
Çilinger, Figen Petal numbers of rational maps. (English) Zbl 07750011 J. Contemp. Appl. Math. 13, No. 2, 1-11 (2023). MSC: 37F05 37F10 PDFBibTeX XMLCite \textit{F. Çilinger}, J. Contemp. Appl. Math. 13, No. 2, 1--11 (2023; Zbl 07750011) Full Text: DOI
Zhao, Jia-Cheng; Wang, Rong-Nian The invariant manifold approach applied to global long-time dynamics of FitzHugh-Nagumo systems. (English) Zbl 1523.35066 J. Differ. Equations 375, 120-155 (2023). MSC: 35B42 35K51 35K57 37L25 PDFBibTeX XMLCite \textit{J.-C. Zhao} and \textit{R.-N. Wang}, J. Differ. Equations 375, 120--155 (2023; Zbl 1523.35066) Full Text: DOI
Araújo, Vitor; Trindade, Edvan Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets. (English) Zbl 07729210 J. Dyn. Differ. Equations 35, No. 3, 2487-2536 (2023). Reviewer: Miguel Paternain (Montevideo) MSC: 37D05 37D45 37D25 37C40 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{E. Trindade}, J. Dyn. Differ. Equations 35, No. 3, 2487--2536 (2023; Zbl 07729210) Full Text: DOI arXiv
Pauthier, Antoine; Rademacher, Jens D. M.; Ulbrich, Dennis Weak and strong interaction of excitation kinks in scalar parabolic equations. (English) Zbl 1521.35111 J. Dyn. Differ. Equations 35, No. 3, 2199-2235 (2023). MSC: 35K58 35B05 35B51 37L25 PDFBibTeX XMLCite \textit{A. Pauthier} et al., J. Dyn. Differ. Equations 35, No. 3, 2199--2235 (2023; Zbl 1521.35111) Full Text: DOI arXiv
Ma, Hongyan; Gao, Hongjun Unstable manifolds for rough evolution equations. (English) Zbl 1525.37081 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 159, 36 p. (2023). MSC: 37L55 37L25 37L15 37H10 37D10 60H15 60H05 PDFBibTeX XMLCite \textit{H. Ma} and \textit{H. Gao}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 159, 36 p. (2023; Zbl 1525.37081) Full Text: DOI
Pötzsche, Christian Numerical dynamics of integrodifference equations: hierarchies of invariant bundles in \(L^p (\Omega)\). (English) Zbl 1515.65319 Numer. Funct. Anal. Optim. 44, No. 7, 653-686 (2023). MSC: 65P99 37J06 37L25 45M10 47H30 PDFBibTeX XMLCite \textit{C. Pötzsche}, Numer. Funct. Anal. Optim. 44, No. 7, 653--686 (2023; Zbl 1515.65319) Full Text: DOI arXiv
Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. (English) Zbl 07674591 SIAM J. Appl. Dyn. Syst. 22, No. 1, 199-234 (2023). MSC: 37L25 76D05 35Q35 PDFBibTeX XMLCite \textit{R.-N. Wang} et al., SIAM J. Appl. Dyn. Syst. 22, No. 1, 199--234 (2023; Zbl 07674591) Full Text: DOI
Araujo, Vitor; Cerqueira, Junilson On robust expansiveness for sectional hyperbolic attracting sets. (English) Zbl 1514.37045 Mosc. Math. J. 23, No. 1, 11-46 (2023). MSC: 37D05 37C20 37D30 PDFBibTeX XMLCite \textit{V. Araujo} and \textit{J. Cerqueira}, Mosc. Math. J. 23, No. 1, 11--46 (2023; Zbl 1514.37045) Full Text: arXiv Link
Araujo, Vitor On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets. (English) Zbl 1519.37031 J. Differ. Equations 354, 373-402 (2023). MSC: 37D25 37D05 37D30 37D20 37C40 37C70 PDFBibTeX XMLCite \textit{V. Araujo}, J. Differ. Equations 354, 373--402 (2023; Zbl 1519.37031) Full Text: DOI arXiv
Kalantarov, Varga; Kostianko, Anna; Zelik, Sergey Determining functionals and finite-dimensional reduction for dissipative PDEs revisited. (English) Zbl 1504.35071 J. Differ. Equations 345, 78-103 (2023). MSC: 35B40 35B42 35K58 35K90 37D10 37L25 PDFBibTeX XMLCite \textit{V. Kalantarov} et al., J. Differ. Equations 345, 78--103 (2023; Zbl 1504.35071) Full Text: DOI arXiv
Bortolan, Matheus C.; Caraballo, Tomas; Neto, Carlos Pecorari Generalized \(\varphi\)-pullback attractors for evolution processes and application to a nonautonomous wave equation. arXiv:2311.15630 Preprint, arXiv:2311.15630 [math.DS] (2023). MSC: 35B41 35L20 37L25 BibTeX Cite \textit{M. C. Bortolan} et al., ``Generalized $\varphi$-pullback attractors for evolution processes and application to a nonautonomous wave equation'', Preprint, arXiv:2311.15630 [math.DS] (2023) Full Text: arXiv OA License
Choi, Beomjun; Seis, Christian Finite-dimensional leading order dynamics for the fast diffusion equation near extinction. arXiv:2308.15032 Preprint, arXiv:2308.15032 [math.AP] (2023). MSC: 35K55 35B40 35J61 35Q79 37L25 80A19 BibTeX Cite \textit{B. Choi} and \textit{C. Seis}, ``Finite-dimensional leading order dynamics for the fast diffusion equation near extinction'', Preprint, arXiv:2308.15032 [math.AP] (2023) Full Text: arXiv OA License
Promislow, Keith; Ramadan, Abba Curvature and Chaos in the Defocusing Parameteric Nonlinear Schrodinger System. arXiv:2308.08635 Preprint, arXiv:2308.08635 [math.AP] (2023). MSC: 35B36 37L25 BibTeX Cite \textit{K. Promislow} and \textit{A. Ramadan}, ``Curvature and Chaos in the Defocusing Parameteric Nonlinear Schrodinger System'', Preprint, arXiv:2308.08635 [math.AP] (2023) Full Text: arXiv OA License
Buza, Gergely Spectral Submanifolds of the Navier-Stokes Equations. arXiv:2301.07898 Preprint, arXiv:2301.07898 [math.DS] (2023). MSC: 37L25 37L65 BibTeX Cite \textit{G. Buza}, ``Spectral Submanifolds of the Navier-Stokes Equations'', Preprint, arXiv:2301.07898 [math.DS] (2023) Full Text: arXiv OA License
Peng, Yarong; Li, Zhi; Xu, Liping Global attractiveness and quasi-invariant sets of impulsive neutral stochastic functional differential equations driven by tempered fractional Brownian motion. (English) Zbl 1524.60133 Ann. Appl. Math. 38, No. 4, 414-440 (2022). MSC: 60H10 60H15 60G22 PDFBibTeX XMLCite \textit{Y. Peng} et al., Ann. Appl. Math. 38, No. 4, 414--440 (2022; Zbl 1524.60133) Full Text: DOI
Bonfoh, Ahmed Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems. (English) Zbl 1496.35097 Evol. Equ. Control Theory 11, No. 4, 1399-1454 (2022). MSC: 35B42 35B25 35L81 35K25 37L25 47J35 80A22 82C26 PDFBibTeX XMLCite \textit{A. Bonfoh}, Evol. Equ. Control Theory 11, No. 4, 1399--1454 (2022; Zbl 1496.35097) Full Text: DOI
Lee, Jihoon; Morales, Carlos Gromov-Hausdorff stability of dynamical systems and applications to PDEs. (English) Zbl 1503.37001 Frontiers in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-12030-5/pbk; 978-3-031-12031-2/ebook). viii, 166 p. (2022). MSC: 37-02 35-02 37B02 37B25 37L15 37L25 35B20 35B35 54E40 54E45 54E50 PDFBibTeX XMLCite \textit{J. Lee} and \textit{C. Morales}, Gromov-Hausdorff stability of dynamical systems and applications to PDEs. Cham: Birkhäuser (2022; Zbl 1503.37001) Full Text: DOI
Ding, Yiming; Sun, Yun \(\alpha\)-limit sets and Lyapunov function for maps with one topological attractor. (English) Zbl 1513.37014 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 813-824 (2022). MSC: 37B25 37B35 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{Y. Sun}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 813--824 (2022; Zbl 1513.37014) Full Text: DOI arXiv
Kitaeva, Ol’ga Gennad’evna Invariant manifolds of semilinear Sobolev type equations. (English) Zbl 1492.35003 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 101-111 (2022). MSC: 35-02 35B42 35K70 35S10 37L25 PDFBibTeX XMLCite \textit{O. G. Kitaeva}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 1, 101--111 (2022; Zbl 1492.35003) Full Text: DOI MNR
Le, Anh Minh Inertial manifolds for functional differential equations with infinite delay. (English) Zbl 1487.34135 Asian-Eur. J. Math. 15, No. 3, Article ID 2250045, 14 p. (2022). MSC: 34K19 34K30 35K58 37L25 PDFBibTeX XMLCite \textit{A. M. Le}, Asian-Eur. J. Math. 15, No. 3, Article ID 2250045, 14 p. (2022; Zbl 1487.34135) Full Text: DOI
Sekatskaya, A. V. Second-kind equilibrium states of the Kuramoto-Sivashinsky equation with homogeneous Neumann boundary conditions. (English. Russian original) Zbl 1498.37122 J. Math. Sci., New York 262, No. 6, 844-854 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 80-90 (2019). MSC: 37L65 37L10 37L15 37L25 PDFBibTeX XMLCite \textit{A. V. Sekatskaya}, J. Math. Sci., New York 262, No. 6, 844--854 (2022; Zbl 1498.37122); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 80--90 (2019) Full Text: DOI
Kulikov, A. N. Bifurcations of invariant tori in second-order quasilinear evolution equations in Hilbert spaces and scenarios of transition to turbulence. (English. Russian original) Zbl 1498.37114 J. Math. Sci., New York 262, No. 6, 809-816 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 45-52 (2019). MSC: 37L10 37L25 37L15 PDFBibTeX XMLCite \textit{A. N. Kulikov}, J. Math. Sci., New York 262, No. 6, 809--816 (2022; Zbl 1498.37114); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 45--52 (2019) Full Text: DOI
Nguyen, Thieu Huy; Bui, Xuan-Quang On the existence and regularity of admissibly inertial manifolds with sectorial operators. (English) Zbl 1490.35049 Dyn. Syst. 37, No. 2, 295-327 (2022). MSC: 35B42 35K51 35K58 35K90 37L25 47D06 PDFBibTeX XMLCite \textit{T. H. Nguyen} and \textit{X.-Q. Bui}, Dyn. Syst. 37, No. 2, 295--327 (2022; Zbl 1490.35049) Full Text: DOI
Hummel, Felix; Kuehn, Christian Slow manifolds for infinite-dimensional evolution equations. (English) Zbl 1487.35035 Comment. Math. Helv. 97, No. 1, 61-132 (2022). MSC: 35B25 37D10 37L25 35A24 PDFBibTeX XMLCite \textit{F. Hummel} and \textit{C. Kuehn}, Comment. Math. Helv. 97, No. 1, 61--132 (2022; Zbl 1487.35035) Full Text: DOI arXiv
Cao, Yu; Jolly, Michael S.; Titi, Edriss S. A determining form for the 2D Rayleigh-Bénard problem. (English) Zbl 1483.35160 Pure Appl. Funct. Anal. 7, No. 1, 99-132 (2022). MSC: 35Q35 37L25 PDFBibTeX XMLCite \textit{Y. Cao} et al., Pure Appl. Funct. Anal. 7, No. 1, 99--132 (2022; Zbl 1483.35160) Full Text: arXiv Link
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions. (English) Zbl 1502.37084 Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022). MSC: 37L65 37L05 37L25 37K06 37K40 PDFBibTeX XMLCite \textit{J. Zhang}, Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022; Zbl 1502.37084) Full Text: DOI arXiv
Li, Zonghao; Zeng, Caibin; Huang, Jianhua Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise. (English) Zbl 1490.37095 J. Differ. Equations 313, 382-419 (2022). MSC: 37L55 37L30 37L25 35R25 60H15 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Differ. Equations 313, 382--419 (2022; Zbl 1490.37095) Full Text: DOI arXiv
Tavares, E. H. Gomes; Silva, M. A. Jorge; Narciso, V.; Vicente, A. Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models. arXiv:2210.16931 Preprint, arXiv:2210.16931 [math.AP] (2022). MSC: 35B40 35L75 37L25 BibTeX Cite \textit{E. H. G. Tavares} et al., ``Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models'', Preprint, arXiv:2210.16931 [math.AP] (2022) Full Text: arXiv OA License
Stone, Dominic; Zelik, Sergey The non-autonomous Navier-Stokes-Brinkman-Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors. arXiv:2210.05580 Preprint, arXiv:2210.05580 [math.AP] (2022). MSC: 35B40 35B42 37D10 37L25 BibTeX Cite \textit{D. Stone} and \textit{S. Zelik}, ``The non-autonomous Navier-Stokes-Brinkman-Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors'', Preprint, arXiv:2210.05580 [math.AP] (2022) Full Text: arXiv OA License
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions II. arXiv:2203.11053 Preprint, arXiv:2203.11053 [math.AP] (2022). MSC: 37L05 37L25 BibTeX Cite \textit{J. Zhang}, ``A generic framework of adiabatic approximation for nonlinear evolutions II'', Preprint, arXiv:2203.11053 [math.AP] (2022) Full Text: DOI arXiv OA License
Wang, Libo; Xu, Guigui; Lin, Guoguang Inertial manifolds for the higher-order Kirchhoff-type equation with time delay. (Chinese. English summary) Zbl 1488.35107 J. Anhui Univ., Nat. Sci. 45, No. 4, 8-16 (2021). MSC: 35B42 37L25 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Anhui Univ., Nat. Sci. 45, No. 4, 8--16 (2021; Zbl 1488.35107) Full Text: DOI
Liu, Xianming Random invariant manifolds of stochastic evolution equations driven by Gaussian and non-Gaussian noises. (English) Zbl 1490.60203 J. Math. Phys. 62, No. 11, Article ID 112702, 20 p. (2021). MSC: 60H30 60G51 60H10 37L25 PDFBibTeX XMLCite \textit{X. Liu}, J. Math. Phys. 62, No. 11, Article ID 112702, 20 p. (2021; Zbl 1490.60203) Full Text: DOI
Vu, Thi Ngoc Ha; Nguyen, Thieu Huy; Le, Anh Minh Admissible inertial manifolds for neutral equations and applications. (English) Zbl 1484.37087 Dyn. Syst. 36, No. 4, 608-630 (2021). MSC: 37L25 34K40 35R10 PDFBibTeX XMLCite \textit{T. N. H. Vu} et al., Dyn. Syst. 36, No. 4, 608--630 (2021; Zbl 1484.37087) Full Text: DOI
Shi, Lin; Li, Dingshi; Lu, Kening Limiting behavior of unstable manifolds for SPDEs in varying phase spaces. (English) Zbl 1484.37091 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6311-6337 (2021). MSC: 37L55 37L15 37L25 35R60 60H15 PDFBibTeX XMLCite \textit{L. Shi} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6311--6337 (2021; Zbl 1484.37091) Full Text: DOI
Bakka, Abdelfouad; Hajji, Salah Global attracting sets of stochastic functional differential equations driven by a square integrable Lévy martingale. (English) Zbl 1488.60163 Afr. Mat. 32, No. 7-8, 1173-1178 (2021). MSC: 60H15 PDFBibTeX XMLCite \textit{A. Bakka} and \textit{S. Hajji}, Afr. Mat. 32, No. 7--8, 1173--1178 (2021; Zbl 1488.60163) Full Text: DOI
Bakka, A.; Hajji, S.; Kiouach, D. Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion. (English) Zbl 1479.60142 Random Oper. Stoch. Equ. 29, No. 3, 149-159 (2021). MSC: 60H20 60H15 60G22 PDFBibTeX XMLCite \textit{A. Bakka} et al., Random Oper. Stoch. Equ. 29, No. 3, 149--159 (2021; Zbl 1479.60142) Full Text: DOI
Kwak, Minkyu; Sun, Xiuxiu Remarks on the existence of an inertial manifold. (English) Zbl 1489.37089 J. Korean Math. Soc. 58, No. 5, 1261-1277 (2021). Reviewer: Raphaël Danchin (Paris) MSC: 37L25 35B30 35B40 35B42 35Q30 PDFBibTeX XMLCite \textit{M. Kwak} and \textit{X. Sun}, J. Korean Math. Soc. 58, No. 5, 1261--1277 (2021; Zbl 1489.37089) Full Text: DOI
Zeng, Caibin; Lin, Xiaofang; Cui, Hongyong Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise. (English) Zbl 1481.37095 Stoch. Dyn. 21, No. 5, Article ID 2150020, 39 p. (2021). MSC: 37L55 37L30 60G22 60H15 37L25 35R60 PDFBibTeX XMLCite \textit{C. Zeng} et al., Stoch. Dyn. 21, No. 5, Article ID 2150020, 39 p. (2021; Zbl 1481.37095) Full Text: DOI
Zhao, Junyilang; Shen, Jun Smooth invariant manifolds for a randomly perturbed non-autonomous coupled system and their approximations. (English) Zbl 1481.37096 J. Differ. Equations 303, 86-122 (2021). MSC: 37L55 37L50 37L25 60H15 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Shen}, J. Differ. Equations 303, 86--122 (2021; Zbl 1481.37096) Full Text: DOI
Yang, Xiangdong Invariant manifolds for nonautonomous stochastic evolution equation. (English) Zbl 1484.60071 Osaka J. Math. 58, No. 3, 711-729 (2021). Reviewer: Latifa Debbi (M’Sila) MSC: 60H15 37D10 37L25 37L55 60J65 PDFBibTeX XMLCite \textit{X. Yang}, Osaka J. Math. 58, No. 3, 711--729 (2021; Zbl 1484.60071) Full Text: Link
Engel, Maximilian; Hummel, Felix; Kuehn, Christian Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions. (English) Zbl 1481.37092 Proc. Am. Math. Soc., Ser. B 8, 252-266 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 37L15 37L25 37L65 34E15 35K57 PDFBibTeX XMLCite \textit{M. Engel} et al., Proc. Am. Math. Soc., Ser. B 8, 252--266 (2021; Zbl 1481.37092) Full Text: DOI arXiv
You, Bo Pullback exponential attractors for some non-autonomous dissipative dynamical systems. (English) Zbl 1487.37090 Math. Methods Appl. Sci. 44, No. 13, 10361-10386 (2021). Reviewer: Stefanie Sonner (Nijmegen) MSC: 37L30 37C60 35B41 37L25 35Q86 37N10 PDFBibTeX XMLCite \textit{B. You}, Math. Methods Appl. Sci. 44, No. 13, 10361--10386 (2021; Zbl 1487.37090) Full Text: DOI
Shen, Wenxian; Wang, Yi; Zhou, Dun Non-wandering points for autonomous/periodic parabolic equations on the circle. (English) Zbl 1469.35040 J. Differ. Equations 297, 110-143 (2021). MSC: 35B40 35K57 37L25 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Differ. Equations 297, 110--143 (2021; Zbl 1469.35040) Full Text: DOI arXiv
Lee, Jihoon; Nguyen, Ngocthach Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation. (English) Zbl 1460.37071 J. Math. Anal. Appl. 494, No. 2, Article ID 124623, 24 p. (2021). MSC: 37L25 37L15 37B25 PDFBibTeX XMLCite \textit{J. Lee} and \textit{N. Nguyen}, J. Math. Anal. Appl. 494, No. 2, Article ID 124623, 24 p. (2021; Zbl 1460.37071) Full Text: DOI arXiv
Carvalho, Alexandre N.; Lappicy, Phillipo; Moreira, Estefani M.; Oliveira-Sousa, Alexandre N. A Unified Theory for Inertial Manifolds, Saddle Point Property and Exponential Dichotomy. arXiv:2111.11469 Preprint, arXiv:2111.11469 [math.AP] (2021). MSC: 35B42 37L45 37D10 37L25 BibTeX Cite \textit{A. N. Carvalho} et al., ``A Unified Theory for Inertial Manifolds, Saddle Point Property and Exponential Dichotomy'', Preprint, arXiv:2111.11469 [math.AP] (2021) Full Text: arXiv OA License
Nandi, Santanu Dynamics of the family \(\lambda \tan z^2\). (English) Zbl 1513.37032 Far East J. Dyn. Syst. 32, No. 2, 67-91 (2020). MSC: 37F10 37F20 PDFBibTeX XMLCite \textit{S. Nandi}, Far East J. Dyn. Syst. 32, No. 2, 67--91 (2020; Zbl 1513.37032) Full Text: DOI arXiv
Sun, Xiuxiu An inertial manifold for a non-self adjoint system. (English) Zbl 1469.35052 Honam Math. J. 42, No. 4, 821-828 (2020). MSC: 35B42 35B40 35K90 37L25 47J35 PDFBibTeX XMLCite \textit{X. Sun}, Honam Math. J. 42, No. 4, 821--828 (2020; Zbl 1469.35052) Full Text: DOI
Le, Anh Minh Inertial manifolds for neutral functional differential equations with infinite delay and applications. (English) Zbl 1467.35059 Ann. Pol. Math. 125, No. 3, 255-271 (2020). MSC: 35B42 35B40 37L25 35K58 35R10 PDFBibTeX XMLCite \textit{A. M. Le}, Ann. Pol. Math. 125, No. 3, 255--271 (2020; Zbl 1467.35059) Full Text: DOI
Le, Anh Minh Admissible inertial manifolds for second order in time evolution equations. (English) Zbl 1474.35134 Khayyam J. Math. 6, No. 2, 155-173 (2020). MSC: 35B42 37L25 35L90 PDFBibTeX XMLCite \textit{A. M. Le}, Khayyam J. Math. 6, No. 2, 155--173 (2020; Zbl 1474.35134)
Webster, Justin T. Attractors and determining functionals for a flutter model: finite dimensionality out of thin air. (English) Zbl 1457.74059 Pure Appl. Funct. Anal. 5, No. 1, 85-119 (2020). MSC: 74F10 35M33 35B41 35Q74 37L25 PDFBibTeX XMLCite \textit{J. T. Webster}, Pure Appl. Funct. Anal. 5, No. 1, 85--119 (2020; Zbl 1457.74059) Full Text: arXiv Link
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian Transversality in the setting of hyperbolic and parabolic maps. (English) Zbl 1465.37059 J. Anal. Math. 141, No. 1, 247-284 (2020). MSC: 37F12 37F10 PDFBibTeX XMLCite \textit{G. Levin} et al., J. Anal. Math. 141, No. 1, 247--284 (2020; Zbl 1465.37059) Full Text: DOI arXiv
Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. (English) Zbl 1454.58010 J. Lond. Math. Soc., II. Ser. 102, No. 1, 287-318 (2020). MSC: 58D25 47H06 37L25 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., J. Lond. Math. Soc., II. Ser. 102, No. 1, 287--318 (2020; Zbl 1454.58010) Full Text: DOI Link
Jendoubi, C. On the theory of integral manifolds for some delayed partial differential equations with nondense domain. (English) Zbl 1453.35176 Ukr. Math. J. 72, No. 6, 900-916 (2020) and Ukr. Mat. Zh. 72, No. 6, 776-789 (2020). MSC: 35R10 35L90 35K90 35B42 37L25 PDFBibTeX XMLCite \textit{C. Jendoubi}, Ukr. Math. J. 72, No. 6, 900--916 (2020; Zbl 1453.35176) Full Text: DOI
Cakir, Hayriye Guckir; Promislow, Keith Gradient invariance of slow energy descent: spectral renormalization and energy landscape techniques. (English) Zbl 1452.35031 Nonlinearity 33, No. 12, 6890-6914 (2020). MSC: 35B40 35K90 35L90 37L25 PDFBibTeX XMLCite \textit{H. G. Cakir} and \textit{K. Promislow}, Nonlinearity 33, No. 12, 6890--6914 (2020; Zbl 1452.35031) Full Text: DOI arXiv
Cheng, Hongyu; de la Llave, Rafael Time dependent center manifold in PDEs. (English) Zbl 1452.35043 Discrete Contin. Dyn. Syst. 40, No. 12, 6709-6745 (2020). MSC: 35B42 35B15 35R25 37L10 35J60 47J06 37L25 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. de la Llave}, Discrete Contin. Dyn. Syst. 40, No. 12, 6709--6745 (2020; Zbl 1452.35043) Full Text: DOI
Shen, Wenxian; Wang, Yi; Zhou, Dun Almost automorphically and almost periodically forced circle flows of almost periodic parabolic equations on \(S^1\). (English) Zbl 1452.35078 J. Dyn. Differ. Equations 32, No. 4, 1687-1729 (2020). MSC: 35K58 35K20 35B15 37L25 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Dyn. Differ. Equations 32, No. 4, 1687--1729 (2020; Zbl 1452.35078) Full Text: DOI arXiv
Chen, Yuan; Doelman, Arjen; Promislow, Keith; Veerman, Frits Robust stability of multicomponent membranes: the role of glycolipids. (English) Zbl 1450.35028 Arch. Ration. Mech. Anal. 238, No. 3, 1521-1557 (2020). MSC: 35B25 37L25 35A15 35K58 35B40 PDFBibTeX XMLCite \textit{Y. Chen} et al., Arch. Ration. Mech. Anal. 238, No. 3, 1521--1557 (2020; Zbl 1450.35028) Full Text: DOI arXiv
Dai, Zhenlei; Xu, Liguang; Ge, Shuzhi Sam Attracting sets of discrete-time Markovian jump delay systems with stochastic disturbances via impulsive control. (English) Zbl 1448.93313 J. Franklin Inst. 357, No. 14, 9781-9810 (2020). MSC: 93E03 93C27 93C55 93C43 PDFBibTeX XMLCite \textit{Z. Dai} et al., J. Franklin Inst. 357, No. 14, 9781--9810 (2020; Zbl 1448.93313) Full Text: DOI
Mahamat Hassan, Mahamat Hamit; Diop, Mamadou Abdoul; Kasinathan, Ramkumar; Kasinathan, Ravikumar Existence, global attracting sets and exponential decay of solution to stochastic functional integro-differential equations driven by Rosenblatt process. (English) Zbl 1474.60164 Electron. J. Math. Anal. Appl. 8, No. 2, 38-59 (2020). MSC: 60H15 PDFBibTeX XMLCite \textit{M. H. Mahamat Hassan} et al., Electron. J. Math. Anal. Appl. 8, No. 2, 38--59 (2020; Zbl 1474.60164) Full Text: Link
Narang, Aradhana; Shaiju, A. J. Globally strong uninvadable sets of profiles in asymmetric games. (English) Zbl 1444.91033 Int. Game Theory Rev. 22, No. 1, Article ID 1950014, 8 p. (2020). MSC: 91A22 34G20 PDFBibTeX XMLCite \textit{A. Narang} and \textit{A. J. Shaiju}, Int. Game Theory Rev. 22, No. 1, Article ID 1950014, 8 p. (2020; Zbl 1444.91033) Full Text: DOI
Cui, Hongyong; Kloeden, Peter E.; Yang, Meihua Forward omega limit sets of nonautonomous dynamical systems. (English) Zbl 1439.35056 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1103-1114 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{H. Cui} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1103--1114 (2020; Zbl 1439.35056) Full Text: DOI
Neamţu, Alexandra Random invariant manifolds for ill-posed stochastic evolution equations. (English) Zbl 1441.37088 Stoch. Dyn. 20, No. 2, Article ID 2050013, 31 p. (2020). Reviewer: Rodica Luca (Iaşi) MSC: 37L55 37L30 37L05 37L25 35R60 60H15 PDFBibTeX XMLCite \textit{A. Neamţu}, Stoch. Dyn. 20, No. 2, Article ID 2050013, 31 p. (2020; Zbl 1441.37088) Full Text: DOI
Cheng, Hongyu; de la Llave, Rafael Stable manifolds to bounded solutions in possibly ill-posed PDEs. (English) Zbl 1448.35564 J. Differ. Equations 268, No. 8, 4830-4899 (2020). MSC: 35R25 37L10 35Q56 34D35 37L25 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. de la Llave}, J. Differ. Equations 268, No. 8, 4830--4899 (2020; Zbl 1448.35564) Full Text: DOI
Liu, Gang; Ponnusamy, Saminathan Finite pairs of prescribed cycles of König’s and Steffensen’s methods for entire functions. (English) Zbl 1437.37055 J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020). Reviewer: Sanjib Kumar Datta (Kalyani) MSC: 37F10 30D05 30D15 30D20 37N30 65F10 PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020; Zbl 1437.37055) Full Text: DOI
Li, Fang; You, Bo Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping. (English) Zbl 1428.35050 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 55-80 (2020). MSC: 35B41 37C60 37L25 35Q30 76D05 PDFBibTeX XMLCite \textit{F. Li} and \textit{B. You}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 55--80 (2020; Zbl 1428.35050) Full Text: DOI
Anikushin, Mikhail Inertial manifolds and foliations for asymptotically compact cocycles in Banach spaces. arXiv:2012.03821 Preprint, arXiv:2012.03821 [math.DS] (2020). MSC: 35B42 37L25 37L45 37L15 BibTeX Cite \textit{M. Anikushin}, ``Inertial manifolds and foliations for asymptotically compact cocycles in Banach spaces'', Preprint, arXiv:2012.03821 [math.DS] (2020) Full Text: arXiv OA License
Hasan-Zadeh, Atefeh Exact inertial manifolds for dynamical systems. (English) Zbl 1524.76184 Adv. Differ. Equ. Control Process. 21, No. 1, 117-122 (2019). MSC: 76F20 37L25 76M60 PDFBibTeX XMLCite \textit{A. Hasan-Zadeh}, Adv. Differ. Equ. Control Process. 21, No. 1, 117--122 (2019; Zbl 1524.76184) Full Text: DOI
Ziessler, Adrian; Dellnitz, Michael; Gerlach, Raphael The numerical computation of unstable manifolds for infinite dimensional dynamical systems by embedding techniques. (English) Zbl 1435.37103 SIAM J. Appl. Dyn. Syst. 18, No. 3, 1265-1292 (2019). MSC: 37M21 35B42 37L25 PDFBibTeX XMLCite \textit{A. Ziessler} et al., SIAM J. Appl. Dyn. Syst. 18, No. 3, 1265--1292 (2019; Zbl 1435.37103) Full Text: DOI arXiv
Liu, Linfang; Caraballo, Tomás; Kloeden, Peter E. The asymptotic behaviour of fractional lattice systems with variable delay. (English) Zbl 1428.34116 Fract. Calc. Appl. Anal. 22, No. 3, 681-698 (2019). MSC: 34K37 34K31 34K25 47N20 PDFBibTeX XMLCite \textit{L. Liu} et al., Fract. Calc. Appl. Anal. 22, No. 3, 681--698 (2019; Zbl 1428.34116) Full Text: DOI Link
Drach, Kostiantyn; Mikulich, Yauhen; Rückert, Johannes; Schleicher, Dierk A combinatorial classification of postcritically fixed Newton maps. (English) Zbl 1431.37042 Ergodic Theory Dyn. Syst. 39, No. 11, 2983-3014 (2019). MSC: 37F20 37F10 PDFBibTeX XMLCite \textit{K. Drach} et al., Ergodic Theory Dyn. Syst. 39, No. 11, 2983--3014 (2019; Zbl 1431.37042) Full Text: DOI arXiv
Yuan, Shenglan; Hu, Jianyu; Liu, Xianming; Duan, Jinqiao Slow manifolds for dynamical systems with non-Gaussian stable Lévy noise. (English) Zbl 1417.37269 Anal. Appl., Singap. 17, No. 3, 477-511 (2019). MSC: 37L55 60H15 37L25 37H10 PDFBibTeX XMLCite \textit{S. Yuan} et al., Anal. Appl., Singap. 17, No. 3, 477--511 (2019; Zbl 1417.37269) Full Text: DOI arXiv
Szalai, Robert Model reduction of non-densely defined piecewise-smooth systems in Banach spaces. (English) Zbl 1501.37074 J. Nonlinear Sci. 29, No. 3, 897-960 (2019). MSC: 37L25 35B65 35Q70 47D06 PDFBibTeX XMLCite \textit{R. Szalai}, J. Nonlinear Sci. 29, No. 3, 897--960 (2019; Zbl 1501.37074) Full Text: DOI arXiv
Cardin, Franco; Favretti, Marco; Lovison, Alberto; Masci, Leonardo Stochastic and geometric aspects of reduced reaction-diffusion dynamics. (English) Zbl 1419.82029 Ric. Mat. 68, No. 1, 103-118 (2019). MSC: 82C05 60F10 37L25 35Q84 70H20 82C31 35K57 37B30 82C35 PDFBibTeX XMLCite \textit{F. Cardin} et al., Ric. Mat. 68, No. 1, 103--118 (2019; Zbl 1419.82029) Full Text: DOI
López-de-la-Cruz, Javier Random and stochastic disturbances on the input flow in chemostat models with wall growth. (English) Zbl 1416.92182 Stochastic Anal. Appl. 37, No. 4, 668-698 (2019). MSC: 92D40 92D25 60J60 60H10 PDFBibTeX XMLCite \textit{J. López-de-la-Cruz}, Stochastic Anal. Appl. 37, No. 4, 668--698 (2019; Zbl 1416.92182) Full Text: DOI Link
Tudoran, Răzvan M. Asymptotic bp-stabilization of a given closed invariant set of a smooth dynamical system. (English) Zbl 1447.37040 J. Differ. Equations 267, No. 6, 3768-3777 (2019). Reviewer: Liviu Goraş (Iaşi) MSC: 37C75 37C79 37C10 37M21 34C45 PDFBibTeX XMLCite \textit{R. M. Tudoran}, J. Differ. Equations 267, No. 6, 3768--3777 (2019; Zbl 1447.37040) Full Text: DOI arXiv
Lasiecka, I.; Ma, T. F.; Monteiro, R. N. Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation. (English) Zbl 1473.35061 Trans. Am. Math. Soc. 371, No. 11, 8051-8096 (2019). Reviewer: Bixiang Wang (Socorro) MSC: 35B41 74K20 74K25 74F05 35D30 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Trans. Am. Math. Soc. 371, No. 11, 8051--8096 (2019; Zbl 1473.35061) Full Text: DOI
Mohamad, Haidar; Oliver, Marcel A direct construction of a slow manifold for a semilinear wave equation of Klein-Gordon type. (English) Zbl 1415.35206 J. Differ. Equations 267, No. 1, 1-14 (2019). Reviewer: Denis Borisov (Ufa) MSC: 35L71 81Q05 35B25 35Q55 37L25 35B42 PDFBibTeX XMLCite \textit{H. Mohamad} and \textit{M. Oliver}, J. Differ. Equations 267, No. 1, 1--14 (2019; Zbl 1415.35206) Full Text: DOI
Naderifard, Azadeh; Hejazi, S. Reza; Dastranj, Elham; Motamednezhad, Ahmad Symmetry operators and exact solutions of a type of time-fractional Burgers-KdV equation. (English) Zbl 1407.76129 Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950032, 15 p. (2019). MSC: 76M60 35R11 35Q53 37K15 37L25 PDFBibTeX XMLCite \textit{A. Naderifard} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950032, 15 p. (2019; Zbl 1407.76129) Full Text: DOI
Beck, Margaret; Cooper, Eric; Spiliopoulos, Konstantinos Selection of quasi-stationary states in the Navier-Stokes equation on the torus. (English) Zbl 1406.35219 Nonlinearity 32, No. 1, 209-237 (2019). MSC: 35Q30 37L25 76D05 PDFBibTeX XMLCite \textit{M. Beck} et al., Nonlinearity 32, No. 1, 209--237 (2019; Zbl 1406.35219) Full Text: DOI arXiv
Chen, DeLiang The exponential dichotomy and invariant manifolds for some classes of differential equations. arXiv:1903.08040 Preprint, arXiv:1903.08040 [math.DS] (2019). MSC: 37D10 37L05 37L50 37L25 57R30 37D30 BibTeX Cite \textit{D. Chen}, ``The exponential dichotomy and invariant manifolds for some classes of differential equations'', Preprint, arXiv:1903.08040 [math.DS] (2019) Full Text: arXiv OA License
Xu, Liping; Luo, Jiaowan Global attractiveness and exponential decay of neutral stochastic functional differential equations driven by fBm with Hurst parameter less than 1/2. (English) Zbl 1409.60100 Front. Math. China 13, No. 6, 1469-1487 (2018). MSC: 60H15 PDFBibTeX XMLCite \textit{L. Xu} and \textit{J. Luo}, Front. Math. China 13, No. 6, 1469--1487 (2018; Zbl 1409.60100) Full Text: DOI
Zumbrun, Kevin Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers. (English) Zbl 1405.37087 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91547-0/hbk; 978-3-319-91548-7/ebook). Springer Proceedings in Mathematics & Statistics 237, 691-714 (2018). MSC: 37L15 37L10 37L25 35Q20 76P05 PDFBibTeX XMLCite \textit{K. Zumbrun}, Springer Proc. Math. Stat. 237, 691--714 (2018; Zbl 1405.37087) Full Text: DOI arXiv
Nguyen, Thieu Huy; Bui, Xuan-Quang Competition models with diffusion, analytic semigroups, and inertial manifolds. (English) Zbl 1405.35008 Math. Methods Appl. Sci. 41, No. 17, 8182-8200 (2018). MSC: 35B42 37L25 35K58 PDFBibTeX XMLCite \textit{T. H. Nguyen} and \textit{X.-Q. Bui}, Math. Methods Appl. Sci. 41, No. 17, 8182--8200 (2018; Zbl 1405.35008) Full Text: DOI
Daurat, Sandrine Hyberbolic saddle measures and laminarity for holomorphic endomorphisms of \(\mathbb{P}^2{\mathbb{C}}\). (English) Zbl 1414.32019 Indiana Univ. Math. J. 67, No. 3, 1185-1219 (2018). Reviewer: Xu Zhang (Weihai) MSC: 32H50 37F10 PDFBibTeX XMLCite \textit{S. Daurat}, Indiana Univ. Math. J. 67, No. 3, 1185--1219 (2018; Zbl 1414.32019) Full Text: DOI arXiv
Bates, Peter; Fusco, Giorgio; Karali, Georgia Gradient dynamics: motion near a manifold of quasi-equilibria. (English) Zbl 1409.37076 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2106-2145 (2018). Reviewer: Ahmed Youssfi (Fès) MSC: 37L25 35A15 35K58 35B40 PDFBibTeX XMLCite \textit{P. Bates} et al., SIAM J. Appl. Dyn. Syst. 17, No. 3, 2106--2145 (2018; Zbl 1409.37076) Full Text: DOI
Kogelbauer, Florian; Haller, George Rigorous model reduction for a damped-forced nonlinear beam model: an infinite-dimensional analysis. (English) Zbl 1402.35279 J. Nonlinear Sci. 28, No. 3, 1109-1150 (2018). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 37L10 37L25 74K10 74H45 74B20 35A01 PDFBibTeX XMLCite \textit{F. Kogelbauer} and \textit{G. Haller}, J. Nonlinear Sci. 28, No. 3, 1109--1150 (2018; Zbl 1402.35279) Full Text: DOI arXiv
Vakulenko, Sergey Complex attractors and patterns in reaction-diffusion systems. (English) Zbl 1406.35051 J. Dyn. Differ. Equations 30, No. 1, 175-207 (2018). Reviewer: Anna Ghazaryan (Oxford, OH) MSC: 35B36 37L25 35K57 35K55 35B40 35B42 35B30 35B41 35B25 PDFBibTeX XMLCite \textit{S. Vakulenko}, J. Dyn. Differ. Equations 30, No. 1, 175--207 (2018; Zbl 1406.35051) Full Text: DOI
Li, Zhi; Yan, Litan; Zhou, Xianghui Global attracting sets and stability of neutral stochastic functional differential equations driven by Rosenblatt process. (English) Zbl 1390.60241 Front. Math. China 13, No. 1, 87-105 (2018). MSC: 60H15 PDFBibTeX XMLCite \textit{Z. Li} et al., Front. Math. China 13, No. 1, 87--105 (2018; Zbl 1390.60241) Full Text: DOI
Liu, Gang; Ponnusamy, Saminathan Prescribed cycles of König’s method for polynomials. (English) Zbl 1382.37045 J. Comput. Appl. Math. 336, 468-476 (2018). MSC: 37F10 37F45 65F10 65H04 PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Comput. Appl. Math. 336, 468--476 (2018; Zbl 1382.37045) Full Text: DOI