Brunovský, Pavel; Joly, Romain; Raugel, Geneviève Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations. (English) Zbl 1501.35244 J. Dyn. Differ. Equations 34, No. 4, 2639-2679 (2022). MSC: 35K57 35B10 35B30 35B40 37D05 37D15 37L45 PDFBibTeX XMLCite \textit{P. Brunovský} et al., J. Dyn. Differ. Equations 34, No. 4, 2639--2679 (2022; Zbl 1501.35244) Full Text: DOI arXiv
Chen, Mo Center manifold for the third-order nonlinear Schrödinger equation with critical lengths. (English) Zbl 1492.35253 Acta Appl. Math. 180, Paper No. 16, 26 p. (2022). MSC: 35Q53 35A01 PDFBibTeX XMLCite \textit{M. Chen}, Acta Appl. Math. 180, Paper No. 16, 26 p. (2022; Zbl 1492.35253) Full Text: DOI
Poignard, Camille Self-induced synchronization by large delay. (English) Zbl 1493.37031 J. Differ. Equations 310, 555-601 (2022). Reviewer: Serhiy Yanchuk (Berlin) MSC: 37D10 34K19 34K35 PDFBibTeX XMLCite \textit{C. Poignard}, J. Differ. Equations 310, 555--601 (2022; Zbl 1493.37031) Full Text: DOI HAL
Chen, Deliang Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case. (English) Zbl 1464.37039 Diss. Math. 555, 1-176 (2020). MSC: 37D10 37D30 57R30 58B20 55R65 PDFBibTeX XMLCite \textit{D. Chen}, Diss. Math. 555, 1--176 (2020; Zbl 1464.37039) Full Text: DOI arXiv
Panasenko, E. V.; Pokutnyi, O. O. Nonlinear boundary-value problems for the Lyapunov equation in the space \(L_p\). (English. Ukrainian original) Zbl 1505.34094 J. Math. Sci., New York 246, No. 3, 394-409 (2020); translation from Neliniĭni Kolyvannya 21, No. 4, 523-536 (2018). Reviewer: Arzu Ahmadova (Essen) MSC: 34G10 34B10 34B27 34A45 PDFBibTeX XMLCite \textit{E. V. Panasenko} and \textit{O. O. Pokutnyi}, J. Math. Sci., New York 246, No. 3, 394--409 (2020; Zbl 1505.34094); translation from Neliniĭni Kolyvannya 21, No. 4, 523--536 (2018) Full Text: DOI
Dragičević, Davor; Zhang, Weinian; Zhang, Wenmeng Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy. (English) Zbl 1428.37021 Math. Z. 292, No. 3-4, 1175-1193 (2019). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 37C60 37D25 39A12 PDFBibTeX XMLCite \textit{D. Dragičević} et al., Math. Z. 292, No. 3--4, 1175--1193 (2019; Zbl 1428.37021) Full Text: DOI arXiv
Duoc, Trinh Viet; Huy, Nguyen Thieu Stable and center-stable manifolds of admissible classes for partial functional differential equations. (English) Zbl 1404.34081 J. Integral Equations Appl. 30, No. 4, 543-575 (2018). MSC: 34K19 34K25 34K30 35R10 PDFBibTeX XMLCite \textit{T. V. Duoc} and \textit{N. T. Huy}, J. Integral Equations Appl. 30, No. 4, 543--575 (2018; Zbl 1404.34081) Full Text: DOI Euclid
Latushkin, Yuri; Schnaubelt, Roland; Yang, Xinyao Stable foliations near a traveling front for reaction diffusion systems. (English) Zbl 1365.35009 Discrete Contin. Dyn. Syst., Ser. B 22, No. 8, 3145-3165 (2017). MSC: 35B35 35C07 34C45 PDFBibTeX XMLCite \textit{Y. Latushkin} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 8, 3145--3165 (2017; Zbl 1365.35009) Full Text: DOI arXiv
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian Differentiability of the conjugacy in the Hartman-Grobman theorem. (English) Zbl 1362.37053 Trans. Am. Math. Soc. 369, No. 7, 4995-5030 (2017). MSC: 37C15 37C05 37L30 PDFBibTeX XMLCite \textit{W. Zhang} et al., Trans. Am. Math. Soc. 369, No. 7, 4995--5030 (2017; Zbl 1362.37053) Full Text: DOI
Zhang, Wenmeng; Zhang, Weinian On invariant manifolds and invariant foliations without a spectral gap. (English) Zbl 1366.37069 Adv. Math. 303, 549-610 (2016). MSC: 37D10 37C75 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{W. Zhang}, Adv. Math. 303, 549--610 (2016; Zbl 1366.37069) Full Text: DOI
Zhang, Wenmeng; Zhang, Weinian \(\alpha\)-Hölder linearization of hyperbolic diffeomorphisms with resonance. (English) Zbl 1354.37030 Ergodic Theory Dyn. Syst. 36, No. 1, 310-334 (2016). MSC: 37C15 37D20 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{W. Zhang}, Ergodic Theory Dyn. Syst. 36, No. 1, 310--334 (2016; Zbl 1354.37030) Full Text: DOI
Guo, Zhongkai Invariant foliations for stochastic partial differential equations with dynamic boundary conditions. (English) Zbl 1334.60110 Discrete Contin. Dyn. Syst. 35, No. 11, 5203-5219 (2015). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{Z. Guo}, Discrete Contin. Dyn. Syst. 35, No. 11, 5203--5219 (2015; Zbl 1334.60110) Full Text: DOI arXiv
Beck, Margaret; Chaudhary, Osman; Wayne, C. Eugene Analysis of enhanced diffusion in Taylor dispersion via a model problem. (English) Zbl 1331.35270 Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 31-71 (2015). MSC: 35Q35 PDFBibTeX XMLCite \textit{M. Beck} et al., Fields Inst. Commun. 75, 31--71 (2015; Zbl 1331.35270) Full Text: DOI arXiv
Chu, Jixun; Coron, Jean-Michel; Shang, Peipei Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. (English) Zbl 1320.35307 J. Differ. Equations 259, No. 8, 4045-4085 (2015). MSC: 35Q53 35B35 35B40 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Differ. Equations 259, No. 8, 4045--4085 (2015; Zbl 1320.35307) Full Text: DOI arXiv
Chiba, Hayato A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model. (English) Zbl 1322.37036 Ergodic Theory Dyn. Syst. 35, No. 3, 762-834 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37C50 37J10 PDFBibTeX XMLCite \textit{H. Chiba}, Ergodic Theory Dyn. Syst. 35, No. 3, 762--834 (2015; Zbl 1322.37036) Full Text: DOI arXiv
Chen, Guanggan; Duan, Jinqiao; Zhang, Jian Slow foliation of a slow-fast stochastic evolutionary system. (English) Zbl 1345.35142 J. Funct. Anal. 267, No. 8, 2663-2697 (2014). MSC: 35R60 37L55 37L25 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Funct. Anal. 267, No. 8, 2663--2697 (2014; Zbl 1345.35142) Full Text: DOI arXiv
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. (English) Zbl 1295.35253 J. Dyn. Differ. Equations 26, No. 2, 243-266 (2014). MSC: 35K51 35B35 35B40 35K61 37L10 35K59 PDFBibTeX XMLCite \textit{R. Johnson} et al., J. Dyn. Differ. Equations 26, No. 2, 243--266 (2014; Zbl 1295.35253) Full Text: DOI
Zhang, Wenmeng; Zhang, Weinian; Jarczyk, Witold Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms. (English) Zbl 1288.37026 Math. Ann. 358, No. 1-2, 69-113 (2014). Reviewer: Lutz Recke (Berlin) MSC: 37L10 PDFBibTeX XMLCite \textit{W. Zhang} et al., Math. Ann. 358, No. 1--2, 69--113 (2014; Zbl 1288.37026) Full Text: DOI arXiv
ElBialy, Mohamed Sami Stable and unstable manifolds for hyperbolic bi-semigroups. (English) Zbl 1266.37039 J. Funct. Anal. 262, No. 5, 2516-2560 (2012). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37L05 47D06 PDFBibTeX XMLCite \textit{M. S. ElBialy}, J. Funct. Anal. 262, No. 5, 2516--2560 (2012; Zbl 1266.37039) Full Text: DOI
Chapuisat, Guillemette; Joly, Romain Asymptotic profiles for a traveling front solution of a biological equation. (English) Zbl 1252.35061 Math. Models Methods Appl. Sci. 21, No. 10, 2155-2177 (2011). Reviewer: Mersaid Aripov (Tashkent) MSC: 35B40 35K15 35K58 35C07 35B35 35K57 92C20 PDFBibTeX XMLCite \textit{G. Chapuisat} and \textit{R. Joly}, Math. Models Methods Appl. Sci. 21, No. 10, 2155--2177 (2011; Zbl 1252.35061) Full Text: DOI arXiv
González, María del Mar; Gualdani, Maria Pia Asymptotics for a free boundary model in price formation. (English) Zbl 1215.35173 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3269-3294 (2011). MSC: 35R35 35K15 91B24 91B52 35B40 PDFBibTeX XMLCite \textit{M. d. M. González} and \textit{M. P. Gualdani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3269--3294 (2011; Zbl 1215.35173) Full Text: DOI arXiv
de la Llave, Rafael A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities. (English) Zbl 1179.35340 J. Dyn. Differ. Equations 21, No. 3, 371-415 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 35R25 PDFBibTeX XMLCite \textit{R. de la Llave}, J. Dyn. Differ. Equations 21, No. 3, 371--415 (2009; Zbl 1179.35340) Full Text: DOI
Beck, Margaret; Wayne, C. Eugene Invariant manifolds and the stability of traveling waves in scalar viscous conservation laws. (English) Zbl 1145.35081 J. Differ. Equations 244, No. 1, 87-116 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L65 35B40 37L25 PDFBibTeX XMLCite \textit{M. Beck} and \textit{C. E. Wayne}, J. Differ. Equations 244, No. 1, 87--116 (2008; Zbl 1145.35081) Full Text: DOI
Pötzsche, Christian Attractive invariant fiber bundles. (English) Zbl 1127.37023 Appl. Anal. 86, No. 6, 687-722 (2007). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37B55 39A14 37D10 65Q05 PDFBibTeX XMLCite \textit{C. Pötzsche}, Appl. Anal. 86, No. 6, 687--722 (2007; Zbl 1127.37023) Full Text: DOI
Farkas, Gyula On discretizations of invariant foliations over inertial manifolds. (English) Zbl 1162.37333 J. Math. Anal. Appl. 301, No. 1, 84-98 (2005). MSC: 37L25 35B42 37D10 37M99 65P10 PDFBibTeX XMLCite \textit{G. Farkas}, J. Math. Anal. Appl. 301, No. 1, 84--98 (2005; Zbl 1162.37333) Full Text: DOI
Qin, Wen-Xin; Chen, Guanrong Coupling schemes for cluster synchronization in coupled Josephson equations. (English) Zbl 1066.34046 Physica D 197, No. 3-4, 375-391 (2004). Reviewer: Sergiy Yanchuk (Berlin) MSC: 34D05 34C15 34C30 34C60 PDFBibTeX XMLCite \textit{W.-X. Qin} and \textit{G. Chen}, Physica D 197, No. 3--4, 375--391 (2004; Zbl 1066.34046) Full Text: DOI
Van Minh, Nguyen; Wu, Jianhong Invariant manifolds of partial functional differential equations. (English) Zbl 1061.34056 J. Differ. Equations 198, No. 2, 381-421 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34K19 35K30 35R10 34G20 37L10 PDFBibTeX XMLCite \textit{N. Van Minh} and \textit{J. Wu}, J. Differ. Equations 198, No. 2, 381--421 (2004; Zbl 1061.34056) Full Text: DOI
Hale, Jack K.; Raugel, Geneviève Regularity, determining modes and Galerkin methods. (English) Zbl 1043.35048 J. Math. Pures Appl., IX. Sér. 82, No. 9, 1075-1136 (2003). MSC: 35D10 35B40 37L25 35L70 35Q55 65M60 PDFBibTeX XMLCite \textit{J. K. Hale} and \textit{G. Raugel}, J. Math. Pures Appl. (9) 82, No. 9, 1075--1136 (2003; Zbl 1043.35048) Full Text: DOI
Poláčik, P.; Simondon, F. Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains. (English) Zbl 1024.35046 J. Differ. Equations 186, No. 2, 586-610 (2002). Reviewer: Serguei Zelik (Chasseneuil Futuroscope) MSC: 35K57 37L10 PDFBibTeX XMLCite \textit{P. Poláčik} and \textit{F. Simondon}, J. Differ. Equations 186, No. 2, 586--610 (2002; Zbl 1024.35046) Full Text: DOI
Kobayasi, Kazuo An \(L^p\) theory of invariant manifolds for parabolic partial differential equations on \(\mathbb{R}^d\). (English) Zbl 0996.35030 J. Differ. Equations 179, No. 1, 195-212 (2002). Reviewer: Lubomira Softova (Bari) MSC: 35K55 37L25 35K15 35B40 PDFBibTeX XMLCite \textit{K. Kobayasi}, J. Differ. Equations 179, No. 1, 195--212 (2002; Zbl 0996.35030) Full Text: DOI
Qin, Wen-Xin Generalized synchronization, frequency-locking and phase-locking of coupled sine circle maps. (English) Zbl 1091.37516 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 8, 2245-2253 (2001). MSC: 37L60 37E10 37E45 PDFBibTeX XMLCite \textit{W.-X. Qin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 8, 2245--2253 (2001; Zbl 1091.37516) Full Text: DOI
Shen, Wenxian Dynamical systems and traveling waves in almost periodic structures. (English) Zbl 0980.35020 J. Differ. Equations 169, No. 2, 493-548 (2001). Reviewer: Jens Rademacher (Berlin) MSC: 35B15 35K57 37L15 PDFBibTeX XMLCite \textit{W. Shen}, J. Differ. Equations 169, No. 2, 493--548 (2001; Zbl 0980.35020) Full Text: DOI
Pliss, Victor A.; Sell, George R. Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. (English) Zbl 0998.34038 J. Differ. Equations 169, No. 2, 396-492 (2001). Reviewer: Norbert Koksch (Dresden) MSC: 34C30 35Q30 34G20 37C20 37D05 34C28 37L45 37L65 37N20 76D05 PDFBibTeX XMLCite \textit{V. A. Pliss} and \textit{G. R. Sell}, J. Differ. Equations 169, No. 2, 396--492 (2001; Zbl 0998.34038) Full Text: DOI
Zhang, Weinian; Wu, Jiongyu Homoclinic orbits on invariant manifolds of a functional differential equation. (English) Zbl 0967.34065 J. Differ. Equations 165, No. 2, 414-429 (2000). Reviewer: V.Petrov (Plovdiv) MSC: 34K19 34C30 34K12 34D09 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Wu}, J. Differ. Equations 165, No. 2, 414--429 (2000; Zbl 0967.34065) Full Text: DOI
Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei Center manifolds for smooth invariant manifolds. (English) Zbl 0953.34038 Trans. Am. Math. Soc. 352, No. 11, 5179-5211 (2000). MSC: 34C45 37D10 34C30 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., Trans. Am. Math. Soc. 352, No. 11, 5179--5211 (2000; Zbl 0953.34038) Full Text: DOI
Bates, Peter W.; Lu, Kening; Zeng, Chongchun Invariant foliations near normally hyperbolic invariant manifolds for semiflows. (English) Zbl 0964.37018 Trans. Am. Math. Soc. 352, No. 10, 4641-4676 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37D10 34G20 37L45 53C12 PDFBibTeX XMLCite \textit{P. W. Bates} et al., Trans. Am. Math. Soc. 352, No. 10, 4641--4676 (2000; Zbl 0964.37018) Full Text: DOI
Tan, Bin \(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\). (English) Zbl 0978.37012 J. Differ. Equations 162, No. 2, 251-269 (2000). Reviewer: Serguei Zelik (Moskva) MSC: 37C15 34C20 PDFBibTeX XMLCite \textit{B. Tan}, J. Differ. Equations 162, No. 2, 251--269 (2000; Zbl 0978.37012) Full Text: DOI
Cònsul, N.; Solà-Morales, J. Stability of local minima and stable nonconstant equilibria. (English) Zbl 0940.35031 J. Differ. Equations 157, No. 1, 61-81 (1999). Reviewer: Michael I.Gil’ (Beer-Sheva) MSC: 35B35 47J35 PDFBibTeX XMLCite \textit{N. Cònsul} and \textit{J. Solà-Morales}, J. Differ. Equations 157, No. 1, 61--81 (1999; Zbl 0940.35031) Full Text: DOI Link
Poláčik, Peter Persistent saddle connections in a class of reaction-diffusion equations. (English) Zbl 0936.35097 J. Differ. Equations 156, No. 1, 182-210 (1999). Reviewer: A.Cichocka (Katowice) MSC: 35K60 37D15 PDFBibTeX XMLCite \textit{P. Poláčik}, J. Differ. Equations 156, No. 1, 182--210 (1999; Zbl 0936.35097) Full Text: DOI