Ding, Qianming; Wu, Yong; Yu, Dong; Li, Tianyu; Jia, Ya Inter-layer propagation of spiral waves: effects of time-varying defect blocks and magnetic flows. (English) Zbl 07763996 Phys. Lett., A 489, Article ID 129154, 17 p. (2023). MSC: 81P15 26A12 78A40 37C10 78A48 35C07 PDFBibTeX XMLCite \textit{Q. Ding} et al., Phys. Lett., A 489, Article ID 129154, 17 p. (2023; Zbl 07763996) Full Text: DOI
Xia, Baoqiang Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions. (English) Zbl 1520.37053 Physica D 450, Article ID 133769, 12 p. (2023). MSC: 37K10 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Xia}, Physica D 450, Article ID 133769, 12 p. (2023; Zbl 1520.37053) Full Text: DOI
Mohammadi, M.; Momeni, E. Scattering of kinks in the \(B\varphi^4\) model. (English) Zbl 1508.35111 Chaos Solitons Fractals 165, Part 2, Article ID 112834, 18 p. (2022). MSC: 35Q51 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{M. Mohammadi} and \textit{E. Momeni}, Chaos Solitons Fractals 165, Part 2, Article ID 112834, 18 p. (2022; Zbl 1508.35111) Full Text: DOI arXiv
Xia, Baoqiang A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation. (English) Zbl 1498.37106 J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022). MSC: 37K10 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Xia}, J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022; Zbl 1498.37106) Full Text: DOI arXiv
Motta, Francis C.; Shipman, Patrick D. Informing the structure of complex Hadamard matrix spaces using a flow. (English) Zbl 1439.37035 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2349-2364 (2019). MSC: 37D10 37C75 15B34 PDFBibTeX XMLCite \textit{F. C. Motta} and \textit{P. D. Shipman}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2349--2364 (2019; Zbl 1439.37035) Full Text: DOI arXiv
Abounouh, Mostafa; Al Moatassime, Hassan; Chrifi, Abderrazak Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line. (English) Zbl 1444.35134 Adv. Difference Equ. 2017, Paper No. 137, 24 p. (2017). MSC: 35Q55 35B41 37L30 PDFBibTeX XMLCite \textit{M. Abounouh} et al., Adv. Difference Equ. 2017, Paper No. 137, 24 p. (2017; Zbl 1444.35134) Full Text: DOI
Corrigan, E.; Parini, R. Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models. (English) Zbl 1372.37115 J. Phys. A, Math. Theor. 50, No. 28, Article ID 284001, 41 p. (2017). Reviewer: Piotr Biler (Wrocław) MSC: 37K10 35Q53 35Q55 PDFBibTeX XMLCite \textit{E. Corrigan} and \textit{R. Parini}, J. Phys. A, Math. Theor. 50, No. 28, Article ID 284001, 41 p. (2017; Zbl 1372.37115) Full Text: DOI arXiv Link
Caudrelier, Vincent Multisymplectic approach to integrable defects in the sine-Gordon model. (English) Zbl 1321.35195 J. Phys. A, Math. Theor. 48, No. 19, Article ID 195203, 23 p. (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37J35 81Q05 81R12 PDFBibTeX XMLCite \textit{V. Caudrelier}, J. Phys. A, Math. Theor. 48, No. 19, Article ID 195203, 23 p. (2015; Zbl 1321.35195) Full Text: DOI arXiv Link
Robertson, Craig Defect fusing rules in affine Toda field theory. (English) Zbl 1308.37035 J. Phys. A, Math. Theor. 47, No. 48, Article ID 485205, 16 p. (2014). MSC: 37K10 37K40 PDFBibTeX XMLCite \textit{C. Robertson}, J. Phys. A, Math. Theor. 47, No. 48, Article ID 485205, 16 p. (2014; Zbl 1308.37035) Full Text: DOI arXiv
Sun, Huaqing; Shi, Yuming; Jian, Wenwen \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems. (English) Zbl 1417.34205 Linear Algebra Appl. 462, 204-232 (2014). MSC: 34L05 34B40 47E05 37J45 PDFBibTeX XMLCite \textit{H. Sun} et al., Linear Algebra Appl. 462, 204--232 (2014; Zbl 1417.34205) Full Text: DOI
Ren, Guojing; Shi, Yuming Self-adjoint extensions for discrete linear Hamiltonian systems. (English) Zbl 1291.39018 Linear Algebra Appl. 454, 1-48 (2014). MSC: 39A12 39A70 37J05 PDFBibTeX XMLCite \textit{G. Ren} and \textit{Y. Shi}, Linear Algebra Appl. 454, 1--48 (2014; Zbl 1291.39018) Full Text: DOI
Robertson, Craig Folding defect affine Toda field theories. (English) Zbl 1341.37048 J. Phys. A, Math. Theor. 47, No. 18, Article ID 185201, 17 p. (2014). MSC: 37K40 37K10 81R12 81T10 PDFBibTeX XMLCite \textit{C. Robertson}, J. Phys. A, Math. Theor. 47, No. 18, Article ID 185201, 17 p. (2014; Zbl 1341.37048) Full Text: DOI arXiv
Ushakov, V. N.; Zimovets, A. A. Invariance defect of sets with respect to differential inclusion. (Russian. English summary) Zbl 1299.49019 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 2011, No. 2, 98-111 (2011). MSC: 49K15 37N35 34A60 34H05 PDFBibTeX XMLCite \textit{V. N. Ushakov} and \textit{A. A. Zimovets}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 2011, No. 2, 98--111 (2011; Zbl 1299.49019) Full Text: DOI MNR
Ren, Guojing; Shi, Yuming Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems. (English) Zbl 1256.39004 Appl. Math. Comput. 218, No. 7, 3414-3429 (2011). Reviewer: Yuming Chen (Waterloo) MSC: 39A12 39A06 37J05 PDFBibTeX XMLCite \textit{G. Ren} and \textit{Y. Shi}, Appl. Math. Comput. 218, No. 7, 3414--3429 (2011; Zbl 1256.39004) Full Text: DOI
Houghton, S. M.; Knobloch, E.; Tobias, S. M.; Proctor, M. R. E. Transient spatio-temporal chaos in the complex Ginzburg-Landau equation on long domains. (English) Zbl 1236.35178 Phys. Lett., A 374, No. 19-20, 2030-2034 (2010). MSC: 35Q56 37D45 PDFBibTeX XMLCite \textit{S. M. Houghton} et al., Phys. Lett., A 374, No. 19--20, 2030--2034 (2010; Zbl 1236.35178) Full Text: DOI
Sun, Huaqing; Shi, Yuming Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints. (English) Zbl 1202.47012 J. Funct. Anal. 259, No. 8, 2003-2027 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 47A48 47B25 37J99 PDFBibTeX XMLCite \textit{H. Sun} and \textit{Y. Shi}, J. Funct. Anal. 259, No. 8, 2003--2027 (2010; Zbl 1202.47012) Full Text: DOI
Sun, Huaqing On the limit-point case of singular linear Hamiltonian systems. (English) Zbl 1194.34037 Appl. Anal. 89, No. 5, 663-675 (2010). MSC: 34B20 34A30 34D05 37J99 PDFBibTeX XMLCite \textit{H. Sun}, Appl. Anal. 89, No. 5, 663--675 (2010; Zbl 1194.34037) Full Text: DOI
Corrigan, E.; Zambon, C. A new class of integrable defects. (English) Zbl 1184.35275 J. Phys. A, Math. Theor. 42, No. 47, Article ID 475203, 20 p. (2009). MSC: 35Q53 37K05 37K10 37K35 35A30 PDFBibTeX XMLCite \textit{E. Corrigan} and \textit{C. Zambon}, J. Phys. A, Math. Theor. 42, No. 47, Article ID 475203, 20 p. (2009; Zbl 1184.35275) Full Text: DOI arXiv
Kang, Xiaosong; Ren, Xiaofeng Ring pattern solutions of a free boundary problem in diblock copolymer morphology. (English) Zbl 1160.37386 Physica D 238, No. 6, 645-665 (2009). MSC: 37J40 37M05 82D60 PDFBibTeX XMLCite \textit{X. Kang} and \textit{X. Ren}, Physica D 238, No. 6, 645--665 (2009; Zbl 1160.37386) Full Text: DOI
Sakaguchi, Hidetsugu; Matsuda, Akira Chevron patterns and defect lattices in an anisotropic model for electroconvection. (English) Zbl 1153.82350 Physica D 238, No. 1, 1-8 (2009). MSC: 82D25 76W05 82C20 35K55 76E25 37K50 37K45 PDFBibTeX XMLCite \textit{H. Sakaguchi} and \textit{A. Matsuda}, Physica D 238, No. 1, 1--8 (2009; Zbl 1153.82350) Full Text: DOI
Yang, Hujiang; Yang, Junzhong; Hu, Gang The boundary-induced spiral wave drift in the complex Ginzburg-Landau equation. (English) Zbl 1203.81070 Phys. Lett., A 365, No. 3, 204-209 (2007). MSC: 81Q05 35Q56 37D45 PDFBibTeX XMLCite \textit{H. Yang} et al., Phys. Lett., A 365, No. 3, 204--209 (2007; Zbl 1203.81070) Full Text: DOI
Sun, Huaqing; Shi, Yuming Strong limit point criteria for a class of singular discrete linear Hamiltonian systems. (English) Zbl 1132.39014 J. Math. Anal. Appl. 336, No. 1, 224-242 (2007). Reviewer: Martin Rasmussen (Augsburg) MSC: 39A12 37J05 PDFBibTeX XMLCite \textit{H. Sun} and \textit{Y. Shi}, J. Math. Anal. Appl. 336, No. 1, 224--242 (2007; Zbl 1132.39014) Full Text: DOI
Pivato, Marcus Algebraic invariants for crystallographic defects in cellular automata. (English) Zbl 1129.37007 Ergodic Theory Dyn. Syst. 27, No. 1, 199-240 (2007). Reviewer: Vladimir Răsvan (Craiova) MSC: 37B15 37B10 37B50 68Q80 PDFBibTeX XMLCite \textit{M. Pivato}, Ergodic Theory Dyn. Syst. 27, No. 1, 199--240 (2007; Zbl 1129.37007) Full Text: DOI arXiv
Okuyama, Yûsuke Vanishing theorem on the pointwise defect of a rational iteration sequence for moving targets. (English) Zbl 1118.30021 Aikawa, Hiroaki (ed.) et al., Potential theory in Matsue. Selected papers of the international workshop on potential theory, Matsue, Japan, August 23–28, 2004. Tokyo: Mathematical Society of Japan (ISBN 4-931469-33-7/hbk). Advanced Studies in Pure Mathematics 44, 319-325 (2006). Reviewer: Delfina Roux (Milano) MSC: 30D05 37F10 39B32 PDFBibTeX XMLCite \textit{Y. Okuyama}, Adv. Stud. Pure Math. 44, 319--325 (2006; Zbl 1118.30021)
Hofstätter, Harald; Koch, Othmar Analysis of a defect correction method for geometric integrators. (English) Zbl 1099.65058 Numer. Algorithms 41, No. 2, 103-126 (2006). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65P10 65L70 34A34 37M15 PDFBibTeX XMLCite \textit{H. Hofstätter} and \textit{O. Koch}, Numer. Algorithms 41, No. 2, 103--126 (2006; Zbl 1099.65058) Full Text: DOI
Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. Numerical continuation of branch points of equilibria and periodic orbits. (English) Zbl 1081.37054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 841-860 (2005). MSC: 37M20 37C27 34C05 37N99 37G40 PDFBibTeX XMLCite \textit{E. J. Doedel} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 841--860 (2005; Zbl 1081.37054) Full Text: DOI
Kramer, Peter Group actions on compact hyperbolic manifolds and closed geodesics. (English) Zbl 1079.57014 Winternitz, P. (ed.) et al., Symmetry in physics. In memory of Robert T. Sharp. Proceedings of the workshop symmetries in physics, Montréal, Canada, September 12–14, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3409-6/pbk). CRM Proceedings & Lecture Notes 34, 113-124 (2004). MSC: 57M50 57S25 83F05 37C85 PDFBibTeX XMLCite \textit{P. Kramer}, CRM Proc. Lect. Notes 34, 113--124 (2004; Zbl 1079.57014)
Shi, Yuming On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. (English) Zbl 1047.37041 Linear Algebra Appl. 376, 109-123 (2004). Reviewer: Jan Andres (Olomouc) MSC: 37J35 34B05 34B20 PDFBibTeX XMLCite \textit{Y. Shi}, Linear Algebra Appl. 376, 109--123 (2004; Zbl 1047.37041) Full Text: DOI
Thomsen, Klaus The defect of factor maps and finite equivalence of dynamical systems. (English) Zbl 1050.37005 Bezuglyi, S. (ed.) et al., Topics in dynamics and ergodic theory. Survey papers and mini-courses presented at the international conference and US-Ukrainian workshop on dynamical systems and ergodic theory, Katsiveli, Ukraine, August 21–30, 2000. Cambridge: Cambridge University Press (ISBN 0-521-53365-1/pbk). Lond. Math. Soc. Lect. Note Ser. 310, 190-225 (2003). Reviewer: Katarina Janková (Bratislava) MSC: 37B10 54H20 PDFBibTeX XMLCite \textit{K. Thomsen}, Lond. Math. Soc. Lect. Note Ser. 310, 190--225 (2003; Zbl 1050.37005)
del-Castillo-Negrete, Diego Self-consistent chaotic transport in fluids and plasmas. (English) Zbl 0990.76086 Chaos 10, No. 1, 75-88 (2000). MSC: 76R99 76X05 76F25 37N10 PDFBibTeX XMLCite \textit{D. del-Castillo-Negrete}, Chaos 10, No. 1, 75--88 (2000; Zbl 0990.76086) Full Text: DOI
Thomsen, Klaus The variational principle for the defect of factor maps. (English) Zbl 0988.37019 Isr. J. Math. 110, 359-369 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37B99 37B40 54H20 PDFBibTeX XMLCite \textit{K. Thomsen}, Isr. J. Math. 110, 359--369 (1999; Zbl 0988.37019) Full Text: DOI
Rossberg, A. G.; Kramer, L. Pattern formation from defect chaos – a theory of chevrons. (English) Zbl 0962.76509 Physica D 115, No. 1-2, 19-28 (1998). MSC: 76A15 76E06 76E25 37N10 PDFBibTeX XMLCite \textit{A. G. Rossberg} and \textit{L. Kramer}, Physica D 115, No. 1--2, 19--28 (1998; Zbl 0962.76509) Full Text: DOI arXiv
Hu, Pei-Chu Value distribution theory and complex dynamics. (English) Zbl 0918.32008 Bull. Hong Kong Math. Soc. 1, No. 1, 169-172 (1997). Reviewer: A.F.Grishin (Khar’kov) MSC: 32H30 37F99 32H50 PDFBibTeX XMLCite \textit{P.-C. Hu}, Bull. Hong Kong Math. Soc. 1, No. 1, 169--172 (1997; Zbl 0918.32008)
Thomsen, Klaus The defect of factor maps. (English) Zbl 0937.37004 Ergodic Theory Dyn. Syst. 17, No. 5, 1233-1256 (1997). Reviewer: Tomasz Nowicki (Warszawa) MSC: 37B50 37A20 37C55 PDFBibTeX XMLCite \textit{K. Thomsen}, Ergodic Theory Dyn. Syst. 17, No. 5, 1233--1256 (1997; Zbl 0937.37004) Full Text: DOI
Serebryakov, V. P. Conditions of quasi-regularity of a system of differential equations of second order with oscillating coefficients. (English. Russian original) Zbl 0854.34007 Russ. Math. 39, No. 3, 43-48 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 3(394), 45-50 (1995). Reviewer: Yu.V.Rogovchenko (Kiev) MSC: 34A30 34L05 47E05 37A30 PDFBibTeX XMLCite \textit{V. P. Serebryakov}, Russ. Math. 39, No. 3, 45--50 (1995; Zbl 0854.34007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 3(394), 45--50 (1995)
Eloranta, Kari The dynamics of defect ensembles in one-dimensional cellular automata. (English) Zbl 0837.60092 J. Stat. Phys. 76, No. 5-6, 1377-1398 (1994). MSC: 37B15 68Q80 60K40 82B41 PDFBibTeX XMLCite \textit{K. Eloranta}, J. Stat. Phys. 76, No. 5--6, 1377--1398 (1994; Zbl 0837.60092) Full Text: DOI
Corless, Robert M. Error backward. (English) Zbl 0809.65090 Kloeden, Peter E. (ed.) et al., Chaotic numerics. An international workshop on the approximation and computation of complicated dynamical behavior, July 12-16, 1993, Deakin Univ., Geelong, Australia. Providence, RI: American Mathematical Society. Contemp. Math. 172, 31-62 (1994). Reviewer: Yu.Kifer (Jerusalem) MSC: 65L70 37D45 34D30 65L05 PDFBibTeX XMLCite \textit{R. M. Corless}, Contemp. Math. 172, 31--62 (1994; Zbl 0809.65090)
Corless, Robert M. Defect-controlled numerical methods and shadowing for chaotic differential equations. (English) Zbl 0779.34035 Physica D 60, No. 1-4, 323-334 (1992). MSC: 37-XX 65J99 65L50 65L70 PDFBibTeX XMLCite \textit{R. M. Corless}, Physica D 60, No. 1--4, 323--334 (1992; Zbl 0779.34035) Full Text: DOI
Pomeau, Yves Extended systems: The impact of nonlinear science. (English) Zbl 0736.76027 Physica D 51, No. 1-3, 546-554 (1991). MSC: 76F99 37G99 PDFBibTeX XMLCite \textit{Y. Pomeau}, Physica D 51, No. 1--3, 546--554 (1991; Zbl 0736.76027) Full Text: DOI
Karnarski, Bertel Matrix-Differentialoperatoren erster Ordnung und ihre Anwendung auf die Dirac-Gleichung mit anomalem magnetischem Moment. (German) Zbl 0527.47031 Universität Osnabrück. 245 S. (1982). MSC: 47E05 47F05 37A30 81Q10 PDFBibTeX XML
Poenaru, V. Some aspects of the theory of defects of ordered media and gauge fields related to foliations. (English) Zbl 0485.58018 Commun. Math. Phys. 80, 127-136 (1981). MSC: 37N99 82D25 57R30 58B15 55Q99 37C85 PDFBibTeX XMLCite \textit{V. Poenaru}, Commun. Math. Phys. 80, 127--136 (1981; Zbl 0485.58018) Full Text: DOI