Callejas-Bedregal, Roberto; Morgado, Michelle F. Z.; Seade, José Milnor number and Chern classes for singular varieties: an introduction. (English) Zbl 1504.32076 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities III. Cham: Springer. 493-564 (2022). MSC: 32S05 32S55 PDFBibTeX XMLCite \textit{R. Callejas-Bedregal} et al., in: Handbook of geometry and topology of singularities III. Cham: Springer. 493--564 (2022; Zbl 1504.32076) Full Text: DOI
Lin, Xiaofang; Zeng, Caibin Morse decompositions of uniform random attractors. (English) Zbl 1476.37027 J. Differ. Equations 293, 23-47 (2021). MSC: 37B35 37H30 58E05 PDFBibTeX XMLCite \textit{X. Lin} and \textit{C. Zeng}, J. Differ. Equations 293, 23--47 (2021; Zbl 1476.37027) Full Text: DOI
Hladysh, B. I. Functions with isolated critical points on the boundary of a nonoriented surface. (English. Ukrainian original) Zbl 1479.57070 J. Math. Sci., New York 256, No. 5, 592-603 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 26-37 (2020). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 57R45 57R70 PDFBibTeX XMLCite \textit{B. I. Hladysh}, J. Math. Sci., New York 256, No. 5, 592--603 (2021; Zbl 1479.57070); translation from Neliniĭni Kolyvannya 23, No. 1, 26--37 (2020) Full Text: DOI
Yang, Jiaojiao; Hu, Wenqing; Junchi Li, Chris On the fast convergence of random perturbations of the gradient flow. (English) Zbl 1473.35542 Asymptotic Anal. 122, No. 3-4, 371-393 (2021). MSC: 35Q68 35B38 35B20 37B35 35R60 PDFBibTeX XMLCite \textit{J. Yang} et al., Asymptotic Anal. 122, No. 3--4, 371--393 (2021; Zbl 1473.35542) Full Text: DOI arXiv
Medvedev, Timur V.; Pochinka, Olga V.; Zinina, Svetlana Kh. On existence of Morse energy function for topological flows. (English) Zbl 1461.37021 Adv. Math. 378, Article ID 107518, 16 p. (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37B35 37B25 37B02 37B30 58E05 PDFBibTeX XMLCite \textit{T. V. Medvedev} et al., Adv. Math. 378, Article ID 107518, 16 p. (2021; Zbl 1461.37021) Full Text: DOI
Antony, Charel Gradient flow line near birth-death critical points. (English) Zbl 1459.37027 J. Topol. Anal. 12, No. 2, 419-463 (2020). Reviewer: Roman Srzednicki (Kraków) MSC: 37D15 37B30 37B35 37G10 PDFBibTeX XMLCite \textit{C. Antony}, J. Topol. Anal. 12, No. 2, 419--463 (2020; Zbl 1459.37027) Full Text: DOI arXiv
Hladysh, Bohdana I.; Prishlyak, Aleksandr O. Topology of functions with isolated critical points on the boundary of a 2-dimensional manifold. (English) Zbl 1376.57032 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 050, 17 p. (2017). Reviewer: Wojciech Kryszewski (Toruń) MSC: 57R45 57R70 PDFBibTeX XMLCite \textit{B. I. Hladysh} and \textit{A. O. Prishlyak}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 050, 17 p. (2017; Zbl 1376.57032) Full Text: DOI arXiv
Ching, Joshua; Cîrstea, Florica Existence and classification of singular solutions to nonlinear elliptic equations with a gradient term. (English) Zbl 1332.35097 Anal. PDE 8, No. 8, 1931-1962 (2015). MSC: 35J25 35B40 35J60 35B09 35B33 PDFBibTeX XMLCite \textit{J. Ching} and \textit{F. Cîrstea}, Anal. PDE 8, No. 8, 1931--1962 (2015; Zbl 1332.35097) Full Text: DOI
Dolan, Brian P.; Kostouki, Anna; Kubizňák, David; Mann, Robert B. Isolated critical point from Lovelock gravity. (English) Zbl 1307.83012 Classical Quantum Gravity 31, No. 24, Article ID 242001, 7 p. (2014). MSC: 83C27 83C57 83D05 83C05 37N20 PDFBibTeX XMLCite \textit{B. P. Dolan} et al., Classical Quantum Gravity 31, No. 24, Article ID 242001, 7 p. (2014; Zbl 1307.83012) Full Text: DOI arXiv Link
Li, Chong Generalized Poincaré-Hopf theorem and application to nonlinear elliptic problem. (English) Zbl 1306.35038 J. Funct. Anal. 267, No. 10, 3783-3814 (2014). MSC: 35J61 35A15 35P05 PDFBibTeX XMLCite \textit{C. Li}, J. Funct. Anal. 267, No. 10, 3783--3814 (2014; Zbl 1306.35038) Full Text: DOI
Yau, Stephen S. T.; Zhao, Linda Sharp polynomial estimate of integral points in right-angled simplices. (English) Zbl 1284.11130 J. Number Theory 133, No. 2, 398-425 (2013). MSC: 11P21 11H06 52C07 PDFBibTeX XMLCite \textit{S. S. T. Yau} and \textit{L. Zhao}, J. Number Theory 133, No. 2, 398--425 (2013; Zbl 1284.11130) Full Text: DOI
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric The string method as a dynamical system. (English) Zbl 1250.37014 J. Nonlinear Sci. 21, No. 2, 193-230 (2011). MSC: 37B35 60J70 65C20 PDFBibTeX XMLCite \textit{M. Cameron} et al., J. Nonlinear Sci. 21, No. 2, 193--230 (2011; Zbl 1250.37014) Full Text: DOI
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas On the space of trajectories of a generic gradient like vector field. (English) Zbl 1240.37016 An. Univ. Vest Timiș., Ser. Mat.-Inform. 48, No. 1-2, 45-126 (2010). Reviewer: Julius Korbas (Bratislava 4) MSC: 37B35 37D15 57R45 57R70 58E05 PDFBibTeX XMLCite \textit{D. Burghelea} et al., An. Univ. Vest Timiș., Ser. Mat.-Inform. 48, No. 1--2, 45--126 (2010; Zbl 1240.37016) Full Text: arXiv
Guo, Zongming; Ma, Li Finite Morse index steady states of van der Waals force driven thin film equations. (English) Zbl 1193.35064 J. Math. Anal. Appl. 368, No. 2, 559-572 (2010). MSC: 35J61 35B09 35B35 58E05 35J20 74K35 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{L. Ma}, J. Math. Anal. Appl. 368, No. 2, 559--572 (2010; Zbl 1193.35064) Full Text: DOI
Zheng, Bo; Zhang, Qinqin Existence and multiplicity of solutions of second-order difference boundary value problems. (English) Zbl 1204.39007 Acta Appl. Math. 110, No. 1, 131-152 (2010). Reviewer: Kazuya Tohge (Kanazawa) MSC: 39A12 34B15 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Q. Zhang}, Acta Appl. Math. 110, No. 1, 131--152 (2010; Zbl 1204.39007) Full Text: DOI
Berger, H. Nontrivial solutions of boundary value problems of second-order dynamic equations on an isolated time scale. (English) Zbl 1173.34006 Nonlinear Dyn. Syst. Theory 9, No. 1, 23-36 (2009). MSC: 34B15 39A10 58E05 PDFBibTeX XMLCite \textit{H. Berger}, Nonlinear Dyn. Syst. Theory 9, No. 1, 23--36 (2009; Zbl 1173.34006)
Farber, M.; Schutz, D. Closed 1-forms in topology and dynamics. (English. Russian original) Zbl 1179.58005 Russ. Math. Surv. 63, No. 6, 1079-1139 (2008); translation from Usp. Mat. Nauk 63, No. 6, 91-156 (2008). Reviewer: Roman Srzednicki (Kraków) MSC: 58E05 58A10 37B35 37C29 55M30 57R30 57R70 PDFBibTeX XMLCite \textit{M. Farber} and \textit{D. Schutz}, Russ. Math. Surv. 63, No. 6, 1079--1139 (2008; Zbl 1179.58005); translation from Usp. Mat. Nauk 63, No. 6, 91--156 (2008) Full Text: DOI arXiv
Abbondandolo, Alberto; Majer, Pietro Lectures on the Morse complex for infinite-dimensional manifolds. (English) Zbl 1089.37007 Biran, Paul (ed.) et al., Morse theoretic methods in nonlinear analysis and in symplectic topology. Proceedings of the NATO Advanced Study Institute, Montréal, Canada, July 2004. Dordrecht: Springer (ISBN 1-4020-4273-6/pbk; 1-4020-4272-8/hbk; 1-4020-4266-3/e-book). NATO Science Series II: Mathematics, Physics and Chemistry 217, 1-74 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37B30 34G20 34C45 58E05 37B35 37-02 37D15 PDFBibTeX XMLCite \textit{A. Abbondandolo} and \textit{P. Majer}, NATO Sci. Ser. II, Math. Phys. Chem. 217, 1--74 (2006; Zbl 1089.37007)
Yoshikawa, Atsuko Yamada; Yoshikawa, Ken-Ichi Isolated critical points and adiabatic limits of Chern forms. (English) Zbl 1087.58026 Brasselet, Jean-Paul (ed.) et al., Franco-Japanese singularities. Proceedings of the 2nd Franco-Japanese singularity conference, CIRM, Marseille-Luminy, France, September 9–13, 2002. Paris: Société Mathématique de France (ISBN 2-85629-166-X/pbk). Séminaires et Congrès 10, 443-460 (2005). Reviewer: Carlos Galindo (Castellon) MSC: 58K05 58K20 57R20 PDFBibTeX XMLCite \textit{A. Y. Yoshikawa} and \textit{K.-I. Yoshikawa}, Sémin. Congr. 10, 443--460 (2005; Zbl 1087.58026) Full Text: Link
Bobylev, N. A.; Bulatov, A. V.; Kuznetsov, Yu. O. An approximation scheme for defining the Conley index of isolated critical points. (English. Russian original) Zbl 1084.37015 Differ. Equ. 40, No. 11, 1539-1544 (2004); translation from Differ. Uravn. 40, No. 11, 1462-1467 (2004). Reviewer: Thomas J. Bartsch (Gießen) MSC: 37B30 58E05 PDFBibTeX XMLCite \textit{N. A. Bobylev} et al., Differ. Equ. 40, No. 11, 1539--1544 (2004; Zbl 1084.37015); translation from Differ. Uravn. 40, No. 11, 1462--1467 (2004) Full Text: DOI
Guo, Yuxia Morse theory for strongly indefinite functional and its applications. (English) Zbl 1070.58010 Brezis, H. (ed.) et al., Topology methods, variational methods, and their applications. Proceedings of the ICM 2002 satellite conference on nonlinear functional analysis, Taiyuan, China, August 14–18, 2002. River Edge, NJ: World Scientific (ISBN 981-238-262-3/hbk). 125-131 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 58E05 35J50 37J45 47J30 PDFBibTeX XMLCite \textit{Y. Guo}, in: Topology methods, variational methods, and their applications. Proceedings of the ICM 2002 satellite conference on nonlinear functional analysis, Taiyuan, China, August 14--18, 2002. River Edge, NJ: World Scientific. 125--131 (2003; Zbl 1070.58010)
Rudyak, Yuli B.; Schlenk, Felix Lusternik-Schnirelmann theory for fixed points of maps. (English) Zbl 1044.37011 Topol. Methods Nonlinear Anal. 21, No. 1, 171-194 (2003). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 37B35 37B99 55M20 58E05 55M30 PDFBibTeX XMLCite \textit{Y. B. Rudyak} and \textit{F. Schlenk}, Topol. Methods Nonlinear Anal. 21, No. 1, 171--194 (2003; Zbl 1044.37011) Full Text: DOI
Bonatti, Christian; Villadelprat, Jordi The index of stable critical points. (English) Zbl 1013.37016 Topology Appl. 126, No. 1-2, 263-271 (2002). Reviewer: Marco Spadini (Firenze) MSC: 37C10 34D20 55M25 57R25 57R70 PDFBibTeX XMLCite \textit{C. Bonatti} and \textit{J. Villadelprat}, Topology Appl. 126, No. 1--2, 263--271 (2002; Zbl 1013.37016) Full Text: DOI
Dutertre, Nicolas Courbures et singularités réelles. (Curvatures and real singularities). (French) Zbl 1022.58017 Comment. Math. Helv. 77, No. 4, 846-863 (2002). MSC: 58K05 58K60 32S55 PDFBibTeX XMLCite \textit{N. Dutertre}, Comment. Math. Helv. 77, No. 4, 846--863 (2002; Zbl 1022.58017) Full Text: DOI
Corvellec, J.-N.; Hantoute, A. Homotopical stability of isolated critical points of continuous functionals. (English) Zbl 1008.58011 Set-Valued Anal. 10, No. 2-3, 143-164 (2002). Reviewer: Marléne Frigon (Montréal) MSC: 58E05 49J52 PDFBibTeX XMLCite \textit{J. N. Corvellec} and \textit{A. Hantoute}, Set-Valued Anal. 10, No. 2--3, 143--164 (2002; Zbl 1008.58011) Full Text: DOI
Razvan, M. R. Relative Ljusternik-Schnirelmann category of index pairs and applications to critical point theory. (English) Zbl 1026.37009 Proceedings of the 31st Iranian mathematics conference, Tehran, Islamic Republic of Iran, August 27-30, 2000. Tehran: University of Tehran, 50-55 (2000). Reviewer: Thomas J.Bartsch (Gießen) MSC: 37B35 58E05 37B30 PDFBibTeX XMLCite \textit{M. R. Razvan}, in: Proceedings of the 31st Iranian mathematics conference, Tehran, Islamic Republic of Iran, August 27--30, 2000. Tehran: University of Tehran. 50--55 (2000; Zbl 1026.37009)
Kartsatos, Athanassios G.; Skrypnik, Igor V. The index for a topological degree theory for densly defined operators of type \((S_+)_{0,L}\) in Banach spaces. (English) Zbl 0968.47031 J. Korean Math. Soc. 37, No. 6, 901-913 (2000). MSC: 47J05 47H11 58E05 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, J. Korean Math. Soc. 37, No. 6, 901--913 (2000; Zbl 0968.47031)
Kartsatos, Athanassios G.; Skrypnik, Igor V. The index of a critical point for nonlinear elliptic operators with strong coefficient growth. (English) Zbl 0953.47042 J. Math. Soc. Japan 52, No. 1, 109-137 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47H11 47J05 47J10 35B32 46E35 47J15 PDFBibTeX XMLCite \textit{A. G. Kartsatos} and \textit{I. V. Skrypnik}, J. Math. Soc. Japan 52, No. 1, 109--137 (2000; Zbl 0953.47042) Full Text: DOI
Bartsch, Thomas; Li, Shujie Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. (English) Zbl 0872.58018 Nonlinear Anal., Theory Methods Appl. 28, No. 3, 419-441 (1997). Reviewer: A.Szulkin (Stockholm) MSC: 58E05 34B15 35J65 PDFBibTeX XMLCite \textit{T. Bartsch} and \textit{S. Li}, Nonlinear Anal., Theory Methods Appl. 28, No. 3, 419--441 (1997; Zbl 0872.58018) Full Text: DOI
Dutertre, Nicolas On \(p\)-parameter bifurcation of an \(n\)-dimensional function-germ. (English) Zbl 0902.32015 Manuscr. Math. 94, No. 1, 21-31 (1997). Reviewer: Th.J.Bartsch (Gießen) MSC: 32S05 32S50 58E05 PDFBibTeX XMLCite \textit{N. Dutertre}, Manuscr. Math. 94, No. 1, 21--31 (1997; Zbl 0902.32015) Full Text: DOI EuDML
Gusein-Zade, S. M. On a problem of B. Teissier. (English) Zbl 0895.58007 Khovanskij, A. (ed.) et al., Topics in singularity theory. V. I. Arnold’s 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 180(34), 117-125 (1997). Reviewer: E.Outerelo (Madrid) MSC: 58C25 58K99 32S30 PDFBibTeX XMLCite \textit{S. M. Gusein-Zade}, Transl., Ser. 2, Am. Math. Soc. 180, 117--125 (1997; Zbl 0895.58007)
Meng, Xiaoming; Liang, Zhaojun The global structure of the trajectories on a sphere of the tangent vector field of a homogeneous vector field of degree \(1\) in \(\mathbf R^3\). (Chinese. English summary) Zbl 0945.34017 J. Cent. China Norm. Univ., Nat. Sci. 28, No. 1, 13-16 (1994). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 37C15 34C25 PDFBibTeX XMLCite \textit{X. Meng} and \textit{Z. Liang}, J. Cent. China Norm. Univ., Nat. Sci. 28, No. 1, 13--16 (1994; Zbl 0945.34017)
Gusejn-Zade, S. M. On singularities from which an \(A_ 1\) can be split off. (English. Russian original) Zbl 0793.32013 Funct. Anal. Appl. 27, No. 1, 57-60 (1993); translation from Funkts. Anal. Prilozh. 27, No. 1, 68-71 (1993). Reviewer: V.Cossart (Versailles) MSC: 32S05 32S15 32S30 PDFBibTeX XMLCite \textit{S. M. Gusejn-Zade}, Funkts. Anal. Prilozh. 27, No. 1, 68--71 (1993; Zbl 0793.32013); translation from Funkts. Anal. Prilozh. 27, No. 1, 68--71 (1993)
El Amrani, Mohammed The canonical hermitean form on the invariant part of the cohomology of the Milnor fibre of an isolated singularity of a quasi- homogeneous polynomial. (La forme hermitienne canonique sur la partie invariante de la cohomologie de la fibre de Milnor d’une singularité isolée de polynôme quasi- homogène.) (French) Zbl 0766.32010 Compos. Math. 83, No. 1, 107-125 (1992). Reviewer: D.Barlet (Vandœuvre-les-Nancy) MSC: 32C30 32S70 32S05 14C30 PDFBibTeX XMLCite \textit{M. El Amrani}, Compos. Math. 83, No. 1, 107--125 (1992; Zbl 0766.32010) Full Text: Numdam EuDML
Moroianu, Mihnea Degenerated double points of the equation of a plane curve. (Romanian. English summary) Zbl 0757.26016 Stud. Cercet. Mat. 43, No. 5-6, 299-303 (1991). Reviewer: S.Marcus (Bucureşti) MSC: 26B99 53A04 PDFBibTeX XMLCite \textit{M. Moroianu}, Stud. Cercet. Mat. 43, No. 5--6, 299--303 (1991; Zbl 0757.26016)
Geandier, Françoise Déformations à nombre de Milnor constant: Quelques résultats sur les polynômes de Bernstein. (Deformations of constant Milnor numbers: Some results on Bernstein polynomials). (French) Zbl 0721.32013 Compos. Math. 77, No. 2, 131-163 (1991); correction 78, No. 2, 239 (1991). Reviewer: S.Tajima (Niigata) MSC: 32S30 32C38 32S05 32G10 PDFBibTeX XMLCite \textit{F. Geandier}, Compos. Math. 77, No. 2, 131--163 (1991; Zbl 0721.32013) Full Text: Numdam Numdam EuDML
Goryunov, V. V. Monodromy of the image of the mapping \(\mathbb{C}^ 2\to\mathbb{C}^ 3\). (English. Russian original) Zbl 0744.32019 Funct. Anal. Appl. 25, No. 3, 174-180 (1991); translation from Funkts. Anal. Prilozh. 25, No. 3, 12-18 (1991). Reviewer: Na Jisheng (Beijing) MSC: 32S40 32S05 PDFBibTeX XMLCite \textit{V. V. Goryunov}, Funct. Anal. Appl. 25, No. 3, 174--180 (1991; Zbl 0744.32019); translation from Funkts. Anal. Prilozh. 25, No. 3, 12--18 (1991) Full Text: DOI
Harris, Gary A. Degenerate surfaces in \(\mathbb{C}^2\). (English) Zbl 0766.32020 Several complex variables and complex geometry, Proc. Summer Res. Inst., Santa Cruz/CA (USA) 1989, Proc. Symp. Pure Math. 52, Part 3, 179-189 (1991). Reviewer: Jan Stevens (Hamburg) MSC: 32V40 58E05 PDFBibTeX XMLCite \textit{G. A. Harris}, Proc. Symp. Pure Math. None, 179--189 (1991; Zbl 0766.32020)
Wang, Zhiqiang Degree of equivariant gradient mappings via Morse theory. (English) Zbl 0738.58008 Northeast. Math. J. 6, No. 3, 339-345 (1990). Reviewer: A.Riede (Heidelberg) MSC: 58E05 57R70 47H11 PDFBibTeX XMLCite \textit{Z. Wang}, Northeast. Math. J. 6, No. 3, 339--345 (1990; Zbl 0738.58008)
Mazzi, Luisa; Sabatini, Marco A characterization of centres via first integrals. (English) Zbl 0671.34024 Advanced topics in the theory of dynamical systems, Notes Rep. Math. Sci. Eng. 6, 165-177 (1989). Reviewer: L.Mazzi MSC: 34C05 34D99 PDFBibTeX XML
Mazzi, Luisa; Sabatini, Marco A characterization of centres via first integrals. (English) Zbl 0667.34036 J. Differ. Equations 76, No. 2, 222-237 (1988). Reviewer: S.Mirica MSC: 34C05 37-XX 34A12 PDFBibTeX XMLCite \textit{L. Mazzi} and \textit{M. Sabatini}, J. Differ. Equations 76, No. 2, 222--237 (1988; Zbl 0667.34036) Full Text: DOI
Oda, Tadao K. Saito’s period map for holomorphic functions with isolated critical points. (English) Zbl 0643.32005 Algebraic geometry, Proc. Symp., Sendai/jap. 1985, Adv. Stud. Pure Math. 10, 591-648 (1987). Reviewer: T.Krasiński MSC: 32S05 32Sxx 32S30 32-02 PDFBibTeX XML
Saeki, Osamu Knotted homology spheres defined by weighted homogeneous polynomials. (English) Zbl 0633.32012 J. Fac. Sci., Univ. Tokyo, Sect. I A 34, 43-50 (1987). Reviewer: J.Gopala Krishna MSC: 32B15 57Q45 PDFBibTeX XMLCite \textit{O. Saeki}, J. Fac. Sci., Univ. Tokyo, Sect. I A 34, 43--50 (1987; Zbl 0633.32012)
Sjöstrand, Johannes Semiclassical resonances generated by non-degenerate critical points. (English) Zbl 0627.35074 Pseudo-differential operators, Proc. Conf., Oberwolfach/Ger. 1986, Lect. Notes Math. 1256, 402-429 (1987). Reviewer: J.C.Nosmas MSC: 35P15 35J10 PDFBibTeX XML
Rudolph, Lee Isolated critical points of maps from \({\mathbb{R}}^ 4\) to \({\mathbb{R}}^ 2\) and a natural splitting of the Milnor number of a classical fibred link. II. (English) Zbl 0626.57021 Geometry and topology, Proc. Conf., Athens/Ga. 1985, Lect. Notes Pure Appl. Math. 105, 251-263 (1987). MSC: 57R45 57M25 32S05 PDFBibTeX XML
Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). (French) Zbl 0615.58011 C. R. Acad. Sci., Paris, Sér. I 304, 375-377, 431-434 (1987). MSC: 37G15 PDFBibTeX XMLCite \textit{J. Ecalle} et al., C. R. Acad. Sci., Paris, Sér. I 304, 375--377, 431--434 (1987; Zbl 0615.58011)
Gusejn-Zade, S. M. An equivariant analogue of the index of a gradient vector field. (English) Zbl 0613.58006 Global analysis - studies and applications II, Lect. Notes Math. 1214, 196-210 (1986); translation from Analiz na mnogoobraziyakh i differentsial’nye uravneniya, Nov. Global’nom Anal. 1986, 43-60 (1986). Reviewer: G.Popov MSC: 58C25 58K99 32S05 14B05 PDFBibTeX XML
Varchenko, A. N. Local classification of volume forms in the presence of a hypersurface. (English. Russian original) Zbl 0661.32017 Funct. Anal. Appl. 19, 269-276 (1985); translation from Funkts. Anal. Prilozh. 19, NO. 4, 23-31 (1985). MSC: 32S05 32G13 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Funct. Anal. Appl. 19, 269--276 (1985; Zbl 0661.32017); translation from Funkts. Anal. Prilozh. 19, NO. 4, 23--31 (1985) Full Text: DOI
Varchenko, A. N.; Khovanskij, A. G. Asymptotics of integrals over vanishing cycles and the Newton polyhedron. (English. Russian original) Zbl 0595.32012 Sov. Math., Dokl. 32, 122-127 (1985); translation from Dokl. Akad. Nauk SSSR 283, 521-525 (1985). Reviewer: Vo Van Tan MSC: 32S05 14B05 14C30 32Sxx 32J25 32C30 PDFBibTeX XMLCite \textit{A. N. Varchenko} and \textit{A. G. Khovanskij}, Sov. Math., Dokl. 32, 122--127 (1985; Zbl 0595.32012); translation from Dokl. Akad. Nauk SSSR 283, 521--525 (1985)
Abduvaitov, Kh. On the multiplicity of a singular point of a polynomial vector field. (Russian) Zbl 0582.34036 Dokl. Akad. Nauk Tadzh. SSR 28, 125-129 (1985). Reviewer: Yanqian Ye MSC: 34C05 PDFBibTeX XMLCite \textit{Kh. Abduvaitov}, Dokl. Akad. Nauk Tadzh. SSR 28, 125--129 (1985; Zbl 0582.34036)
Igusa, Junichi Complex power of a hypersurface with isolated singularity. (English) Zbl 0579.32010 Differential topology - geometry and related fields, and their applications to the physical sciences and engineering, Dedic. H. Poincaré, Teubner-Texte Math. 76, 238-247 (1985). MSC: 32S05 32Sxx 14J17 32G20 14H05 32D15 PDFBibTeX XML
Block, Louis; Franke, John E. Isolated chain recurrent points for one-dimensional maps. (English) Zbl 0567.54025 Proc. Am. Math. Soc. 94, 728-730 (1985). MSC: 54H20 26A18 PDFBibTeX XMLCite \textit{L. Block} and \textit{J. E. Franke}, Proc. Am. Math. Soc. 94, 728--730 (1985; Zbl 0567.54025) Full Text: DOI
Roberts, Mark Equivariant Milnor numbers and invariant Morse approximations. (English) Zbl 0535.57019 J. Lond. Math. Soc., II. Ser. 31, 487-500 (1985). MSC: 57S17 58C25 58K99 57R70 57R45 57R91 32S30 32Sxx PDFBibTeX XMLCite \textit{M. Roberts}, J. Lond. Math. Soc., II. Ser. 31, 487--500 (1985; Zbl 0535.57019) Full Text: DOI
Lebedeva, L. N. The qualitative investigation of an \(A_ 2\)-system of a particular form. (English) Zbl 0569.34029 Vestn. Leningr. Univ., Math. 17, No. 4, 37-39 (1984). MSC: 34C05 PDFBibTeX XMLCite \textit{L. N. Lebedeva}, Vestn. Leningr. Univ., Math. 17, No. 4, 37--39 (1984; Zbl 0569.34029)
Dell’Antonio, G. F.; D’Onofrio, B. On the number of periodic solutions of a Hamiltonian system near an equilibrium point. (English) Zbl 0564.70023 Boll. Unione Mat. Ital., VI. Ser., B 3, 809-835 (1984). Reviewer: A.Borisov MSC: 70K30 PDFBibTeX XMLCite \textit{G. F. Dell'Antonio} and \textit{B. D'Onofrio}, Boll. Unione Mat. Ital., VI. Ser., B 3, 809--835 (1984; Zbl 0564.70023)
Lebedeva, L. N. Qualitative investigation of an \(A_ 2\)-system of special form. (Russian. English summary) Zbl 0549.34036 Vestn. Leningr. Univ. 1984, No. 19, Mat. Mekh. Astron. 1984, No. 4, 81-82 (1984). MSC: 34C05 PDFBibTeX XMLCite \textit{L. N. Lebedeva}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1984, No. 4, 81--82 (1984; Zbl 0549.34036)
Dancer, E. N. Degenerate critical points, homotopy indices and Morse inequalities. (English) Zbl 0525.58012 J. Reine Angew. Math. 350, 1-22 (1984). MSC: 58E05 57R70 PDFBibTeX XMLCite \textit{E. N. Dancer}, J. Reine Angew. Math. 350, 1--22 (1984; Zbl 0525.58012) Full Text: DOI Crelle EuDML
Jacquemard, Alain Fibrations de Milnor pour des applications réelles. (Milnor fibrations of real functions). (French) Zbl 0589.32018 C. R. Acad. Sci., Paris, Sér. I 296, 443-446 (1983). Reviewer: R.R.Simha MSC: 32S05 57R45 PDFBibTeX XMLCite \textit{A. Jacquemard}, C. R. Acad. Sci., Paris, Sér. I 296, 443--446 (1983; Zbl 0589.32018)
Gardner, Robert A. On the detonation of combustible gas. (English) Zbl 0543.76152 Trans. Am. Math. Soc. 277, 431-468 (1983). MSC: 76V05 80A25 58J20 PDFBibTeX XMLCite \textit{R. A. Gardner}, Trans. Am. Math. Soc. 277, 431--468 (1983; Zbl 0543.76152) Full Text: DOI
Mukhamadiev, Eh. On homology groups of critical points of smooth functions. (Russian) Zbl 0537.58016 Dokl. Akad. Nauk Tadzh. SSR 26, 553-557 (1983). Reviewer: S.Ju.Piljugin MSC: 58E05 58C25 58K99 57R70 PDFBibTeX XMLCite \textit{Eh. Mukhamadiev}, Dokl. Akad. Nauk Tadzh. SSR 26, 553--557 (1983; Zbl 0537.58016)
Varchenko, A. N. Semicontinuity of the complex singularity index. (English. Russian original) Zbl 0536.32005 Funct. Anal. Appl. 17, 307-309 (1983); translation from Funkts. Anal. Prilozh. 17, No. 4, 77-78 (1983). MSC: 32S05 32B10 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Funct. Anal. Appl. 17, 307--309 (1983; Zbl 0536.32005); translation from Funkts. Anal. Prilozh. 17, No. 4, 77--78 (1983) Full Text: DOI
Yau, Stephen S.-T. Milnor algebras and equivalence relations among holomorphic functions. (English) Zbl 0528.32020 Bull. Am. Math. Soc., New Ser. 9, 235-239 (1983). MSC: 32H99 32B10 32Sxx 32S05 32A38 14B05 32A05 PDFBibTeX XMLCite \textit{S. S. T. Yau}, Bull. Am. Math. Soc., New Ser. 9, 235--239 (1983; Zbl 0528.32020) Full Text: DOI
Suzuki, Masahiko The mu-number constant stratum of a quasihomogeneous function of corank two is smooth. (English) Zbl 0525.32008 Proc. Japan Acad., Ser. A 59, 188-190 (1983). MSC: 32S05 32S60 32B10 32Sxx 14B05 PDFBibTeX XMLCite \textit{M. Suzuki}, Proc. Japan Acad., Ser. A 59, 188--190 (1983; Zbl 0525.32008) Full Text: DOI
Lichtin, Ben Estimates and formulae for the \(C^ 0 \)degree of sufficiency of plane curves. (English) Zbl 0515.32003 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 2, 155-160 (1983). MSC: 32S05 32B10 PDFBibTeX XML
Smoller, Joel Shock waves and reaction-diffusion equations. (English) Zbl 0508.35002 Grundlehren der Mathematischen Wissenschaften, Bd. 258. New York Heidelberg - Berlin: Springer-Verlag. XXI, 581 p., 162 figs. DM 128.00; $ 55.20 (1983). MSC: 35-02 35L65 35L67 58E05 37C75 37C10 37C80 58J45 76L05 76N15 76W05 PDFBibTeX XML
Malikov, Kh. M. Overdetermination of a system of differential equations for versal integrals of type A, D, and E. (English. Russian original) Zbl 0507.35006 Differ. Equations 18, 986-991 (1983); translation from Differ. Uravn. 18, 1394-1401 (1982). MSC: 35B30 35N10 PDFBibTeX XMLCite \textit{Kh. M. Malikov}, Differ. Equations 18, 986--991 (1983; Zbl 0507.35006); translation from Differ. Uravn. 18, 1394--1401 (1982)
Perron, Bernard “mu constant” implique “type topologique constant” en dimension complexe trois. (French) Zbl 0526.32009 C. R. Acad. Sci., Paris, Sér. I 295, 735-738 (1982). MSC: 32S05 58C25 58K99 14B05 32Sxx 32B10 PDFBibTeX XMLCite \textit{B. Perron}, C. R. Acad. Sci., Paris, Sér. I 295, 735--738 (1982; Zbl 0526.32009)
Khimshiashvili, G. N. Euler characteristic of a manifold and the critical points of finite multiplicity of smooth functions. (Russian) Zbl 0519.57027 Tr. Tbilis. Mat. Inst. Razmadze 68, 123-141 (1982). MSC: 57R70 58E05 57R20 57R45 32Sxx PDFBibTeX XMLCite \textit{G. N. Khimshiashvili}, Proc. A. Razmadze Math. Inst. 68, 123--141 (1982; Zbl 0519.57027)
Varchenko, A. N. A lower bound for the codimension of the stratum mu=const in terms of the mixed Hodge structure. (English) Zbl 0517.32004 Mosc. Univ. Math. Bull. 37, No. 6, 30-33 (1982). MSC: 32B10 14C30 32S60 58A14 32S30 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Mosc. Univ. Math. Bull. 37, No. 6, 30--33 (1982; Zbl 0517.32004)
Varchenko, A. N. A lower bound for the codimension of the strata mu=const in terms of the mixed Hodge structure. (Russian) Zbl 0511.32004 Vestn. Mosk. Univ., Ser. I 1982, No. 6, 28-31 (1982). MSC: 32B10 32S45 14C30 58A14 32S30 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Vestn. Mosk. Univ., Ser. I 1982, No. 6, 28--31 (1982; Zbl 0511.32004)
Firby, P. A.; Gardiner, C. F. Surface topology. (English) Zbl 0507.57001 Ellis Horwood Series in Mathematics and Its Applications. Chichester: Ellis Horwood Limited; New York etc.: Halsted Press: a Division of John Wiley & Sons. 216 p. hbk: £19.50; pbk: £6.90 (1982). MSC: 57-01 57N05 57R25 51M10 51M05 57M05 PDFBibTeX XML
Varchenko, A. N. Asymptotic Hodge structure in the vanishing cohomology. (English) Zbl 0489.14003 Math. USSR, Izv. 18, 469-512 (1982). MSC: 14C30 32S05 32G20 14B05 14F25 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Math. USSR, Izv. 18, 469--512 (1982; Zbl 0489.14003) Full Text: DOI
Hofer, Helmut Variational and topological methods in partially ordered Hilbert spaces. (English) Zbl 0488.47034 Math. Ann. 261, 493-514 (1982). MSC: 47J05 47F05 PDFBibTeX XMLCite \textit{H. Hofer}, Math. Ann. 261, 493--514 (1982; Zbl 0488.47034) Full Text: DOI EuDML
Rothe, E. H. On the connection between critical point theory and Leray-Schauder degree. (English) Zbl 0486.47036 J. Math. Anal. Appl. 88, 265-269 (1982). MSC: 47J05 58E05 PDFBibTeX XMLCite \textit{E. H. Rothe}, J. Math. Anal. Appl. 88, 265--269 (1982; Zbl 0486.47036) Full Text: DOI
Livshits, I. S. Automorphisms of the complement of the bifurcation set of functions for simple singularities. (English) Zbl 0493.32008 Funct. Anal. Appl. 15, 29-32 (1981). MSC: 32S05 32Sxx 32M05 PDFBibTeX XMLCite \textit{I. S. Livshits}, Funct. Anal. Appl. 15, 29--32 (1981; Zbl 0493.32008) Full Text: DOI
Varchenko, A. N. Asymptotic Hodge structure in vanishing cohomologies. (Russian) Zbl 0476.14002 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 540-591 (1981). MSC: 14C30 14C35 32G20 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 540--591 (1981; Zbl 0476.14002)
Caprino, Silvia Generalized Hopf bifurcation. (English) Zbl 0465.34027 Nonlinear differential equations: invariance, stability, and bifurcation, Proc. Symp. int. Conf., Trento/Italy 1980, 77-84 (1981). MSC: 34C25 35B32 PDFBibTeX XML
Livshits, I. S. Automorphisms of the complement to the bifurcation set of functions for simple singularities. (Russian) Zbl 0465.32005 Funkts. Anal. Prilozh. 15, No. 1, 38-42 (1981). MSC: 32S05 32M05 32Sxx PDFBibTeX XMLCite \textit{I. S. Livshits}, Funkts. Anal. Prilozh. 15, No. 1, 38--42 (1981; Zbl 0465.32005)
Nobile, Augusto On certain numbers associated to isolated critical points. (English) Zbl 0443.14003 Math. Z. 177, 503-517 (1981). MSC: 14B07 14B05 14B12 13F25 14B10 PDFBibTeX XMLCite \textit{A. Nobile}, Math. Z. 177, 503--517 (1981; Zbl 0443.14003) Full Text: DOI EuDML
Varchenko, A. N. The asymptotics of holomorphic forms determine a mixed Hodge structure. (English. Russian original) Zbl 0516.14007 Sov. Math., Dokl. 22, 772-775 (1980); translation from Dokl. Akad. Nauk SSSR 255, 1035-1038 (1980). MSC: 14C30 32S05 58A14 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Sov. Math., Dokl. 22, 772--775 (1980; Zbl 0516.14007); translation from Dokl. Akad. Nauk SSSR 255, 1035--1038 (1980)
Yomdin, Y. Some estimates for a decomposition of hypersurface singularities into the simplest ones. (English) Zbl 0446.14016 Isr. J. Math. 36, 126-132 (1980). Reviewer: Mutsuo Oka (Tokyo) MSC: 14J17 32S05 14B05 PDFBibTeX XMLCite \textit{Y. Yomdin}, Isr. J. Math. 36, 126--132 (1980; Zbl 0446.14016) Full Text: DOI
Bochnak, Jacek; Kucharz, Wojciech Sur les germes d’applications différentiables à singularites isolees. (French) Zbl 0458.58006 Trans. Am. Math. Soc. 252, 115-131 (1979). MSC: 58C25 58K99 32S05 57R45 14B05 PDFBibTeX XMLCite \textit{J. Bochnak} and \textit{W. Kucharz}, Trans. Am. Math. Soc. 252, 115--131 (1979; Zbl 0458.58006) Full Text: DOI
Shcherbak, I. G. Algebras of automorphic forms with three generators. (English. Russian original) Zbl 0483.30031 Funct. Anal. Appl. 12, 156-158 (1978); translation from Funkts. Anal. Prilozh. 12, No. 2, 93-94 (1978). MSC: 30F35 32N10 11F27 PDFBibTeX XMLCite \textit{I. G. Shcherbak}, Funct. Anal. Appl. 12, 156--158 (1978; Zbl 0483.30031); translation from Funkts. Anal. Prilozh. 12, No. 2, 93--94 (1978) Full Text: DOI
Arnol’d, V. I. Der Index eines singulären Punktes eines Vektorfeldes, die Petrovskii- Oleiniksche Ungleichung und gemischte Hodgesche Strukturen. (Russian) Zbl 0398.57031 Funkts. Anal. Prilozh. 12, No. 1, 1-14 (1978). MSC: 57R45 14C30 14F25 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Funkts. Anal. Prilozh. 12, No. 1, 1--14 (1978; Zbl 0398.57031)
Teissier, B. Variétés polaires. I: Invariants polaires des singularites d’hypersurfaces. (French) Zbl 0446.32002 Invent. Math. 40, 267-292 (1977). MSC: 32S05 14J17 14B05 32B10 PDFBibTeX XMLCite \textit{B. Teissier}, Invent. Math. 40, 267--292 (1977; Zbl 0446.32002) Full Text: DOI EuDML
Lam, Ping-Fun Nesting property for Liapunov functions associated with an equilibrium point. (English) Zbl 0398.57037 Rend. Circ. Mat. Palermo, II. Ser. 25, 79-82 (1976). MSC: 57R70 58C25 58K99 PDFBibTeX XMLCite \textit{P.-F. Lam}, Rend. Circ. Mat. Palermo (2) 25, 79--82 (1976; Zbl 0398.57037) Full Text: DOI