Sun, Mengfeng; Lou, Yijun; Fu, Xinchu Analysis of equilibria and connecting orbits in a nonlinear viral infection model. (English) Zbl 1546.34112 SIAM J. Appl. Dyn. Syst. 23, No. 2, 1272-1312 (2024). MSC: 34C60 92D30 34E15 34C20 34C05 34D20 34C37 37B30 34D23 × Cite Format Result Cite Review PDF Full Text: DOI
Alpert, Hannah; Manin, Fedor Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories. (English) Zbl 07822003 Geom. Topol. 28, No. 2, 641-699 (2024). Reviewer: Aurelien Djament (Villetaneuse) MSC: 55N10 55R80 16S15 18A25 55N31 57Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonda, Alessandro; Mamo, Natnael Gezahegn; Obersnel, Franco; Sfecci, Andrea Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions. (English) Zbl 1537.34039 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 31, 30 p. (2024). Reviewer: Yanqiong Lu (Lanzhou) MSC: 34B15 37J40 34E10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
de Oliveira, Marcos Gil; de Almeida, Alfredo Miguel Ozorio Semiclassical approximation of the Wigner function for the canonical ensemble. (English) Zbl 1534.81077 J. Stat. Phys. 190, No. 9, Paper No. 153, 28 p. (2023). MSC: 81S30 15A21 81Q20 80A10 37C50 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Huafeng; Wu, Xuan; Yu, Jianshe Multiple symmetric periodic solutions of differential systems with distributed delay. (English) Zbl 1541.34091 J. Differ. Equations 373, 626-653 (2023). MSC: 34K13 34K17 47H11 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Cavalcante, Marcos P.; de Oliveira, Darlan F.; dos S. Silva, Robson Index bounds for closed minimal surfaces in 3-manifolds with the Killing property. (English) Zbl 07842493 Mat. Contemp. 50, 38-53 (2022). MSC: 53A10 49Q05 53C42 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sağlam, Murat Holomorphic curves in the symplectizations of lens spaces: an elementary approach. (English) Zbl 1514.57035 Münster J. Math. 15, No. 2, 389-440 (2022). Reviewer: Cheng-Yong Du (Chengdu) MSC: 57R17 32Q65 57K33 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demailly, Jean-Pierre On the locus of higher order jets of entire curves in complex projective varieties. (English) Zbl 1506.14077 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 56, 17 p. (2022). Reviewer: Wern Yeong (Notre Dame) MSC: 14J15 32Q45 32H30 14F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Burghelea, Dan Correction to: “Alternative to Morse-Novikov theory for a closed 1-form. I”. (English) Zbl 1482.55008 Eur. J. Math. 8, No. 1, 426 (2022). MSC: 55N35 46M20 57R19 58A10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ayzenberg, Anton; Sorokin, Konstantin Topological approach to diagonalization algorithms. arXiv:2204.06111 Preprint, arXiv:2204.06111 [math.AT] (2022). MSC: 57S12 14M15 15A20 37C25 37D15 55M35 05C78 57-08 37C05 55N25 55N30 52C45 05C62 05C75 57-04 55T10 × Cite Format Result Cite Full Text: arXiv OA License
Huang, Teng; Tan, Qiang Vanishing theorems on complete Riemannian manifold with a parallel 1-form. (English) Zbl 1526.53067 Math. Nachr. 294, No. 12, 2329-2339 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53C55 53C21 58A12 58A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaofei; Liu, Chungen Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth. (English) Zbl 1476.34104 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 45, 8 p. (2021). MSC: 34C25 37J40 58E05 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, A-Li; Du, Cheng-Yong On Morse-Smale-Witten type cohomologies for orbifolds. (English) Zbl 1476.57048 Topology Appl. 301, Article ID 107527, 15 p. (2021). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 57R18 37D15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yahao; Respondek, Witold Geometric analysis of differential-algebraic equations via linear control theory. (English) Zbl 1472.34018 SIAM J. Control Optim. 59, No. 1, 103-130 (2021). Reviewer: Maria Filipkovska (Kharkiv) MSC: 34A09 34H05 93C05 93C15 34A30 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Viet Dang; Rivière, Gabriel Topology of Pollicott-Ruelle resonant states. (English) Zbl 1475.37036 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 827-871 (2020). MSC: 37D15 37D20 37C40 37D35 58A10 58A12 58A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Barraud, J.-F.; Gadbled, A.; Golovko, R.; Lê, H. V. Novikov fundamental group. (English) Zbl 1462.57037 Int. Math. Res. Not. 2020, No. 24, 10447-10494 (2020). Reviewer: Mihai Damian (Strasbourg) MSC: 57R70 57M05 57R19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burghelea, Dan Alternative to Morse-Novikov theory for a closed 1-form. I. (English) Zbl 1467.55005 Eur. J. Math. 6, No. 3, 713-750 (2020); correction ibid. 8, No. 1, 426 (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 55N35 46M20 57R19 58A10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viana, Celso Index one minimal surfaces in spherical space forms. (English) Zbl 1430.53069 Adv. Math. 360, Article ID 106900, 18 p. (2020). MSC: 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krajňák, Vladimír; Wiggins, Stephen Dynamics of the Morse oscillator: analytical expressions for trajectories, action-angle variables, and chaotic dynamics. (English) Zbl 1433.37062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 11, Article ID 1950157, 8 p. (2019). MSC: 37J46 34C15 37J40 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarquis Aiex, Nicolau Index estimate of self-shrinkers in \(\mathbb {R}^3\) with asymptotically conical ends. (English) Zbl 1501.53005 Proc. Am. Math. Soc. 147, No. 2, 799-809 (2019). MSC: 53A05 53C21 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Chunhua; Wu, Dong-Lun Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems. (English) Zbl 1499.34258 Bound. Value Probl. 2018, Paper No. 56, 10 p. (2018). MSC: 34C37 58E05 58E50 34E10 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Isaenkova, Natal’ya Viktorovna; Zhuzhoma, Evgeniĭ Viktorovich On the compliance of the basic sets of A-endomorphisms and A-diffeomorphisms. (Russian. English summary) Zbl 1473.37040 Chelyabinskiĭ Fiz.-Mat. Zh. 3, No. 3, 295-310 (2018). MSC: 37D20 37D05 37C05 37G05 37C20 37D15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Ding, Hao Basic forms and Morse-Novikov cohomology of Lie groupoids. (English) Zbl 1404.22008 Math. Nachr. 291, No. 13, 1989-2007 (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 22A22 58A12 58H05 × Cite Format Result Cite Review PDF Full Text: DOI
Lê, Công-Trình A note on optimization with Morse polynomials. (English) Zbl 1400.14016 Commun. Korean Math. Soc. 33, No. 2, 671-676 (2018). Reviewer: Tien-Son Pham (Dalat) MSC: 14B05 14H20 11E25 14P10 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hui; Long, Yiming; Xiao, Yuming The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. (English) Zbl 1423.53053 Discrete Contin. Dyn. Syst. 38, No. 8, 3803-3829 (2018). Reviewer: Oana Constantinescu (Iaşi) MSC: 53C22 58E05 58E10 53C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grines, V. Z.; Gurevich, E.; Pochinka, O. V. Heteroclinic curves of gradient-like diffeomorphsms and the topology of ambient manifolds. (Russian. English summary) Zbl 1374.37039 Zh. Sredn. Mat. Obshch. 18, No. 2, 11-15 (2016). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D15 37G05 37D10 37C05 37C29 × Cite Format Result Cite Review PDF
Lopatkin, Viktor Cohomology rings of the plactic monoid algebra via a Gröbner-Shirshov basis. (English) Zbl 1355.16006 J. Algebra Appl. 15, No. 5, Article ID 1650082, 30 p. (2016). Reviewer: Chen Yuqun (Guangzhou) MSC: 16E40 16S15 13P10 20M05 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nelson, Jo Automatic transversality in contact homology. I: Regularity. (English) Zbl 1328.53107 Abh. Math. Semin. Univ. Hamb. 85, No. 2, 125-179 (2015). MSC: 53D35 53D42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shan, Yuan Homoclinic orbits for first order Hamiltonian systems with some twist conditions. (English) Zbl 1361.37062 Acta Math. Sin., Engl. Ser. 31, No. 11, 1725-1738 (2015). MSC: 37J45 58J20 58E05 47A75 15A63 × Cite Format Result Cite Review PDF Full Text: DOI
Mukherjee, Amiya Differential topology. (English) Zbl 1332.57002 Texts and Readings in Mathematics 72. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-78-6/pbk). xiii, 349 p. (2015). Reviewer: Július Korbaš (Bratislava) MSC: 57-01 58-01 57R22 57R35 57R65 57R80 58A05 58A10 58E05 53-01 53C20 × Cite Format Result Cite Review PDF
Portaluri, Alessandro; Waterstraat, Nils Yet another proof of the Morse index theorem. (English) Zbl 1388.58009 Expo. Math. 33, No. 3, 378-386 (2015). MSC: 58E10 53C22 58J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukherjee, Amiya Differential topology. 2nd ed. (English) Zbl 1332.57001 New Delhi: Hindustan Book Agency; Cham: Birkhäuser/Springer (ISBN 978-3-319-19044-0/hbk; 978-3-319-36938-9/pbk; 978-3-319-19045-7/ebook). xiii, 348 p. (2015). Reviewer: Andrew Bucki (Edmond) MSC: 57-01 53-01 57R12 58A05 57R22 58A10 58C35 57R17 × Cite Format Result Cite Review PDF Full Text: DOI
Guillemin, V.; Uribe, A.; Wang, Z. Canonical forms for perturbations of the harmonic oscillator. (English) Zbl 1315.37037 New York J. Math. 21, 163-180 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 37J40 35P20 14M25 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Moraga Ferrándiz, Carlos Elimination of extremal index zeroes from generic paths of closed 1-forms. (English) Zbl 1344.58002 Math. Z. 278, No. 3-4, 743-765 (2014); erratum ibid. 278, No. 3-4, 767 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 58A10 57R52 57R45 57R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lins Neto, A. Foliations with a Morse center. (English) Zbl 1333.37064 J. Singul. 9, 82-100 (2014). MSC: 37F75 34M15 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Maalaoui, Ali; Martino, Vittorio Homology computation for a class of contact structures on \(T^3\). (English) Zbl 1296.53153 Calc. Var. Partial Differ. Equ. 50, No. 3-4, 599-614 (2014). MSC: 53D10 58E30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portaluri, Alessandro; Waterstraat, Nils On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem. (English) Zbl 1310.35121 J. Math. Anal. Appl. 408, No. 2, 572-575 (2013). MSC: 35J61 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Fei; Tan, Zhong Nontrivial solutions for semilinear Dirichlet forms via Morse theory. (English) Zbl 1289.35004 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 404-412 (2013). MSC: 35A15 35H30 49J35 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Gidea, Marian; Robinson, Clark Diffusion along transition chains of invariant tori and Aubry-Mather sets. (English) Zbl 1333.37088 Ergodic Theory Dyn. Syst. 33, No. 5, 1401-1449 (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J40 37D10 37C50 37C29 37B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fomenko, A. T.; Mishchenko, A. S.; Solovyev, Yu. P. Selected problems in differential geometry and topology. Transl. from the Russian. (English) Zbl 1282.53001 Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-33-0/hbk). xiv, 354 p. (2013). Reviewer: Corina Mohorianu (Iaşi) MSC: 53-01 55-01 57-01 58-01 53A05 53B20 53B21 00A07 × Cite Format Result Cite Review PDF
Delshams, Amadeu; Gidea, Marian; Roldán, Pablo Transition map and shadowing lemma for normally hyperbolic invariant manifolds. (English) Zbl 1276.37043 Discrete Contin. Dyn. Syst. 33, No. 3, 1089-1112 (2013). Reviewer: Pau Martin de la Torre (Barcelona) MSC: 37J40 37C50 37C29 37B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. (English) Zbl 1275.58018 Ann. Henri Poincaré 14, No. 3, 567-610 (2013). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58J50 60J65 47B25 47A55 47A11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roussarie, Robert; Roux, Jean From differential equations to dynamical systems. Volume II. Towards the theory of dynamical systems. (Des équations différentielles aux systèmes dynamiques. Tome II. Vers la théorie des systèmes dynamiques.) (French) Zbl 1350.34001 Collection Enseignement SUP. Mathémathiques. Les Ulis: EDP Sciences (ISBN 978-2-7598-0654-6/pbk). ix, 318 p. (2012). Reviewer: Waldo Arriagada (Abu Dhabi) MSC: 34-01 34A34 34C05 34C23 34C40 34C41 34C45 34D30 37C10 37G05 37G10 × Cite Format Result Cite Review PDF
Laudenbach, François [Labourie, François] Transversality, currents and Morse theory. A course of differential topology. Exercises proposed by François Labourie. (Transversalité, courants et théorie de Morse. Un cours de topologie différentielle.) (French) Zbl 1280.57001 Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1585-5/pbk). x, 182 p. (2012). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57-01 57Rxx 58A25 53C20 × Cite Format Result Cite Review PDF
Budnyts’ka, N. V.; Rybalkina, T. V. Realization of a closed 1-form on closed oriented surfaces. (English. Russian original) Zbl 1264.57005 Ukr. Math. J. 64, No. 6, 844-856 (2012); translation from Ukr. Mat. Zh. 64, No. 6, 731-738 (2012). Reviewer: Marta Macho Stadler (Leioa) MSC: 57N05 58A10 37E35 57R30 37B30 × Cite Format Result Cite Review PDF Full Text: DOI
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve [Baker, Anthony W.] Hodge theory on metric spaces. Appendix by Anthony W. Baker. (English) Zbl 1366.58001 Found. Comput. Math. 12, No. 1, 1-48 (2012). MSC: 58A14 55P55 57M50 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelbukh, Irina On compact leaves of a Morse form foliation. (English) Zbl 1240.57011 Publ. Math. Debr. 78, No. 1, 37-48 (2011). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 57R30 58K65 × Cite Format Result Cite Review PDF Full Text: DOI
Jost, Jürgen Riemannian geometry and geometric analysis. 6th ed. (English) Zbl 1227.53001 Universitext. Berlin: Springer (ISBN 978-3-642-21297-0/pbk; 978-3-642-21298-7/ebook). xiii, 611 p. (2011). Reviewer: Miroslav Doupovec (Brno) MSC: 53-01 53B21 53C20 53C21 53C22 53C56 58-01 58E20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ming-Chia; Lyu, Ming-Jiea Positive topological entropy for multidimensional perturbations of topologically crossing homoclinicity. (English) Zbl 1221.37064 Discrete Contin. Dyn. Syst. 30, No. 1, 243-252 (2011). Reviewer: Gasanbek T. Arazov (Baku) MSC: 37D45 37B30 37B10 37B40 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Shastri, Anant R. [Farrell, F. Thomas] Elements of differential topology. With a foreword by F. Thomas Farrell. (English) Zbl 1222.57001 Boca Raton, FL: CRC Press (ISBN 978-1-4398-3160-1/hbk; 978-1-4398-3163-2/ebook). xii, 307 p. (2011). Reviewer: Werner Kleinert (Berlin) MSC: 57-01 57R10 57R25 57R30 57R40 57R52 57R65 22E15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tieqiang; Schütz, Dirk On the relative Lusternik-Schnirelmann category with respect to a real cohomology class. (English) Zbl 1210.55003 Glasg. Math. J. 53, No. 1, 169-183 (2011). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 37C29 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Bahri, A. \(M/v\). (English) Zbl 1232.53063 Ammari, Habib (ed.) et al., Recent developments in nonlinear analysis. Proceedings of the conference in mathematics and mathematical physics, Fez, Morocco, October 28–30, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-56-7/hbk; 978-981-4295-57-4/ebook). 1-16 (2010). Reviewer: Cihan Özgür (Balikesir) MSC: 53D10 57R17 57R18 × Cite Format Result Cite Review PDF
Nicolaescu, Liviu I. Tame flows. (English) Zbl 1217.37001 Mem. Am. Math. Soc. 980, v, 130 p. (2010). Reviewer: Roman Srzednicki (Kraków) MSC: 37-02 03C64 06F30 37B30 58A07 58A10 58A17 58A25 58A35 58E05 58K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuehn, Christian Connecting fast-slow systems and Conley index theory via transversality. (English) Zbl 1206.34078 Electron. J. Differ. Equ. 2010, Paper No. 106, 20 p. (2010). Reviewer: Julia Ehrt (Berlin) MSC: 34E15 37B30 34A26 70K70 34C20 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Dong, Yujun Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations. (English) Zbl 1195.47036 Calc. Var. Partial Differ. Equ. 38, No. 1-2, 75-109 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47H11 58E05 34B15 47A75 49J45 15A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruiz-León, J.; Orozco, J. L.; Begovich, O. A method to obtain the semi-canonical Morse’s form of a linear multivariable system. (English) Zbl 1185.93023 J. Franklin Inst. 347, No. 2, 483-501 (2010). MSC: 93B10 93C35 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Hutchings, Michael Taubes’s proof of the Weinstein conjecture in dimension three. (English) Zbl 1197.57023 Bull. Am. Math. Soc., New Ser. 47, No. 1, 73-125 (2010). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57R17 53D40 53D42 57-02 57N10 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budnyts’ka, N. V. Realization of closed 1-forms with closed recurrent curves on closed surfaces. (Ukrainian. English summary) Zbl 1199.57008 Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 2, 340-348 (2009). MSC: 57N05 58A10 58E05 57R70 × Cite Format Result Cite Review PDF
Gidea, Marian; Robinson, Clark Obstruction argument for transition chains of tori interspersed with gaps. (English) Zbl 1175.37063 Discrete Contin. Dyn. Syst., Ser. S 2, No. 2, 393-416 (2009). MSC: 37J40 37C50 37C29 37B30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lisei, Hannelore; Varga, Csaba Multiple solutions for nonlinear equations involving Dirichlet forms. (English) Zbl 1212.58009 Cobzaş, Ştefan (ed.), Topics in mathematics, computer science and philosophy. A Festschrift for Wolfgang W. Breckner on his 65th anniversary. Cluj-Napoca: Cluj University Press (ISBN 978-973-610-672-9). 135-145 (2008). MSC: 58E05 11F66 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ming-Chia; Lyu, Ming-Jiea; Zgliczyński, Piotr Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps. (English) Zbl 1153.37354 Nonlinearity 21, No. 11, 2555-2567 (2008). MSC: 37D45 54C70 37B30 37J40 37B10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dragnev, Dragomir L. Symplectic rigidity, symplectic fixed points, and global perturbations of Hamiltonian systems. (English) Zbl 1141.37022 Commun. Pure Appl. Math. 61, No. 3, 346-370 (2008). MSC: 37J05 53D40 37J10 37J40 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jost, Jürgen Riemannian geometry and geometric analysis. 5th ed. (English) Zbl 1143.53001 Universitext. Berlin: Springer (ISBN 978-3-540-77340-5/pbk). xiii, 583 p. (2008). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53-01 53C20 53C21 58E20 53C22 53C55 53B21 58-01 × Cite Format Result Cite Review PDF Full Text: DOI
Gidea, Marian; Robinson, Clark Shadowing orbits for transition chains of invariant tori alternating with Birkhoff zones of instability. (English) Zbl 1116.37041 Nonlinearity 20, No. 5, 1115-1143 (2007). MSC: 37J40 37C50 37C29 37B30 × Cite Format Result Cite Review PDF Full Text: DOI
Biroli, Marco; Mataloni, Silvia; Matzeu, Michele Stability results for mountain pass and linking type solutions of semilinear problems involving Dirichlet forms. (English) Zbl 1110.31007 NoDEA, Nonlinear Differ. Equ. Appl. 12, No. 3, 295-321 (2005). Reviewer: Thomas J. Bartsch (Gießen) MSC: 31C25 35B30 35B38 35J60 49J45 58E05 35B27 × Cite Format Result Cite Review PDF Full Text: DOI
Moser, Jürgen; Zehnder, Eduard J. Notes on dynamical systems. (English) Zbl 1087.37001 Courant Lecture Notes in Mathematics 12. Providence, RI: American Mathematical Society (AMS); New York, NY: Courant Institute of Mathematical Sciences (ISBN 0-8218-3577-7/pbk). vii, 256 p. (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37-01 37K10 37J40 53D05 58E05 58E30 70F15 70H05 × Cite Format Result Cite Review PDF
Ayala, Victor; Colonius, Fritz; Kliemann, Wolfgang Dynamical characterization of the Lyapunov form of matrices. (English) Zbl 1076.15013 Linear Algebra Appl. 402, 272-290 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A21 37B25 × Cite Format Result Cite Review PDF Full Text: DOI
Koltsova, Oksana; Lerman, Lev; Delshams, Amadeu; Gutiérrez, Pere Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium. (English) Zbl 1080.37068 Physica D 201, No. 3-4, 268-290 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J45 37J40 37J35 × Cite Format Result Cite Review PDF Full Text: DOI
Gidea, Marian; Zgliczyński, Piotr Covering relations for multidimensional dynamical systems. II. (English) Zbl 1096.37031 J. Differ. Equations 202, No. 1, 59-80 (2004). Reviewer: Jens Rademacher (Berlin) MSC: 37J40 37B30 37B40 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael Topology of closed one-forms. (English) Zbl 1052.58016 Mathematical Surveys and Monographs 108. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3531-9/pbk). xi, 246 p. (2004). Reviewer: D. Andrica (Cluj-Napoca) MSC: 58E05 58A10 57R70 57R30 58-02 57-02 × Cite Format Result Cite Review PDF
Guillemin, Victor; Pollack, Alan Differential topology. (Topología diferencial.) (Spanish) Zbl 1040.57001 Aportaciones Matematicas, Textos 20(Nivel Medio). México: Sociedad Matemática Mexicana (ISBN 970-32-0754-5/pbk). xiii, 294 p. (2003). Reviewer: Enrique Macias-Virgós (Santiago de Compostela) MSC: 57-01 × Cite Format Result Cite Review PDF
Cao, Yi On the generation of Morse lemma. (English) Zbl 1053.58019 J. Math. Res. Expo. 23, No. 3, 456-458 (2003). Reviewer: Alexandru Dimca (Nice) MSC: 58K50 58C25 32S05 14B05 × Cite Format Result Cite Review PDF
Samoilenko, A. M.; Prykarpatsky, A. K.; Samoylenko, V. Hr. The Lyapunov-Schmidt approach to studying homoclinics splitting in weakly perturbed Lagrangian and Hamiltonian systems. (English) Zbl 1026.37044 Ukr. Mat. Zh. 55, No. 1, 66-74 (2003). Reviewer: I.O.Parasyuk (Kyïv) MSC: 37G20 34C37 37J40 58E05 58E07 × Cite Format Result Cite Review PDF Full Text: DOI
Barden, Dennis; Thomas, Charles An introduction to differential manifolds. (English) Zbl 1039.53001 London: Imperial College Press (ISBN 1-86094-354-3/hbk; 1-86094-355-1/pbk). xi, 218 p. (2003). Reviewer: Hubert Gollek (Berlin) MSC: 53-01 53C20 58H05 58-01 × Cite Format Result Cite Review PDF
Forman, Robin Combinatorial Novikov-Morse theory. (English) Zbl 1052.57053 Int. J. Math. 13, No. 4, 333-368 (2002). Reviewer: Vasile Oproiu (Iaşi) MSC: 57R70 57Q05 57Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Robinson, Clark Symbolic dynamics for transition tori. (English) Zbl 1151.37323 Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15–19, 1999. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2902-5). Contemp. Math. 292, 199-208 (2002). MSC: 37J40 37B10 37B30 37C29 37J10 70H08 × Cite Format Result Cite Review PDF
Schütz, D. Controlled connectivity of closed \(1\)-forms. (English) Zbl 1002.57069 Algebr. Geom. Topol. 2, 171-217 (2002). Reviewer: M.Farber (Tel Aviv) MSC: 57R70 20J05 57R19 57N65 58A10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Jost, Jürgen Riemannian geometry and geometric analysis. 3rd ed. (English) Zbl 1034.53001 Universitext. Berlin: Springer (ISBN 3-540-42627-2/pbk). xiii, 532 p. EUR 32.05; sFr. 85.07; £ 33.00; $ 54.95 (2002). Reviewer: Serguey M. Pokas (Odessa) MSC: 53-01 53C20 53C21 58E20 53C22 53C55 53B21 58-01 × Cite Format Result Cite Review PDF
Feng, Huitao; Guo, Enli Novikov-type inequalities for vector fields with non-isolated zero points. (English) Zbl 1090.58013 Pac. J. Math. 201, No. 1, 107-120 (2001). Reviewer: Peter Haskell (Blacksburg) MSC: 58E05 57R70 58J10 58A10 58J20 19K56 × Cite Format Result Cite Review PDF Full Text: DOI
Kunze, Markus; Küpper, Tassilo Non-smooth dynamical systems: An overview. (English) Zbl 1002.37003 Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 431-452 (2001). Reviewer: R.Srzednicki (Kraków) MSC: 37-02 34-02 34A36 34A37 34A60 34D08 37J40 37J45 34C25 37D25 37B30 70F40 × Cite Format Result Cite Review PDF
Prishlyak, A. O. Gradient like Morse-Smale dynamical systems on 4-manifolds. (English) Zbl 0994.37031 Mat. Stud. 16, No. 1, 99-104 (2001). MSC: 37J40 57N13 × Cite Format Result Cite Review PDF Full Text: arXiv
Zhang, Weiping Lectures on Chern-Weil theory and Witten deformations. (English) Zbl 0993.58014 Nankai Tracts in Mathematics. 4. Singapore: World Scientific. xii, 117 p. (2001). Reviewer: Peter Haskell (Blacksburg) MSC: 58J10 58-01 58A10 57R20 53C12 × Cite Format Result Cite Review PDF
Farber, Michael Counting zeros of closed 1-forms. (English) Zbl 0984.58006 Turaev, V. (ed.) et al., Topology, ergodic theory, real algebraic geometry. Rokhlin’s memorial. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 202(50), 95-107 (2001). Reviewer: Antonio Masiello (Bari) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: arXiv
Squassina, M. Perturbed \(S^1\)-symmetric Hamiltonian systems. (English) Zbl 0978.37047 Appl. Math. Lett. 14, No. 3, 375-380 (2001). Reviewer: Dumitru Motreanu (Perpignan) MSC: 37J15 37J45 37J40 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael Topology of closed 1-forms and their critical points. (English) Zbl 0977.58011 Topology 40, No. 2, 235-258 (2001). Reviewer: D.Andrica (Cluj-Napoca) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delshams, A.; Gutiérrez, P. Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. (English) Zbl 1051.37031 J. Nonlinear Sci. 10, No. 4, 433-476 (2000). MSC: 37J40 37J45 58E05 70H08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kunze, Markus Non-smooth dynamical systems. (English) Zbl 0965.34026 Lecture Notes in Mathematics. 1744. Berlin: Springer. x, 225 p. (2000). Reviewer: Jan Andres (Olomouc) MSC: 34C15 34-02 37B30 70K40 37D25 37J40 70H05 × Cite Format Result Cite Review PDF
Chen, Chao-Nien; Tzeng, Shyuh-yaur Variational and penalization methods for studying connecting orbits of Hamiltonian systems. (English) Zbl 0951.37019 Electron. J. Differ. Equ. 2000, Paper No. 57, 21 p. (2000). MSC: 37J45 37J40 37D15 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Long, Yiming; Dong, Di Normal forms of symplectic matrices. (English) Zbl 0959.15008 Acta Math. Sin., Engl. Ser. 16, No. 2, 237-260 (2000). Reviewer: Nikolai I.Osetinski (Moskva) MSC: 15A21 15A18 37J05 37B30 37C25 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael Lusternik-Schnirelman theory for closed 1-forms. (English) Zbl 0956.58006 Comment. Math. Helv. 75, No. 1, 156-170 (2000). Reviewer: Youssef Jabri (Oujda) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bismut, Jean-Michel; Goette, Sebastian Analytic torsion forms in de Rham theory and Morse functions. (Formes de torsion analytique en théorie de de Rham et fonctions de Morse.) (French. Abridged English version) Zbl 0955.58026 C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 6, 479-484 (2000). Reviewer: A.V.Chernecky (Odessa) MSC: 58J52 58A12 32L05 × Cite Format Result Cite Review PDF Full Text: DOI
Matzeu, Michele Mountain pass and linking type solutions for semilinear Dirichlet forms. (English) Zbl 0943.31005 Appell, Jürgen (ed.), Recent trends in nonlinear analysis. Festschrift dedicated to Alfonso Vignoli on the occasion of his 60th birthday. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 40, 217-231 (2000). Reviewer: Marco Biroli (Monza) MSC: 31C25 35J60 58E05 35B38 × Cite Format Result Cite Review PDF
Farber, M. Morse-Novikov critical point theory, Cohn localization and Dirichlet units. (English) Zbl 0964.57030 Commun. Contemp. Math. 1, No. 4, 467-495 (1999). Reviewer: Aleksandr G.Aleksandrov (Moskva) MSC: 57R70 58E05 57Q10 53C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pallaschke, D.; Rolewicz, S. Sublinear functions which generate the group of normal forms of piecewise smooth Morse functions. (English) Zbl 0938.58036 Optimization 45, No. 1-4, 223-236 (1999). Reviewer: D.Andrica (Cluj-Napoca) MSC: 58K05 58K50 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael Unités de Dirichlet et points critiques de 1-formes fermées. (Dirichlet units and critical points of closed 1-forms.) (English. Abridged French version) Zbl 0942.58021 C. R. Acad. Sci., Paris, Sér. I, Math. 328, No. 8, 695-700 (1999). Reviewer: A.Masiello (Bari) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Honda, Ko A note on Morse theory of harmonic 1-forms. (English) Zbl 0959.58014 Topology 38, No. 1, 223-233 (1999). Reviewer: D.Andrica (Cluj-Napoca) MSC: 58E05 57R45 × Cite Format Result Cite Review PDF Full Text: DOI
Hofer, Helmut; Kriener, Markus Holomorphic curves in contact dynamics. (English) Zbl 0931.37026 Giaquinta, M. (ed.) et al., Differential equations: La Pietra 1996. Conference on differential equations marking the 70th birthdays of Peter Lax and Louis Nirenberg, Villa La Pietra, Florence, Italy, July 3–7, 1996. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 65, 77-131 (1999). MSC: 37K05 37J55 37C27 37B30 × Cite Format Result Cite Review PDF
Ilyashenko, Yu.; Li, Weigu Nonlocal bifurcations. (English) Zbl 1120.37308 Mathematical Surveys and Monographs 66. Providence, RI: American Mathematical Society (ISBN 0-8218-0497-9/hbk). xiii, 286 p. (1999). Reviewer: Todd Ray Young (MR1650842) MSC: 37Gxx 37-02 34C23 34C37 37D20 37D15 37C29 37C25 × Cite Format Result Cite Review PDF
Kudryavtseva, E. A. Generalization of geometric Poincaré theorem for small perturbations. (English) Zbl 0959.37047 Regul. Chaotic Dyn. 3, No. 2, 46-66 (1998). Reviewer: L.Lerman (Nizhny Novgorod) MSC: 37J40 37J45 58E05 × Cite Format Result Cite Review PDF