Spicer, Calum; Svaldi, Roberto Local and global applications of the minimal model program for co-rank 1 foliations on threefolds. (English) Zbl 07608246 J. Eur. Math. Soc. (JEMS) 24, No. 11, 3969-4025 (2022). MSC: 14E30 37F75 32S65 PDF BibTeX XML Cite \textit{C. Spicer} and \textit{R. Svaldi}, J. Eur. Math. Soc. (JEMS) 24, No. 11, 3969--4025 (2022; Zbl 07608246) Full Text: DOI arXiv OpenURL
Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation. (English) Zbl 1498.70012 Adv. Math. 408 A, Article ID 108562, 64 p. (2022). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{I. Baldomá} et al., Adv. Math. 408 A, Article ID 108562, 64 p. (2022; Zbl 1498.70012) Full Text: DOI arXiv OpenURL
Alexandrakis, Nik On the existence and evaluation of Stokes phenomena in fluid mechanics. (English) Zbl 07584896 Asymptotic Anal. 129, No. 1, 113-139 (2022). MSC: 34E15 34B40 34C37 34E05 34M40 35C07 PDF BibTeX XML Cite \textit{N. Alexandrakis}, Asymptotic Anal. 129, No. 1, 113--139 (2022; Zbl 07584896) Full Text: DOI OpenURL
Neishtadt, Anatoly; Okunev, Alexey Phase change and order 2 averaging for one-frequency systems with separatrix crossing. (English) Zbl 07575856 Nonlinearity 35, No. 8, 4469-4516 (2022). Reviewer: Stefan Suhr (Bochum) MSC: 37J40 34C29 70K65 70K60 PDF BibTeX XML Cite \textit{A. Neishtadt} and \textit{A. Okunev}, Nonlinearity 35, No. 8, 4469--4516 (2022; Zbl 07575856) Full Text: DOI arXiv OpenURL
Bashkirtseva, Irina; Ryashko, Lev; Zaitseva, Svetlana Noise-induced variability of nonlinear dynamics in 3D model of enzyme kinetics. (English) Zbl 1453.92119 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105351, 9 p. (2020). MSC: 92C45 34C28 34F10 PDF BibTeX XML Cite \textit{I. Bashkirtseva} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105351, 9 p. (2020; Zbl 1453.92119) Full Text: DOI OpenURL
Burov, Alexander A.; Guerman, Anna D.; Nikonov, Vasily I. Asymptotic invariant surfaces for non-autonomous pendulum-type systems. (English) Zbl 1473.70036 Regul. Chaotic Dyn. 25, No. 1, 121-130 (2020). MSC: 70H33 70H07 70K40 70K55 PDF BibTeX XML Cite \textit{A. A. Burov} et al., Regul. Chaotic Dyn. 25, No. 1, 121--130 (2020; Zbl 1473.70036) Full Text: DOI OpenURL
Grines, Vyacheslav Z.; Kruglov, Evgeniy V.; Medvedev, Timur V.; Pochinka, Olga V. On embedding of arcs and circles in 3-manifolds and its application to dynamics of structurally stable 3-diffeomorhisms with two-dimensional expanding attractors. (English) Zbl 1437.37026 Topology Appl. 271, Article ID 106989, 10 p. (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37C20 37C05 37D15 37C70 37C75 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Topology Appl. 271, Article ID 106989, 10 p. (2020; Zbl 1437.37026) Full Text: DOI OpenURL
Slijepčević, Siniša Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion. (English) Zbl 1442.37077 Ergodic Theory Dyn. Syst. 40, No. 3, 799-864 (2020). Reviewer: Mario Jorge Dias Carneiro (Belo Horizonte) MSC: 37J51 37J40 37J20 37J25 37B40 37E40 PDF BibTeX XML Cite \textit{S. Slijepčević}, Ergodic Theory Dyn. Syst. 40, No. 3, 799--864 (2020; Zbl 1442.37077) Full Text: DOI arXiv OpenURL
Pereira, Jorge Vitório Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four. (English) Zbl 1434.53028 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3921-3929 (2019). Reviewer: Roberto Svaldi (Lausanne) MSC: 53C12 37F75 32D15 PDF BibTeX XML Cite \textit{J. V. Pereira}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3921--3929 (2019; Zbl 1434.53028) Full Text: DOI arXiv OpenURL
Fontich, E.; Simó, C.; Vieiro, A. Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. (English) Zbl 1409.37059 Nonlinearity 32, No. 4, 1440-1493 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 37J20 37J40 37J45 37C29 PDF BibTeX XML Cite \textit{E. Fontich} et al., Nonlinearity 32, No. 4, 1440--1493 (2019; Zbl 1409.37059) Full Text: DOI arXiv OpenURL
Kurek, Radosław; Lubowiecki, Paweł; Żołądek, Henryk The Hess-Appelrot system. III: Splitting of separatrices and chaos. (English) Zbl 1398.05116 Discrete Contin. Dyn. Syst. 38, No. 4, 1955-1981 (2018). MSC: 05C38 15A15 05A15 15A18 PDF BibTeX XML Cite \textit{R. Kurek} et al., Discrete Contin. Dyn. Syst. 38, No. 4, 1955--1981 (2018; Zbl 1398.05116) Full Text: DOI OpenURL
Scárdua, Bruno Simple dynamics and integrability for singularities of holomorphic foliations in dimension two. (English) Zbl 1356.37065 J. Singul. 14, 148-171 (2016). MSC: 37F75 57R30 32M25 32S65 PDF BibTeX XML Cite \textit{B. Scárdua}, J. Singul. 14, 148--171 (2016; Zbl 1356.37065) Full Text: DOI Link OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio. (English) Zbl 1352.37164 SIAM J. Appl. Dyn. Syst. 15, No. 2, 981-1024 (2016). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{A. Delshams} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 981--1024 (2016; Zbl 1352.37164) Full Text: DOI arXiv OpenURL
Rebelo, Julio C.; Reis, Helena 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\). (English. French summary) Zbl 1328.32004 J. Math. Pures Appl. (9) 105, No. 2, 248-264 (2016). MSC: 32M05 32M25 PDF BibTeX XML Cite \textit{J. C. Rebelo} and \textit{H. Reis}, J. Math. Pures Appl. (9) 105, No. 2, 248--264 (2016; Zbl 1328.32004) Full Text: DOI arXiv OpenURL
Algaba, Antonio; Checa, Isabel; García, Cristóbal; Reyes, Manuel Local phase portraits through the Newton diagram of a vector field. (English) Zbl 1330.34047 Acta Math. Sin., Engl. Ser. 31, No. 6, 1015-1034 (2015). Reviewer: Alexey O. Remizov (São Carlos) MSC: 34C05 34M35 34C20 PDF BibTeX XML Cite \textit{A. Algaba} et al., Acta Math. Sin., Engl. Ser. 31, No. 6, 1015--1034 (2015; Zbl 1330.34047) Full Text: DOI OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio. (English) Zbl 1343.37050 Regul. Chaotic Dyn. 19, No. 6, 663-680 (2014). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{A. Delshams} et al., Regul. Chaotic Dyn. 19, No. 6, 663--680 (2014; Zbl 1343.37050) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type. (English) Zbl 1300.37016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440011, 12 p. (2014). MSC: 37C29 37J45 37D10 37J40 PDF BibTeX XML Cite \textit{A. Delshams} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440011, 12 p. (2014; Zbl 1300.37016) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gutiérrez, Pere Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies. (English) Zbl 1333.37086 Electron. Res. Announc. Math. Sci. 21, 41-61 (2014). MSC: 37J40 37J45 70H08 PDF BibTeX XML Cite \textit{A. Delshams} et al., Electron. Res. Announc. Math. Sci. 21, 41--61 (2014; Zbl 1333.37086) Full Text: DOI arXiv OpenURL
Gaivão, José Pedro Analytic invariants for the \(1 : - 1\) resonance. (Invariants analytiques pour la résonance \(1 : - 1\).) (English. French summary) Zbl 1316.37032 Ann. Inst. Fourier 63, No. 4, 1367-1426 (2013). Reviewer: Xiang Zhang (Shanghai) MSC: 37J20 34M40 34M30 37F75 37C25 PDF BibTeX XML Cite \textit{J. P. Gaivão}, Ann. Inst. Fourier 63, No. 4, 1367--1426 (2013; Zbl 1316.37032) Full Text: DOI arXiv OpenURL
Grines, V. Z.; Pochinka, O. V. On the simple isotopy class of a source-sink diffeomorphism on the 3-sphere. (English. Russian original) Zbl 1360.37071 Math. Notes 94, No. 6, 862-875 (2013); translation from Mat. Zametki 94, No. 6, 828-845 (2013). Reviewer: David E. Hurtubise (Altoona) MSC: 37D15 37C29 PDF BibTeX XML Cite \textit{V. Z. Grines} and \textit{O. V. Pochinka}, Math. Notes 94, No. 6, 862--875 (2013; Zbl 1360.37071); translation from Mat. Zametki 94, No. 6, 828--845 (2013) Full Text: DOI OpenURL
Volokitin, E. P.; Cheresiz, V. M. Singular points and first integrals of holomorphic dynamical systems. (Russian. English summary) Zbl 1289.34256 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 2, 28-44 (2013). MSC: 34M35 PDF BibTeX XML Cite \textit{E. P. Volokitin} and \textit{V. M. Cheresiz}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 2, 28--44 (2013; Zbl 1289.34256) OpenURL
Guardia, Marcel Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom. (English) Zbl 1307.37033 Discrete Contin. Dyn. Syst. 33, No. 7, 2829-2859 (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J40 37J45 PDF BibTeX XML Cite \textit{M. Guardia}, Discrete Contin. Dyn. Syst. 33, No. 7, 2829--2859 (2013; Zbl 1307.37033) Full Text: DOI arXiv OpenURL
Baldomá, I.; Castejón, O.; Seara, T. M. Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity. (English) Zbl 1269.37025 J. Dyn. Differ. Equations 25, No. 2, 335-392 (2013). Reviewer: Maite Grau (Lleida) MSC: 37G20 34C37 34C23 PDF BibTeX XML Cite \textit{I. Baldomá} et al., J. Dyn. Differ. Equations 25, No. 2, 335--392 (2013; Zbl 1269.37025) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gutiérrez, Pere; Pacha, Juan R. Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation. (English) Zbl 1353.37112 Physica D 243, No. 1, 64-85 (2013). MSC: 37J05 37C29 70H20 PDF BibTeX XML Cite \textit{A. Delshams} et al., Physica D 243, No. 1, 64--85 (2013; Zbl 1353.37112) Full Text: DOI arXiv OpenURL
Baldomá, I.; Martín, P. The inner equation for generalized standard maps. (English) Zbl 1266.34076 SIAM J. Appl. Dyn. Syst. 11, No. 3, 1062-1097 (2012). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C37 37J10 37C29 34E10 PDF BibTeX XML Cite \textit{I. Baldomá} and \textit{P. Martín}, SIAM J. Appl. Dyn. Syst. 11, No. 3, 1062--1097 (2012; Zbl 1266.34076) Full Text: DOI arXiv OpenURL
Kanatnikov, A. N.; Krishchenko, A. P. Localization of compact invariant sets of continuous-time systems with disturbance. (English. Russian original) Zbl 1263.37035 Dokl. Math. 86, No. 2, 720-722 (2012); translation from Dokl. Akad. Nauk. 446, No. 1, 30-32 (2012). MSC: 37C10 37D10 34H05 PDF BibTeX XML Cite \textit{A. N. Kanatnikov} and \textit{A. P. Krishchenko}, Dokl. Math. 86, No. 2, 720--722 (2012; Zbl 1263.37035); translation from Dokl. Akad. Nauk. 446, No. 1, 30--32 (2012) Full Text: DOI OpenURL
Guardia, Marcel; Seara, Tere M. Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation. (English) Zbl 1248.34054 Nonlinearity 25, No. 5, 1367-1412 (2012). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C29 34E10 37J45 PDF BibTeX XML Cite \textit{M. Guardia} and \textit{T. M. Seara}, Nonlinearity 25, No. 5, 1367--1412 (2012; Zbl 1248.34054) Full Text: DOI arXiv OpenURL
Zhuzhoma, E. V.; Kuprina, L. A.; Medvedev, V. S. On the Morse-Smale diffeomorphisms with three fixed points. (Russian. English summary) Zbl 1299.37017 Zh. Sredn. Mat. Obshch. 13, No. 3, 40-46 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C05 37C29 PDF BibTeX XML Cite \textit{E. V. Zhuzhoma} et al., Zh. Sredn. Mat. Obshch. 13, No. 3, 40--46 (2011; Zbl 1299.37017) OpenURL
Martín, Pau; Sauzin, David; Seara, Tere M. Exponentially small splitting of separatrices in the perturbed McMillan map. (English) Zbl 1230.37070 Discrete Contin. Dyn. Syst. 31, No. 2, 301-372 (2011). MSC: 37J10 34C37 37C29 34E10 PDF BibTeX XML Cite \textit{P. Martín} et al., Discrete Contin. Dyn. Syst. 31, No. 2, 301--372 (2011; Zbl 1230.37070) Full Text: DOI OpenURL
Martín, Pau; Sauzin, David; Seara, Tere M. Resurgence of inner solutions for perturbations of the McMillan map. (English) Zbl 1230.37069 Discrete Contin. Dyn. Syst. 31, No. 1, 165-207 (2011). MSC: 37J10 34C37 34E10 PDF BibTeX XML Cite \textit{P. Martín} et al., Discrete Contin. Dyn. Syst. 31, No. 1, 165--207 (2011; Zbl 1230.37069) Full Text: DOI OpenURL
Zhuzhoma, E. V.; Medvedev, V. S. Gradient flows with wildly embedded closures of separatrices. (English. Russian original) Zbl 1225.37038 Proc. Steklov Inst. Math. 270, 132-140 (2010); translation from Trudy Mat. Inst. Steklova 270, 138-146 (2010). Reviewer: Tomas Persson (Lund) MSC: 37D15 37C27 54H20 PDF BibTeX XML Cite \textit{E. V. Zhuzhoma} and \textit{V. S. Medvedev}, Proc. Steklov Inst. Math. 270, 132--140 (2010; Zbl 1225.37038); translation from Trudy Mat. Inst. Steklova 270, 138--146 (2010) Full Text: DOI OpenURL
Grines, V. Z.; Gurevich, E. Ya.; Medvedev, V. S. Classification of Morse-Smale diffeomorphisms with one-dimensional set of unstable separatrices. (English. Russian original) Zbl 1226.37012 Proc. Steklov Inst. Math. 270, 57-79 (2010); translation from Trudy Mat. Inst. Steklova 270, 62-85 (2010). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D15 37C15 37C29 37C05 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 270, 57--79 (2010; Zbl 1226.37012); translation from Trudy Mat. Inst. Steklova 270, 62--85 (2010) Full Text: DOI OpenURL
Guardia, Marcel; Olivé, Carme; Seara, Tere M. Exponentially small splitting for the pendulum: A classical problem revisited. (English) Zbl 1219.34001 J. Nonlinear Sci. 20, No. 5, 595-685 (2010). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34-02 34C37 34E10 34C25 34C45 PDF BibTeX XML Cite \textit{M. Guardia} et al., J. Nonlinear Sci. 20, No. 5, 595--685 (2010; Zbl 1219.34001) Full Text: DOI OpenURL
Sellama, Hocine On the distance between separatrices for the discretized logistic differential equation. (English) Zbl 1205.39005 J. Difference Equ. Appl. 16, No. 9, 1057-1099 (2010). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 39A12 34A34 PDF BibTeX XML Cite \textit{H. Sellama}, J. Difference Equ. Appl. 16, No. 9, 1057--1099 (2010; Zbl 1205.39005) Full Text: DOI arXiv HAL OpenURL
Grines, V. Z.; Kuprina, L. A.; Pochinka, O. V.; Shishenkova, A. E. \(f\)-adapted filtration for Morse-Smale diffeomorphisms. (Russian. English summary) Zbl 1240.37034 Zh. Sredn. Mat. Obshch. 11, No. 2, 26-34 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D15 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Zh. Sredn. Mat. Obshch. 11, No. 2, 26--34 (2009; Zbl 1240.37034) OpenURL
Grines, V. Z.; Gurevich, E. Y.; Medvedev, V. C.; Shishenkova, A. E. On classification of Morse-Smale diffeomorpfism on \(3\)-manifolds with trivial embedded separatrices. (Russian. English summary) Zbl 1240.37018 Zh. Sredn. Mat. Obshch. 11, No. 1, 19-32 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C05 37C15 37D15 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Zh. Sredn. Mat. Obshch. 11, No. 1, 19--32 (2009; Zbl 1240.37018) OpenURL
Tanaka, Martin L.; Ross, Shane D. Separatrices and basins of stability from time series data: an application to biodynamics. (English) Zbl 1183.92009 Nonlinear Dyn. 58, No. 1-2, 1-21 (2009). MSC: 92C10 37M10 62M10 PDF BibTeX XML Cite \textit{M. L. Tanaka} and \textit{S. D. Ross}, Nonlinear Dyn. 58, No. 1--2, 1--21 (2009; Zbl 1183.92009) Full Text: DOI arXiv OpenURL
Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano Lagrangian coherent structures in the planar elliptic restricted three-body problem. (English) Zbl 1157.70004 Celest. Mech. Dyn. Astron. 103, No. 3, 227-249 (2009). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{E. S. Gawlik} et al., Celest. Mech. Dyn. Astron. 103, No. 3, 227--249 (2009; Zbl 1157.70004) Full Text: DOI OpenURL
Grines, V. Z.; Pochinka, O. V.; Shishenkova, A. E. Diffeomorphisms of 3-sphere with wild frame of separatrices. (Russian. English summary) Zbl 1164.37006 Tr. Sredn. Mat. Obshch. 10, No. 1, 132-137 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37C05 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Tr. Sredn. Mat. Obshch. 10, No. 1, 132--137 (2008; Zbl 1164.37006) OpenURL
Gelfreich, Vassili; Simó, Carles High-precision computations of divergent asymptotic series and homoclinic phenomena. (English) Zbl 1169.37013 Discrete Contin. Dyn. Syst., Ser. B 10, No. 2-3, 511-536 (2008). Reviewer: Milena Radnovic (Beograd) MSC: 37J45 65P10 37C29 37G20 PDF BibTeX XML Cite \textit{V. Gelfreich} and \textit{C. Simó}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 2--3, 511--536 (2008; Zbl 1169.37013) Full Text: DOI OpenURL
Rebaza, Jorge Smooth Schur factorizations in the continuation of separatrices. (English) Zbl 1110.65120 Linear Algebra Appl. 421, No. 1, 138-156 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 65P30 15A23 37G15 37M20 PDF BibTeX XML Cite \textit{J. Rebaza}, Linear Algebra Appl. 421, No. 1, 138--156 (2007; Zbl 1110.65120) Full Text: DOI OpenURL
Rudnev, M.; Ten, V. V. A model for separatrix splitting near multiple resonances. (English) Zbl 1133.70328 Regul. Chaotic Dyn. 11, No. 1, 83-102 (2006). MSC: 70H08 37J40 70H20 PDF BibTeX XML Cite \textit{M. Rudnev} and \textit{V. V. Ten}, Regul. Chaotic Dyn. 11, No. 1, 83--102 (2006; Zbl 1133.70328) Full Text: DOI arXiv OpenURL
Dovbysh, S. A. Splitting of separatrices, branching of solutions and nonintegrability in the problem on motion of a spherical pendulum with vibrating suspension point. (Russian, English) Zbl 1114.70330 Prikl. Mat. Mekh. 70, No. 1, 46-61 (2006); translation in J. Appl. Math. Mech. 70, No. 1, 42-55 (2006). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 70K44 70K50 PDF BibTeX XML Cite \textit{S. A. Dovbysh}, Prikl. Mat. Mekh. 70, No. 1, 46--61 (2006; Zbl 1114.70330); translation in J. Appl. Math. Mech. 70, No. 1, 42--55 (2006) OpenURL
Kovalev, A. M.; Gashenenko, I. N.; Kirichenko, V. V. On the chaotic motions and the splitting of separatrices of perturbed Hess motion. (Russian) Zbl 1487.70041 Mekh. Tverd. Tela 35, 19-30 (2005). MSC: 70E17 70K55 PDF BibTeX XML Cite \textit{A. M. Kovalev} et al., Mekh. Tverd. Tela 35, 19--30 (2005; Zbl 1487.70041) Full Text: Link OpenURL
Lazutkin, V. F. Splitting of separatrices for the Chirikov standard map. (English. Russian original) Zbl 1120.37039 J. Math. Sci., New York 128, No. 2, 2687-2705 (2005); translation from Zap. Nauchn. Semin. POMI 300, 25-55 (2003). MSC: 37J40 34C37 37J10 54H20 70H09 PDF BibTeX XML Cite \textit{V. F. Lazutkin}, J. Math. Sci., New York 128, No. 2, 2687--2705 (2005; Zbl 1120.37039); translation from Zap. Nauchn. Semin. POMI 300, 25--55 (2003) Full Text: DOI OpenURL
Degli Innocenti, Francesco Holomorphic dynamics near germs of singular curves. (English) Zbl 1084.37037 Math. Z. 251, No. 4, 943-958 (2005). Reviewer: Filippo Bracci (Roma) MSC: 37F10 32S65 PDF BibTeX XML Cite \textit{F. Degli Innocenti}, Math. Z. 251, No. 4, 943--958 (2005; Zbl 1084.37037) Full Text: DOI arXiv OpenURL
Ribón, Javier Families of diffeomorphisms without periodic curves. (English) Zbl 1094.37029 Mich. Math. J. 53, No. 2, 243-256 (2005). Reviewer: Filippo Bracci (Roma) MSC: 37F75 31A15 32S65 PDF BibTeX XML Cite \textit{J. Ribón}, Mich. Math. J. 53, No. 2, 243--256 (2005; Zbl 1094.37029) Full Text: DOI OpenURL
Olivé, C.; Sauzin, D.; Seara, T. M. Two exampels of resurgence. (English) Zbl 1087.34061 Costin, O. (ed.) et al., Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3419-3/pbk). Contemporary Mathematics 373, 355-371 (2005). Reviewer: J. Saurer (Regensburg) MSC: 34M37 PDF BibTeX XML Cite \textit{C. Olivé} et al., Contemp. Math. 373, 355--371 (2005; Zbl 1087.34061) OpenURL
Baldomá, Inmaculada; Fontich, Ernest Exponentially small splitting of separatrices in a weakly hyperbolic case. (English) Zbl 1122.37046 J. Differ. Equations 210, No. 1, 106-134 (2005). MSC: 37J40 34D35 37J30 37J35 70H07 PDF BibTeX XML Cite \textit{I. Baldomá} and \textit{E. Fontich}, J. Differ. Equations 210, No. 1, 106--134 (2005; Zbl 1122.37046) Full Text: DOI OpenURL
Khlystunova, N. V. On periodic Steklov solutions of the perturbed Euler-Poinsot problem. (Russian) Zbl 1485.70003 Mekh. Tverd. Tela 34, 27-36 (2004). MSC: 70E17 70K42 PDF BibTeX XML Cite \textit{N. V. Khlystunova}, Mekh. Tverd. Tela 34, 27--36 (2004; Zbl 1485.70003) Full Text: Link OpenURL
Fierro, Eduardo Invariant sets associated with singular holomorphic foliations in \(\mathbb C^2\). (Ensembles invariants associés aux feuilletages holomorphes singuliers dans \(\mathbb C^2\).) (French) Zbl 1076.32025 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 481-491 (2004). Reviewer: Filippo Bracci (Roma) MSC: 32S65 32A10 34C20 37F75 PDF BibTeX XML Cite \textit{E. Fierro}, Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 481--491 (2004; Zbl 1076.32025) OpenURL
Gurevich, E. Topological conjugacy conditions for Morse-Smale diffeomorphisms with one-dimensional set of unstable separatrices. (Russian) Zbl 1062.37018 Tr. Sredn. Mat. Obshch. 6, No. 1, 180-181 (2004). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 37D15 37C05 PDF BibTeX XML Cite \textit{E. Gurevich}, Tr. Sredn. Mat. Obshch. 6, No. 1, 180--181 (2004; Zbl 1062.37018) OpenURL
Grines, V. Z.; Pochinka, O. V. Limit set structure for separatrixes of Morse-Smale diffeomorphisms on 3-manifolds. (Russian) Zbl 1062.37016 Tr. Sredn. Mat. Obshch. 6, No. 1, 32-40 (2004). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 37D15 37C05 PDF BibTeX XML Cite \textit{V. Z. Grines} and \textit{O. V. Pochinka}, Tr. Sredn. Mat. Obshch. 6, No. 1, 32--40 (2004; Zbl 1062.37016) OpenURL
Afraimovich, Valentin S.; Rabinovich, Mikhail I.; Varona, Pablo Heteroclinic contours in neural ensembles and the winnerless competition principle. (English) Zbl 1099.37518 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1195-1208 (2004). MSC: 37N25 37C29 37M10 37M99 92C20 PDF BibTeX XML Cite \textit{V. S. Afraimovich} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1195--1208 (2004; Zbl 1099.37518) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gutiérrez, Pere; Seara, Tere M. Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds. (English) Zbl 1067.70016 Discrete Contin. Dyn. Syst. 11, No. 4, 785-826 (2004). Reviewer: Giuseppe Gaeta (Milano) MSC: 70H08 70H09 37N05 PDF BibTeX XML Cite \textit{A. Delshams} et al., Discrete Contin. Dyn. Syst. 11, No. 4, 785--826 (2004; Zbl 1067.70016) Full Text: DOI OpenURL
Pumariño, Antonio; Valls, Claudia On the double pendulum: An example of double resonant situations. (English) Zbl 1056.37079 Discrete Contin. Dyn. Syst. 11, No. 2-3, 413-448 (2004). MSC: 37J40 34C29 34C37 37G25 70K50 PDF BibTeX XML Cite \textit{A. Pumariño} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 11, No. 2--3, 413--448 (2004; Zbl 1056.37079) Full Text: DOI OpenURL
Olivé, Carme; Sauzin, David; Seara, Tere M. Resurgence in a Hamilton-Jacobi equation. (English) Zbl 1077.34086 Ann. Inst. Fourier 53, No. 4, 1185-1235 (2003). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M37 34M25 34M30 70H20 PDF BibTeX XML Cite \textit{C. Olivé} et al., Ann. Inst. Fourier 53, No. 4, 1185--1235 (2003; Zbl 1077.34086) Full Text: DOI Numdam EuDML Link OpenURL
Voyatzis, G.; Meletlidou, E.; Ichtiaroglou, S. Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems. (English) Zbl 1058.70020 Chaos Solitons Fractals 14, No. 8, 1179-1191 (2002). MSC: 70H09 70K55 70K44 PDF BibTeX XML Cite \textit{G. Voyatzis} et al., Chaos Solitons Fractals 14, No. 8, 1179--1191 (2002; Zbl 1058.70020) Full Text: DOI OpenURL
Azevedo Scárdua, B. C.; Canille Martins, J. C. On the growth of holomorphic projective foliations. (English) Zbl 1073.32016 Int. J. Math. 13, No. 7, 695-726 (2002). Reviewer: Alexey A. Glutsyuk (Lyon) MSC: 32S65 37F75 PDF BibTeX XML Cite \textit{B. C. Azevedo Scárdua} and \textit{J. C. Canille Martins}, Int. J. Math. 13, No. 7, 695--726 (2002; Zbl 1073.32016) Full Text: DOI OpenURL
Sugie, Jitsuro On the position of unbounded separatrices for van der Pol’s system. (English) Zbl 1017.34025 Dyn. Syst. Appl. 11, No. 1, 53-63 (2002). Reviewer: Maoan Han (Shanghai) MSC: 34C05 PDF BibTeX XML Cite \textit{J. Sugie}, Dyn. Syst. Appl. 11, No. 1, 53--63 (2002; Zbl 1017.34025) OpenURL
Berti, Massimiliano; Bolle, Philippe A functional analysis approach to Arnold diffusion. (English) Zbl 1087.37048 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 4, 395-450 (2002). Reviewer: Maria Saprykina (Toronto) MSC: 37J40 37J45 PDF BibTeX XML Cite \textit{M. Berti} and \textit{P. Bolle}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 4, 395--450 (2002; Zbl 1087.37048) Full Text: DOI Numdam EuDML OpenURL
Gelfreich, Vassili A century of separatrices splitting in Hamiltonian dynamical systems: Perturbation theory, exponential smallness. (English) Zbl 1026.37053 Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17-22, 2000. Boston, MA: International Press. 73-86 (2001). MSC: 37J40 37D45 37-02 70H08 70H09 PDF BibTeX XML Cite \textit{V. Gelfreich}, in: XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17--22, 2000. Boston, MA: International Press. 73--86 (2001; Zbl 1026.37053) OpenURL
Delshams, Amadeu; Fedorov, Yuri; Ramírez-Ros, Rafael Homoclinic billiard orbits inside symmetrically perturbed ellipsoids. (English) Zbl 1067.37079 Nonlinearity 14, No. 5, 1141-1195 (2001). MSC: 37J40 37J45 37J35 37N05 PDF BibTeX XML Cite \textit{A. Delshams} et al., Nonlinearity 14, No. 5, 1141--1195 (2001; Zbl 1067.37079) Full Text: DOI Link OpenURL
Berti, Massimiliano; Bolle, Philippe Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems. (English) Zbl 1009.37044 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 4, 235-243 (2000). Reviewer: William J.jun.Satzer (Minnesota) MSC: 37J40 37J45 37C29 PDF BibTeX XML Cite \textit{M. Berti} and \textit{P. Bolle}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 11, No. 4, 235--243 (2000; Zbl 1009.37044) Full Text: arXiv OpenURL
Hirsch, Morris W. Periodic orbits and homoclinic loops for surface homeomorphisms. (English) Zbl 0987.37031 Mich. Math. J. 47, No. 2, 395-406 (2000). Reviewer: Vassili Gelfreich (Berlin) MSC: 37E30 37C25 37D05 PDF BibTeX XML Cite \textit{M. W. Hirsch}, Mich. Math. J. 47, No. 2, 395--406 (2000; Zbl 0987.37031) Full Text: DOI arXiv OpenURL
Sauzin, David A new method for measuring the splitting of invariant manifolds. (English) Zbl 0974.37048 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 961-966 (2000). MSC: 37J45 37J40 37G20 PDF BibTeX XML Cite \textit{D. Sauzin}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 961--966 (2000; Zbl 0974.37048) OpenURL
Gelfreich, V. Exponentially small splitting of separatrices near bifurcations in area-preserving maps. (English) Zbl 0976.37032 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 947-951 (2000). MSC: 37J10 37J45 37E30 PDF BibTeX XML Cite \textit{V. Gelfreich}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 947--951 (2000; Zbl 0976.37032) OpenURL
Delshams, Amadeu; Ramírez-Ros, Rafael Singular separatrix splittings and the Poincaré-Melnikov method for area preserving maps. (English) Zbl 0976.37031 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 941-946 (2000). MSC: 37J10 37J45 37J40 37E30 PDF BibTeX XML Cite \textit{A. Delshams} and \textit{R. Ramírez-Ros}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 941--946 (2000; Zbl 0976.37031) OpenURL
López, Jorge L.; Muciño-Raymundo, Jesús On the problem of deciding whether a holomorphic vector field is complete. (English) Zbl 0947.34076 Ramírez de Arellano, E. (ed.) et al., Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 114, 171-195 (2000). Reviewer: Shun Shimomura (Yokohama) MSC: 34M45 PDF BibTeX XML Cite \textit{J. L. López} and \textit{J. Muciño-Raymundo}, in: Complex analysis and related topics. In part the proceedings of the international symposium, Cuernavaca, Mexico, November 1996. Basel: Birkhäuser. 171--195 (2000; Zbl 0947.34076) OpenURL
Delshams, Amadeu; Ramírez-Ros, Rafael Poincaré-Melnikov-Arnold method for twist maps. (English) Zbl 0958.37023 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 533-537 (1999). MSC: 37J10 37C29 37J20 PDF BibTeX XML Cite \textit{A. Delshams} and \textit{R. Ramírez-Ros}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 533--537 (1999; Zbl 0958.37023) OpenURL
Delshams, Amadeu; Jorba, Àngel; Seara, Tere M.; Gelfreich, Vassili Splitting of separatrices for (fast) quasiperiodic forcing. (English) Zbl 0961.37016 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 367-371 (1999). Reviewer: Ale Jan Homburg (Amsterdam) MSC: 37G25 37J40 70H09 PDF BibTeX XML Cite \textit{A. Delshams} et al., NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 367--371 (1999; Zbl 0961.37016) OpenURL
Dovbysh, Sergeĭ A. Transversal intersection of separatrices and branching of solutions as obstructions to the existence of an analytic integral in many-dimensional systems. I: Basic result: Separatrices of hyperbolic periodic points. (English) Zbl 0945.37014 Collect. Math. 50, No. 2, 119-197 (1999). Reviewer: S.A.Dovbysh (Moskva) MSC: 37J30 37J45 PDF BibTeX XML Cite \textit{S. A. Dovbysh}, Collect. Math. 50, No. 2, 119--197 (1999; Zbl 0945.37014) Full Text: EuDML OpenURL
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J. Examples of non-degenerate and degenerate cuspidal loops in planar systems. (English) Zbl 0930.34031 Dyn. Stab. Syst. 14, No. 2, 129-161 (1999). MSC: 34C37 37C29 34C23 PDF BibTeX XML Cite \textit{E. Freire} et al., Dyn. Stab. Syst. 14, No. 2, 129--161 (1999; Zbl 0930.34031) Full Text: DOI OpenURL
Kim, Gwang Il Elliptic Birkhoff’s billiards with \(C^2\)-generic global perturbations. (English) Zbl 0934.34036 Bull. Korean Math. Soc. 36, No. 1, 147-159 (1999). Reviewer: R.Ortega (Granada) MSC: 34C37 34C60 37C29 34E10 PDF BibTeX XML Cite \textit{G. I. Kim}, Bull. Korean Math. Soc. 36, No. 1, 147--159 (1999; Zbl 0934.34036) Full Text: DOI OpenURL
Treschev, D. Width of stochastic layers in near-integrable two-dimensional symplectic maps. (English) Zbl 1038.37049 Physica D 116, No. 1-2, 21-43 (1998). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J40 37D45 PDF BibTeX XML Cite \textit{D. Treschev}, Physica D 116, No. 1--2, 21--43 (1998; Zbl 1038.37049) Full Text: DOI OpenURL
Rudnev, Michael; Wiggins, Stephen Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems. (English) Zbl 0941.37021 Physica D 114, No. 1-2, 3-80 (1998). MSC: 37D45 37J45 37C55 34C37 70H05 PDF BibTeX XML Cite \textit{M. Rudnev} and \textit{S. Wiggins}, Physica D 114, No. 1--2, 3--80 (1998; Zbl 0941.37021) Full Text: DOI OpenURL
Vasiliev, A. A.; Itin, A. P.; Neishtadt, A. I. On dynamics of four globally phase-coupled oscillators with close frequencies. (English) Zbl 0918.58062 Regul. Chaotic Dyn. 3, No. 1, 9-18 (1998). MSC: 37J40 PDF BibTeX XML Cite \textit{A. A. Vasiliev} et al., Regul. Chaotic Dyn. 3, No. 1, 9--18 (1998; Zbl 0918.58062) OpenURL
Rouillé, Patrick On the polars of certain one-forms. (Sur les polaires de certaines \(1\)-formes.) (French) Zbl 0953.32021 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 6, 677-680 (1998). MSC: 32S65 PDF BibTeX XML Cite \textit{P. Rouillé}, C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 6, 677--680 (1998; Zbl 0953.32021) Full Text: DOI OpenURL
Delshams, A.; Ramírez-Ros, R. Exponentially small splitting of separatrices for perturbed integrable standard-like maps. (English) Zbl 0904.58050 J. Nonlinear Sci. 8, No. 3, 317-352 (1998). MSC: 37J40 34C37 33E05 34C11 34C20 PDF BibTeX XML Cite \textit{A. Delshams} and \textit{R. Ramírez-Ros}, J. Nonlinear Sci. 8, No. 3, 317--352 (1998; Zbl 0904.58050) Full Text: DOI Link OpenURL
Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn Viscous perturbations of vorticity-conserving flows and separatrix splitting. (English) Zbl 0913.76014 Nonlinearity 11, No. 1, 47-77 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 76B47 76D99 86A05 37J40 PDF BibTeX XML Cite \textit{S. Balasuriya} et al., Nonlinearity 11, No. 1, 47--77 (1998; Zbl 0913.76014) Full Text: DOI Link OpenURL
Bagrets, A. A.; Bagrets, D. A. Nonintegrability of two problems in vortex dynamics. (English) Zbl 0933.37025 Chaos 7, No. 3, 368-375 (1997). MSC: 37D45 37J30 70H05 76B47 PDF BibTeX XML Cite \textit{A. A. Bagrets} and \textit{D. A. Bagrets}, Chaos 7, No. 3, 368--375 (1997; Zbl 0933.37025) Full Text: DOI OpenURL
Titov, Vyacheslav S.; Priest, E. R. Visco-resistive magnetic reconnection due to steady inertialess flows. I: Exact analytical solutions. (English) Zbl 0897.76095 J. Fluid Mech. 348, 327-347 (1997). MSC: 76W05 PDF BibTeX XML Cite \textit{V. S. Titov} and \textit{E. R. Priest}, J. Fluid Mech. 348, 327--347 (1997; Zbl 0897.76095) Full Text: DOI OpenURL
Delshams, Amadeu; Ramírez-Ros, Rafael Melnikov potential for exact symplectic maps. (English) Zbl 0892.58030 Commun. Math. Phys. 190, No. 1, 213-245 (1997). MSC: 37J99 PDF BibTeX XML Cite \textit{A. Delshams} and \textit{R. Ramírez-Ros}, Commun. Math. Phys. 190, No. 1, 213--245 (1997; Zbl 0892.58030) Full Text: DOI Link OpenURL
Chazal, Frédéric On the algebraic foliations of Rolle. (Sur les feuilletages algébriques de Rolle.) (French) Zbl 0888.57026 Comment. Math. Helv. 72, No. 3, 411-425 (1997). Reviewer: C.Apreutesei (Iaşi) MSC: 57R30 37C85 14P05 PDF BibTeX XML Cite \textit{F. Chazal}, Comment. Math. Helv. 72, No. 3, 411--425 (1997; Zbl 0888.57026) Full Text: DOI OpenURL
Yanushanets, Yu. B. Splitting of separatrices for billiard dynamical sustems in plane convex domains of the form \(X^{2n}+Y^{2n}\leq 1, n\geq 2\). (English. Russian original) Zbl 0903.58027 St. Petersbg. Math. J. 9, No. 1, 157-175 (1998); translation from Algebra Anal. 9, No. 1, 213-237 (1997). Reviewer: E.Outerelo (Madrid) MSC: 37D99 37C25 PDF BibTeX XML Cite \textit{Yu. B. Yanushanets}, St. Petersbg. Math. J. 9, No. 1, 1 (1997; Zbl 0903.58027); translation from Algebra Anal. 9, No. 1, 213--237 (1997) OpenURL
Quinn, D. Dane Transition to escape in a system of coupled oscillators. (English) Zbl 0906.70016 Int. J. Non-Linear Mech. 32, No. 6, 1193-1206 (1997). Reviewer: Á.Bosznay (Budapest) MSC: 70K30 70H05 PDF BibTeX XML Cite \textit{D. D. Quinn}, Int. J. Non-Linear Mech. 32, No. 6, 1193--1206 (1997; Zbl 0906.70016) Full Text: DOI OpenURL
Rothe, F. A variant of Frobenius’ method for the Emden-Fowler equation. (English) Zbl 0886.34006 Appl. Anal. 66, No. 3-4, 227-245 (1997). Reviewer: F.Rothe (Charlotte) MSC: 34A25 34M99 34B15 PDF BibTeX XML Full Text: DOI OpenURL
Fruchard, Augustin An elementary solution to the problem of splitting separatrices. (Une résolution élémentaire d’un problème de scission de séparatrices.) (French) Zbl 0890.39006 Ann. Math. Blaise Pascal 4, No. 1, 37-47 (1997). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A10 37C70 PDF BibTeX XML Cite \textit{A. Fruchard}, Ann. Math. Blaise Pascal 4, No. 1, 37--47 (1997; Zbl 0890.39006) Full Text: DOI Numdam EuDML OpenURL
Weibel, S.; Kaper, T. J.; Baillieul, J. Global dynamics of a rapidly forced cart and pendulum. (English) Zbl 0897.70017 Nonlinear Dyn. 13, No. 2, 131-170 (1997). Reviewer: Á.Bosznay (Budapest) MSC: 70K40 37B99 PDF BibTeX XML Cite \textit{S. Weibel} et al., Nonlinear Dyn. 13, No. 2, 131--170 (1997; Zbl 0897.70017) Full Text: DOI OpenURL
Delshams, Amadeu; Gelfreich, Vassili; Jorba, Àngel; Seara, Tere M. Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing. (English) Zbl 0867.34035 Electron. Res. Announc. Am. Math. Soc. 3, 1-10 (1997). MSC: 34C37 37G05 11J25 37C55 PDF BibTeX XML Cite \textit{A. Delshams} et al., Electron. Res. Announc. Am. Math. Soc. 3, No. 1, 1--10 (1997; Zbl 0867.34035) Full Text: DOI EuDML OpenURL
Levallois, Philippe Calculation of a Melnikov function and its zeroes for an algebraic perturbation of an elliptic billiard. (Calcul d’une fonction de Melnikov et de ses zeros pour une perturbation algébrique du billard elliptique.) (French) Zbl 0893.58048 Ergodic Theory Dyn. Syst. 17, No. 2, 435-444 (1997). Reviewer: E.Ershov (St.Peterburg) MSC: 37J40 37A99 PDF BibTeX XML Cite \textit{P. Levallois}, Ergodic Theory Dyn. Syst. 17, No. 2, 435--444 (1997; Zbl 0893.58048) Full Text: DOI OpenURL
Neu, John C.; Preissig, R. Stephen jun.; Krassowska, Wanda Initiation of propagation in a one-dimensional excitable medium. (English) Zbl 0884.35061 Physica D 102, No. 3-4, 285-299 (1997). MSC: 35K57 92C20 35B05 PDF BibTeX XML Cite \textit{J. C. Neu} et al., Physica D 102, No. 3--4, 285--299 (1997; Zbl 0884.35061) Full Text: DOI OpenURL
Walter, Wolfgang Enclosure methods for capricious solutions of ordinary differential equations. (English) Zbl 0863.34003 Renegar, James (ed.) et al., The mathematics of numerical analysis. 1995 AMS-SIAM summer seminar in applied mathematics, July 17–August 11, 1995, Park City, UT, USA. Providence, RI: American Mathematical Society. Lect. Appl. Math. 32, 867-878 (1996). Reviewer: E.Hairer (Genève) MSC: 34A12 65L05 34B15 35J65 34E10 65J99 PDF BibTeX XML Cite \textit{W. Walter}, Lect. Appl. Math. 32, 867--878 (1996; Zbl 0863.34003) OpenURL
Fruchard, A.; Schäfke, R. Exponentially small splitting of separatrices for difference equations with small step size. (English) Zbl 0940.39001 J. Dyn. Control Syst. 2, No. 2, 193-238 (1996). MSC: 39A10 39A12 37J35 37J40 PDF BibTeX XML Cite \textit{A. Fruchard} and \textit{R. Schäfke}, J. Dyn. Control Syst. 2, No. 2, 193--238 (1996; Zbl 0940.39001) Full Text: DOI OpenURL
Tovbis, Alexander; Tsuchiya, Masa; Jaffé, Charles Chaos-integrability transition in nonlinear dynamical systems: Exponential asymptotics approach. (English) Zbl 0927.37018 Martelli, Mario (ed.) et al., Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Stavros Busenberg (1941–1993), Claremont, CA, USA, June 1–4, 1994. Singapore: World Scientific. 495-506 (1996). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 37G10 PDF BibTeX XML Cite \textit{A. Tovbis} et al., in: Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Starvros Busenberg (1941--1993), Claremont, CA, USA, June 1--4, 1994. Singapore: World Scientific. 495--506 (1996; Zbl 0927.37018) OpenURL
Nozdracheva, V. P. Estimates for periods of cycles generated by a singular cycle with two separatrices. (English. Russian original) Zbl 0865.34022 Differ. Equations 31, No. 10, 1736-1737 (1995); translation from Differ. Uravn. 31, No. 10, 1764-1765 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34C23 34E10 PDF BibTeX XML Cite \textit{V. P. Nozdracheva}, Differ. Equations 31, No. 10, 1 (1995; Zbl 0865.34022); translation from Differ. Uravn. 31, No. 10, 1764--1765 (1995) OpenURL
Pegoraro, F.; Kuvshinov, B. N.; Romanelli, M.; Schep, T. J. Scale-invariant plasma motions near \(X\)-points. (English) Zbl 0876.76090 Meneguzzi, Maurice (ed.) et al., Small-scale structures in three-dimensional hydrodynamic and magnetohydrodynamic turbulence. Proceedings of a workshop, Nice, France, 10-13 January, 1995. Berlin: Springer-Verlag. Lect. Notes Phys. 462, 295-300 (1995). Reviewer: I.Abonyi (Budapest) MSC: 76X05 PDF BibTeX XML Cite \textit{F. Pegoraro} et al., Lect. Notes Phys. 462, 295--300 (1995; Zbl 0876.76090) OpenURL
Scheurle, Jürgen Discretization of autonomous systems and rapid forcing. (English) Zbl 0834.34019 Dumas, H. S. (ed.) et al., Hamiltonian dynamical systems: history, theory, and applications. Proceedings of the international conference held at the University of Cincinnati, OH (USA), March 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 63, 329-340 (1995). MSC: 65J99 34C28 34C37 PDF BibTeX XML Cite \textit{J. Scheurle}, IMA Vol. Math. Appl. 63, 329--340 (1995; Zbl 0834.34019) OpenURL
Sugie, Jitsuro; Hara, Tadayuki Classification of global phase portraits of a system of Liénard type. (English) Zbl 0840.34020 J. Math. Anal. Appl. 193, No. 1, 264-281 (1995). Reviewer: C.Mira (Toulouse) MSC: 34C05 34C11 34C25 PDF BibTeX XML Cite \textit{J. Sugie} and \textit{T. Hara}, J. Math. Anal. Appl. 193, No. 1, 264--281 (1995; Zbl 0840.34020) Full Text: DOI OpenURL
Maciejewski, Andrzej J.; Goździewski, Krzysztof Solutions homoclinic to regular precessions of a symmetric satellite. (English) Zbl 0831.70017 Celest. Mech. Dyn. Astron. 61, No. 4, 347-368 (1995). MSC: 70M20 70F15 37J99 PDF BibTeX XML Cite \textit{A. J. Maciejewski} and \textit{K. Goździewski}, Celest. Mech. Dyn. Astron. 61, No. 4, 347--368 (1995; Zbl 0831.70017) Full Text: DOI OpenURL