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Kruglikov, Boris (ed.) et al., Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Berlin: Springer (ISBN 978-3-642-00872-6/hbk; 978-3-642-00873-3/ebook). Abel Symposia 5, 199-221 (2009).

MSC: 37C15 34C20 53A55

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Peng, Guojun; Jiang, Yaolin

Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal. (English) Zbl 1220.34060

Phys. Lett., A 372, No. 22, 3963-3970 (2008).

MSC: 34C20 34D06 34D08 93D15 26A33 37D45

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Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko

Point configurations, Cremona transformations and the elliptic difference Painlevé equation. (English) Zbl 1137.39011

Delabaere, Éric (ed.) et al., Théories asymptotiques et équations de Painlevé. Paris: Société Mathématique de France (ISBN 978-2-85629-229-7/pbk). Séminaires et Congrès 14, 169-198 (2006).

MSC: 39A12 39A20 34M55 14E07 14H25 14N20

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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

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Newman, Ezra T.; Nurowski, Pawel

Projective connections associated with second-order ODEs. (English) Zbl 1045.53013

Classical Quantum Gravity 20, No. 11, 2325-2335 (2003).

Reviewer: Pelagia Koltsaki (Thessaloniki)

MSC: 53B10 58A15 34C20 34A05

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Aminova, A. V.

Projective transformations of pseudo-Riemannian manifolds. (English) Zbl 1043.53054

J. Math. Sci., New York 113, No. 3, 367-470 (2003).

Reviewer: Andrew Bucki (Oklahoma City)

MSC: 53C50 34A26 53B30 34C14 53B10

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Yumaguzhin, V. A.

Contact classification of linear ordinary differential equations. I. (English) Zbl 1006.34034

Acta Appl. Math. 72, No. 1-2, 155-181 (2002).

MSC: 34C20 34A30 34A26 53A55

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Wafo Soh, C.; Mahomed, F. M.

A generalization of the Abel-Forsyth formulas via group methods. (English) Zbl 0978.34006

Nonlinear Dyn. 23, No. 4, 377-389 (2000).

MSC: 34A25 34C14 34A30 34C20

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Umemura, Hiroshi

On the transformation group of the second Painlevé equation. (English) Zbl 0972.34073

Nagoya Math. J. 157, 15-46 (2000).

Reviewer: Shun Shimomura (Yokohama)

MSC: 34M55

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Olver, P. J.

Moving frames and joint differential invariants. (English) Zbl 1014.53013

Regul. Chaotic Dyn. 4, No. 4, 3-18 (1999).

MSC: 53A55 53A20 34A26 53C30

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Schlomiuk, Dana

On the global analysis of planar quadratic vector fields. (English) Zbl 0910.34044

Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1429-1437 (1997).

Reviewer: Huaiping Zhu (Montreal)

MSC: 34C23 34C05 34C20 37G99

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Ortíz-Bobadilla, Laura

Quadratic vector fields in \({\mathbb{C}}\mathbb{P}^2\) with two saddle-node type singularities at infinity. (English) Zbl 0988.37065

J. Dyn. Control Syst. 1, No. 3, 295-317 (1995).

Reviewer: Zofia Denkowska (Angers)

MSC: 37G15 32G34 34C05 34M40

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Romanovsky, Youry R.

On differential equations and Cartan’s projective connections. (English) Zbl 0957.34009

Pràstaro, A. (ed.) et al., Geometry in partial differential equations. Singapore: World Scientific. 329-344 (1994).

Reviewer: S.V.Duzhin (MR 96e:53022)

MSC: 34A26 58A15 34C20 53B10

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Hurtubise, J. C.; Kamran, N.

Differential invariants, double fibrations and Painlevé equations. (English) Zbl 0863.34033

Levi, Decio (ed.) et al., Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 278, 271-298 (1992).

Reviewer: A.Vondra (Brno)

MSC: 34C20 37C80 53B10

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Abraham-Shrauner, Barbara; Guo, Ann

Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations. (English) Zbl 0764.34003

J. Phys. A, Math. Gen. 25, No. 21, 5597-5608 (1992).

MSC: 34A25 34C20 35K57

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Huppert, Bertram

Angewandte lineare Algebra. (Applied linear algebra). (German) Zbl 0697.15002

Berlin etc.: Walter de Gruyter. viii, 646 S. DM 198.00 (1990).

Reviewer: N.D.Sengupta

MSC: 15-02 34A30 60G50 39A10 83A05 90B22 92D25 51A05

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Samojlenko, A. M.; Glavan, V. A.

Behavior of solutions of linear quasiperiodic systems near resonances. (English. Russian original) Zbl 0701.34052

Ukr. Math. J. 41, No. 1, 61-68 (1989); translation from Ukr. Mat. Zh. 41, No. 1, 68-75 (1989).

Reviewer: I.Vrkoć

MSC: 34C20 34A30 34C27

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Yoshida, Masaaki

Construction of a moduli space of Gauss hypergeometric differential equations. (English) Zbl 0468.34023

Funkc. Ekvacioj, Ser. Int. 24, 1-10 (1981).

MSC: 34C20 34A99

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Found 24 Documents (Results 1–24)

Stability of heteroclinic cycles: a new approach based on a replicator equation. (English) Zbl 1542.34045

Modified projective synchronization of fractional-order chaotic systems with different dimensions. (English) Zbl 1436.34056

Full-parameter discrete Painlevé systems from non-translational Cremona isometries. (English) Zbl 1411.34116

Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters. (English) Zbl 1349.93221

On the uniqueness of a cycle in an asymmetric three-dimensional model of a molecular repressilator. (Russian, English) Zbl 1340.34164

Cartan projective connection spaces and group-theoretic analysis of systems of second-order ordinary differential equations. (English. Russian original) Zbl 1225.34014

Point classification of second order ODEs: Tresse classification revisited and beyond. (English) Zbl 1180.37029

Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal. (English) Zbl 1220.34060

Point configurations, Cremona transformations and the elliptic difference Painlevé equation. (English) Zbl 1137.39011

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

Projective connections associated with second-order ODEs. (English) Zbl 1045.53013

Projective transformations of pseudo-Riemannian manifolds. (English) Zbl 1043.53054

Contact classification of linear ordinary differential equations. I. (English) Zbl 1006.34034

A generalization of the Abel-Forsyth formulas via group methods. (English) Zbl 0978.34006

On the transformation group of the second Painlevé equation. (English) Zbl 0972.34073

Moving frames and joint differential invariants. (English) Zbl 1014.53013

On the global analysis of planar quadratic vector fields. (English) Zbl 0910.34044

Quadratic vector fields in \({\mathbb{C}}\mathbb{P}^2\) with two saddle-node type singularities at infinity. (English) Zbl 0988.37065

On differential equations and Cartan’s projective connections. (English) Zbl 0957.34009

Differential invariants, double fibrations and Painlevé equations. (English) Zbl 0863.34033

Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations. (English) Zbl 0764.34003

Angewandte lineare Algebra. (Applied linear algebra). (German) Zbl 0697.15002

Behavior of solutions of linear quasiperiodic systems near resonances. (English. Russian original) Zbl 0701.34052

Construction of a moduli space of Gauss hypergeometric differential equations. (English) Zbl 0468.34023

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