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Found 108 Documents (Results 1–100)

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James, J. D. Mireles

Validated numerics for equilibria of analytic vector fields: invariant manifolds and connecting orbits. (English) Zbl 1409.65109

van den Berg, Jan Bouwe (ed.) et al., Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 74, 27-80 (2018).
Reviewer: Stathis Antoniou (Athína)
MSC:  65P30 34C45 34C37 65G20 37M25
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\textit{J. D. M. James}, Proc. Symp. Appl. Math. 74, 27--80 (2018; Zbl 1409.65109)
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Dankowicz, Harry; Schilder, Frank

Recipes for continuation. (English) Zbl 1277.65037

Computational Science & Engineering 11. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-56-6/pbk; 978-1-61197-257-3/ebook). xv, 584 p. (2013).
Reviewer: Boris V. Loginov (Ul’yanovsk)
MSC:  65H20 65-02 65Y20 68N30 34B15 65L10 65P30 37G15
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\textit{H. Dankowicz} and \textit{F. Schilder}, Recipes for continuation. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1277.65037)
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Cheng, Chong-Qing

Variational methods for the problem of Arnold diffusion. (English) Zbl 1144.37024

Craig, Walter (ed.), Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer (ISBN 978-1-4020-6963-5/pbk; 978-1-4020-6962-8/hbk). NATO Science for Peace and Security Series B: Physics and Biophysics, 337-365 (2008).
Reviewer: William J. Satzer jun. (St. Paul)
MSC:  37J40 37J45 37J50
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\textit{C.-Q. Cheng}, in: Hamiltonian dynamical systems and applications. Proceedings of the NATO Advanced Study Institute on Hamiltonian dynamical systems and applications, Montreal, Canada, June, 18-29, 2007. Berlin: Springer. 337--365 (2008; Zbl 1144.37024)
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Doedel, Eusebius J.

Lecture notes on numerical analysis of nonlinear equations. (English) Zbl 1130.65119

Krauskopf, Bernd (ed.) et al., Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer (ISBN 978-1-4020-6355-8/hbk). Understanding Complex Systems, 1-49 (2007).
Reviewer: Mihai Turinici (Iaşi)
MSC:  65P30 65J15 37G15 37M20
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\textit{E. J. Doedel}, in: Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer. 1--49 (2007; Zbl 1130.65119)
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Crovisier, Sylvain

Perturbation of \(C^1\)-diffeomorphisms and generic conservative dynamics on surfaces. (English. French summary) Zbl 1161.37023

Dynamique des difféomorphismes conservatifs des surfaces. Un point de vue topologique. Paris: Société Mathématique de France (ISBN 978-2-85629-220-4/pbk). Panoramas et Synthèses 21, 1-33 (2006).
Reviewer: Ľubomír Snoha (Banská Bystrica)
MSC:  37C05 37B20 37C20 37C29 37C50 37E30
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\textit{S. Crovisier}, Panor. Synth. 21, 1--33 (2006; Zbl 1161.37023)
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Day, Sarah; Junge, Oliver; Mischaikow, Konstantin

Towards automated chaos verification. (English) Zbl 1102.37027

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 157-162 (2005).
MSC:  37E05 37C25 37D45 37B10
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\textit{S. Day} et al., in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 157--162 (2005; Zbl 1102.37027)
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Grasset-Simon, Carine; Damiand, Guillaume; Lienhardt, Pascal

Receptive fields for generalized map pyramids: The notion of generalized orbit. (English) Zbl 1118.68730

Andres, Eric (ed.) et al., Discrete geometry for computer imagery. 12th international conference, DGCI 2005, Poitiers, France, April 13–15, 2005. Proceedings. Berlin: Springer (ISBN 3-540-25513-3/pbk). Lecture Notes in Computer Science 3429, 56-67 (2005).
MSC:  68U10 68P05
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\textit{C. Grasset-Simon} et al., Lect. Notes Comput. Sci. 3429, 56--67 (2005; Zbl 1118.68730)
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Grines, V. Z.; Zhuzhoma, E. V.

Structurally stable diffeomorphisms with basis sets of codimension one. (English. Russian original) Zbl 1017.37010

Izv. Math. 66, No. 2, 223-284 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 2, 3-66 (2002).
Reviewer: Yuri V.Rogovchenko (Famagusta)
MSC:  37C15 37C70 37C20 37D20 37C27
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\textit{V. Z. Grines} and \textit{E. V. Zhuzhoma}, Izv. Math. 66, No. 2, 223--284 (2002; Zbl 1017.37010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 2, 3--66 (2002)
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Beyn, Wolf-Jürgen; Kleß, Winfried; Thümmler, Vera

Continuation of low-dimensional invariant subspaces in dynamical systems of large dimension. (English) Zbl 0999.65148

Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 47-72 (2001).
MSC:  65P40 65F05 65F50 37L15 37M20
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\textit{W.-J. Beyn} et al., in: Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 47--72 (2001; Zbl 0999.65148)
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Hale, Jack K.

Attractors and dynamics in partial differential equations. (English) Zbl 1004.37062

Robinson, James C. (ed.) et al., From finite to infinite dimensional dynamical systems. Proceedings of the NATO advanced study institute, Cambridge, UK, August 21-September 1, 1995. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 19, 85-112 (2001).
MSC:  37L30 35B41 35K57 35L99
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\textit{J. K. Hale}, NATO Sci. Ser. II, Math. Phys. Chem. 19, 85--112 (2001; Zbl 1004.37062)
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Doedel, Eusebius

Nonlinear numerics. (English) Zbl 0959.37057

Huertas, Jose L. (ed.) et al., Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Singapore: World Scientific. World Sci. Ser. Nonlinear Sci., Ser. A. 26, 373-405 (1999).
Reviewer: V.P.Kostov (Nice)
MSC:  37M20 65P30
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\textit{E. Doedel}, in: Visions of nonlinear science in the 21st century. Festschrift dedicated to Leon O. Chua on the occasion of his 60th birthday. Lectures presented at the workshop, Sevilla, Spain, June 26, 1996. Singapore: World Scientific. 373--405 (1999; Zbl 0959.37057)
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Rabinowitz, Paul H.

Some recent results on heteroclinic and other connecting orbits of Hamiltonian systems. (English) Zbl 0789.58040

Girardi, M. (ed.) et al., Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 243, 157-168 (1992).
Reviewer: W.J.Satzer jun.(St.Paul)
MSC:  37J99 58E05 34C37
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\textit{P. H. Rabinowitz}, in: Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific \& Technical; New York: Wiley. 157--168 (1992; Zbl 0789.58040)
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