Computer assisted proof of drift orbits along normally hyperbolic manifolds. II: Application to the restricted three body problem. (English) Zbl 1501.37061
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Found 40 Documents (Results 1–40)
Monotonicity of the period function and chaotic dynamics in a class of singular ODEs. (English) Zbl 1492.34039
Reviewer: Alberto Boscaggin (Collegno)
Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems. (English) Zbl 1493.37060
Approximated dynamics of chatter in turning processes. (English) Zbl 1496.74072
Lacarbonara, Walter (ed.) et al., Nonlinear dynamics of structures, systems and devices. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume I. Cham: Springer. 463-470 (2020).
Diffusion limit for a slow-fast standard map. (English) Zbl 1452.37017
Reviewer: Meirong Zhang (Beijing)
Moser’s quadratic, symplectic map. (English) Zbl 1416.37057
Reviewer: Cristian Lăzureanu (Timisoara)
Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse. (English) Zbl 1388.37067
Reviewer: Vladimir Răsvan (Craiova)
Diffusion and drift in volume-preserving maps. (English) Zbl 1384.37077
Reviewer: Mircea Crâşmăreanu (Iaşi)
Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with finitely many zones. (English) Zbl 1380.37106
Stability pockets of a periodically forced oscillator in a model for seasonality. (English) Zbl 1382.37019
Non-integrability of measure preserving maps via Lie symmetries. (English) Zbl 1355.37038
Reviewer: Eszter Gselmann (Debrecen)
The dynamics of a simplified pinball machine. (English) Zbl 1215.70009
Reviewer: Igor Andrianov (Köln)
Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity. (English) Zbl 1234.70005
Some properties of the global behaviour of conservative low-dimensional systems. (English) Zbl 1188.37019
Cucker, Felipe (ed.) et al., Foundations of computational mathematics, Hong Kong, China, 2008. Selected papers based on the presentations at the international conference of the Society for the Foundations of Computational Mathematics (FoCM), June 16–26, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-73970-2/pbk). London Mathematical Society Lecture Note Series 363, 162-189 (2009).
Reviewer: Alois Klíč (Praha)
Transversal homoclinic points of the Hénon map. (English) Zbl 1103.37012
Reviewer: Armengol Gasull (Barcelona)
Strange nonchaotic attrators. Dynamics between order and chaos in quasiperiodically forced systems. (English) Zbl 1101.37018
World Scientific Series on Nonlinear Science. Series A 56. Hackensack, NJ: World Scientific (ISBN 981-256-633-3/hbk). xi, 213 p. (2006).
Reviewer: Dimitar A. Kolev (Sofia)
Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem. (English) Zbl 1004.37026
Numerical construction of the Poincaré map, with application to accelerators. (English) Zbl 0957.65112
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, 649-653 (1999).
Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. (English) Zbl 0967.37030
Reviewer: Jens Rademacher (Berlin)
Slow periodic crossing of a pitchfork bifurcation in an oscillating system. (English) Zbl 0894.70015
Reviewer: P.Garbaczewski (Wrocław)
Mechanisms of generation of chaos in the solar system. (English) Zbl 0888.70012
Roy, Archie E. (ed.) et al., From Newton to chaos. Modern techniques for understanding and coping with chaos in \(n\)-body dynamical systems. Proceedings of a NATO Advanced Study Institute, Cortina D’Ampezzo, Italy, July 25-August 6, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 336, 79-96 (1995).
Reviewer: P.Garbaczewski (Wrocław)
Asymptotic motions and stability of the elastoplastic oscillator studied via maps. (English) Zbl 0799.73028
Box-counting algorithm and dimensional analysis of a pulsar. (English) Zbl 0755.58038
Reviewer: G.Keller (Erlangen)
Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: An extension of classical adiabatic theory. (English) Zbl 0736.58021
Reviewer: L.Maxim (Iaşi)
Canonical map approach to channeling stability in crystals. (English) Zbl 0585.70017
Reviewer: M.Farkas
Some perspectives in Hamiltonian systems. (English) Zbl 0582.70017
Trends and developments in the eighties, Bielefeld Encounters Math. Phys. 4 and 5, 405-424 (1985).
Reviewer: V.Ya.Krejnovich
Numerical exploration of Hamiltonian systems. (English) Zbl 0578.70019
Chaotic behaviour of deterministic systems, Les Houches/Fr. 1981, Sess. 36, 53-170 (1983).
Reviewer: V.Perlick
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