Found 69 Documents (Results 1–69)
A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori. (English) Zbl 07873282
A Nekhoroshev type theorem for nonlinear Schrödinger equation on the \(d\)-dimensional torus. (English) Zbl 07898654
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori. (English) Zbl 1487.35263
A Nekhoroshev type theorem for the nonlinear wave equation. (English) Zbl 1444.37058
Reviewer: Vladimir Răsvan (Craiova)
Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems. (English) Zbl 1443.37047
Reviewer: Xiang Zhang (Shanghai)
A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential. (English) Zbl 1410.35154
Reviewer: Alessandro Selvitella (Ottawa)
Diffusion and drift in volume-preserving maps. (English) Zbl 1384.37077
Reviewer: Mircea Crâşmăreanu (Iaşi)
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. (English) Zbl 1369.70036
Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. (English) Zbl 1372.70040
Continuous averaging proof of the Nekhoroshev theorem. (English) Zbl 1321.37059
Reviewer: Xiang Zhang (Shanghai)
Normal form and Nekhoroshev stability for nearly integrable Hamiltonian systems with unconditionally slow aperiodic time dependence. (English) Zbl 1309.70026
The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). (English) Zbl 1326.37040
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 25, No. 3, 293-299 (2014).
A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus. (English) Zbl 1284.35067
The speed of Arnold diffusion. (English) Zbl 1278.37048
Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians. (English) Zbl 1253.37057
Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians. (English) Zbl 1206.37029
Reviewer: Igor Andrianov (Köln)
MSC:
37J40
A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. (English) Zbl 1291.70062
A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. (English) Zbl 1228.37042
Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. (English) Zbl 1165.70022
Application of the Nekhoroshev theorem to the real dynamical system. (English) Zbl 1265.70002
Reviewer: Božidar Jovanović (Beograd)
Ergodic properties of the log-Weibull map with an infinite measure. (English) Zbl 1167.37306
Robnik, Marko (ed.) et al., Let’s face chaos through nonlinear dynamics. Proceedings of the 7th international summer school and conference, Maribor, Slovenia, June 29–July 13, 2008. Dedicated to the 65th birthday of Prof. Giulio Casati. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0607-0/pbk). AIP Conference Proceedings 1076, 219-222 (2008).
Canonical perturbation theory for nearly integrable systems. Introduction to the canonical perturbation theory for nearly integrable systems. (English) Zbl 1142.70009
Steves, B. A. (ed.) et al., Chaotic worlds: from order to disorder in gravitational N-body dynamical systems. Proceedings of the NATO Advanced Study Institute on chaotic worlds: from order to disorder in gravitational N-body dynamical systems, Cortina, Italy, 8–20 September 2003. Dordrecht: Springer (ISBN 978-1-4020-4705-3/pbk). NATO Science Series II: Mathematics, Physics and Chemistry 227, 1-41 (2006).
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. (English) Zbl 1185.37141
Exponentially long time stability near an equilibrium point for non-linearizable analytic vector fields. (English) Zbl 1072.37037
Exponential stability for the resonant D’Alembert model of celestial mechanics. (English) Zbl 1067.70011
Exponential stability of Hamiltonian systems. (English) Zbl 1081.37033
Dynamical systems. Part I. Hamiltonian systems and celestial mechanics. Selected papers from the Research Trimester held in Pisa, Italy, February 4–April 26, 2002. Pisa: Scuola Normale Superiore. Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi. Proceedings, 87-198 (2003).
Reviewer: Messoud A. Efendiev (Berlin)
Long-term stability analysis of quasi-integrable degenerate systems through the spectral formulation of the Nekhoroshev theorem. (English) Zbl 1030.70009
Reviewer: Simos Ichtiaroglou (Thessaloniki)
A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. (English) Zbl 0990.37045
Reviewer: Messoud Efendiev (Berlin)
Chaotic behavior in the solar system (following J. Laskar). (English) Zbl 0976.70009
Séminaire Bourbaki. Volume 1998/99. Exposés 850-864. Paris: Société Mathématique de France, Astérisque. 266, 113-136, Exp. No. 854 (2000).
Reviewer: Piotr Garbaczewski (Zielona Gora)
Bounds on diffusion in phase space: Connection between Nekhoroshev and KAM theorems and superexponential stability of invariant tori. (English) Zbl 0958.37037
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, 514-517 (1999).
MSC:
37J40
37J45
Remarks on the \(N\)-body problem in celestial mechanics. (English) Zbl 0943.70009
Bainov, D. (ed.), Proceedings of the 9th international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1998. Utrecht: VSP. 361-368 (1999).
Reviewer: Emil Minchev (Sofia)
Quantum Nekhoroshev theorem for quasi-periodic Floquet Hamiltonians. (English) Zbl 0927.34070
Reviewer: T.Aktosun (Fargo)
On the stability of elliptic equilibria. (English) Zbl 0891.58021
MSC:
37C75
Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. II: Gyroscopic rotations. (English) Zbl 0920.70009
Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. (English) Zbl 0895.35095
Reviewer: L.Vazquez (Madrid)
Construction of a Nekhoroshev like result for the asteroid belt dynamical system. (English) Zbl 0883.58032
Effective stability and KAM theory. (English) Zbl 0858.58012
Reviewer: W.J.Satzer jun.(St.Paul)
An application fo the Nekhoroshev theorem to the restricted three-body problem. (English) Zbl 0967.70503
Reviewer: S.G.Zhuravlev (Moskva)
Methods of complex analysis in classical perturbation theory. (English) Zbl 0873.70011
Benest, Daniel (ed.) et al., Chaos and diffusion in Hamiltonian systems. Proceedings of the 4th workshop in astronomy and astrophysics, Chamonix, France, February 7–12, 1994. Gif-sur-Yvette: Editions Frontières. 139-171 (1995).
Energy equipartition and Nekhoroshev-type estimates for large systems. (English) Zbl 0833.65066
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, 147-161 (1995).
Hamiltonian perturbation theory on a manifold. (English) Zbl 0840.58039
Reviewer: G.V.Khmelevskaja-Plotnikova (Namur)
Stability over exponentially long times in the planetary problem. (English) Zbl 0882.70013
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, 109-118 (1995).
Quantative methods in classical perturbation theory. (English) Zbl 0882.34057
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, 21-37 (1995).
Reviewer: B.A.Malomed (Tel Aviv)
A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. (English) Zbl 0805.35130
The dynamical foundations of classical statistical mechanics and the Boltzmann-Jeans conjecture. (English) Zbl 0796.70003
Kuksin, S. (ed.) et al., Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 12, 3-14 (1994).
Reviewer: I.Bena (Iaşi)
An introduction to Hamiltonian dynamical systems and practical perturbation methods: New insight by successive elimination of perturbation harmonics. (English) Zbl 0779.70010
Quantitative perturbation theory by successive elimination of harmonics. (English) Zbl 0772.58049
Reviewer: Yu.N.Bibikov (St.Peterburg)
Théorème de Nekhoroshev à singularités. (The Nekhoroshev singularity theorem). (French) Zbl 0738.53022
Birkhoff expansions in Hamiltonian mechanics: A simplification of the combinatorics. (English) Zbl 0745.58022
Nonlinear dynamics, Proc. Conf., Bologna/Italy 1988, 276-286 (1989).
Reviewer: W.M.Oliva (São Paulo)
A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom. (English) Zbl 0741.58014
Nonlinear dynamics, Proc. Conf., Bologna/Italy 1988, 248-249 (1989).
MSC:
37J99
Effective stability in Hamiltonian systems in the light of Nekhoroshev’s theorem. (English) Zbl 0699.70022
Integrable systems and applications, Proc. Workshop, Oléron/Fr. 1988, Lect. Notes Phys. 342, 142-153 (1989).
Relaxation times and the foundations of classical statistical mechanics in the light of modern perturbation theory. (English) Zbl 0707.58049
Nonlinear evolution and chaotic phenomena, Proc. NATO ASI, Noto/Italy 1987, NATO ASI Ser., Ser. B 176, 147-159 (1988).
Nekhoroshev-like results for Hamiltonian dynamical systems. (English) Zbl 0706.70027
Nonlinear evolution and chaotic phenomena, Proc. NATO ASI, Noto/Italy 1987, NATO ASI Ser., Ser. B 176, 121-146 (1988).
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