An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum
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Publication:5251822
DOI10.1063/1.3398483zbMath1311.70024arXiv0711.3654OpenAlexW2136469368MaRDI QIDQ5251822
Publication date: 21 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.3654
Hamilton's equations (70H05) Holonomic systems related to the dynamics of a system of particles (70F20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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- A functional analysis approach to Arnold diffusion
- Splitting of separatrices for the Chirikov standard map
- Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
- An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
- Separatrix splitting from the point of view of symplectic geometry
- Separatrix splitting for systems with three time scales
- A proof of the exponentially small transversality of the separatrices for the standard map
- KAM theorem and quantum field theory
- Twistless KAM tori
- Exponentially small splitting of separatrices under fast quasiperiodic forcing
- Erratum to ``Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems
- Fast Arnold diffusion in systems with three time scales
- Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds
- Sharp upper bounds for splitting of separatrices near a simple resonance
- Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems
- Transcendentally small transversality in the rapidly forced pendulum
- Convergent series expansions for quasi-periodic motions
- On the conservation of hyperbolic invariant tori for Hamiltonian systems
- SPLITTING AND MELNIKOV POTENTIALS IN HAMILTONIAN SYSTEMS
- A new method for measuring the splitting of invariant manifolds
- CONSTRUCTION OF WHISKERS FOR THE QUASIPERIODICALLY FORCED PENDULUM
- The KAM theorem and renormalization group
- Biasymptotic solutions of perturbed integrable Hamiltonian systems
- TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
- Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing
- MEL'NIKOV'S APPROXIMATION DOMINANCE: SOME EXAMPLES
- On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
- A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems
- Whiskered tori with prefixed frequencies and Lyapunov spectrum
- Exponentially Small Splitting and Arnold Diffusion for Multiple Time Scale Systems
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- A RENORMALIZATION PROOF OF THE KAM THEOREM FOR NON-ANALYTIC PERTURBATIONS
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