Marcel Guardia

Available identifiers

zbMath Open guardia.marcelWikidataQ77859650 ScholiaQ77859650MaRDI QIDQ246614

List of research outcomes

Publication	Date of Publication	Type
A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes	2024-03-04	Paper
Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem	2023-12-21	Paper
Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant	2023-12-20	Paper
A remark on the onset of resonance overlap	2023-11-14	Paper
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula	2023-08-28	Paper
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation	2023-05-09	Paper
Effective chaos for the Kirchhoff equation on tori	2023-03-01	Paper
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem	2023-02-14	Paper
Breakdown of heteroclinic connections in the analytic Hopf-zero singularity: rigorous computation of the Stokes constant	2023-01-16	Paper
Why are inner planets not inclined?	2022-10-20	Paper
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation	2022-09-15	Paper
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem	2022-07-28	Paper
Breakdown of heteroclinic connections in the analytic Hopf-Zero singularity: Rigorous computation of the Stokes constant	2022-06-28	Paper
Topological Shadowing Methods in Arnold Diffusion: Weak Torsion and Multiple Time Scales	2022-04-29	Paper
Sobolev norms explosion for the cubic NLS on irrational tori	2022-04-28	Paper
Arnold diffusion in Hamiltonian systems on infinite lattices	2022-04-22	Paper
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem	2022-03-23	Paper
Symbolic dynamics in the restricted elliptic isosceles three body problem	2021-08-06	Paper
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting	2021-07-30	Paper
Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs	2021-07-02	Paper
Chaotic-like transfers of energy in Hamiltonian PDEs	2021-06-07	Paper
Critical velocity in kink-defect interaction models: rigorous results	2020-05-14	Paper
A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation	2019-12-19	Paper
Asymptotic density of collision orbits in the restricted circular planar 3 body problem	2019-06-03	Paper
Random Iteration of Cylinder Maps and diffusive behavior away from resonances	2017-05-24	Paper
Erratum to: ``Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation	2017-03-13	Paper
Oscillatory orbits in the restricted elliptic planar three body problem	2017-01-09	Paper
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem	2016-11-22	Paper
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems	2016-10-21	Paper
Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\)	2016-08-30	Paper
Secular instability in the three-body problem	2016-05-31	Paper
Oscillatory motions for the restricted planar circular three body problem	2016-03-04	Paper
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation	2015-03-25	Paper
Orbits of nearly integrable systems accumulating to KAM tori	2014-12-22	Paper
Homoclinic Solutions to Infinity and Oscillatory Motions in the Restricted Planar Circular Three Body Problem	2014-08-08	Paper
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential	2014-07-01	Paper
Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom	2013-11-11	Paper
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results	2012-11-22	Paper
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation	2012-06-01	Paper
Generic bifurcations of low codimension of planar Filippov systems	2011-03-03	Paper
Exponentially small splitting for the pendulum: A classical problem revisited	2010-12-21	Paper
An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator	2010-07-26	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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This page was built for person: Marcel Guardia