Marcel Guardia

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Person:246614

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zbMath Open guardia.marcelWikidataQ77859650 ScholiaQ77859650MaRDI QIDQ246614

List of research outcomes

PublicationDate of PublicationType
A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes2024-03-04Paper
Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem2023-12-21Paper
Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant2023-12-20Paper
A remark on the onset of resonance overlap2023-11-14Paper
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula2023-08-28Paper
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation2023-05-09Paper
Effective chaos for the Kirchhoff equation on tori2023-03-01Paper
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem2023-02-14Paper
Breakdown of heteroclinic connections in the analytic Hopf-zero singularity: rigorous computation of the Stokes constant2023-01-16Paper
Why are inner planets not inclined?2022-10-20Paper
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation2022-09-15Paper
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem2022-07-28Paper
Breakdown of heteroclinic connections in the analytic Hopf-Zero singularity: Rigorous computation of the Stokes constant2022-06-28Paper
Topological Shadowing Methods in Arnold Diffusion: Weak Torsion and Multiple Time Scales2022-04-29Paper
Sobolev norms explosion for the cubic NLS on irrational tori2022-04-28Paper
Arnold diffusion in Hamiltonian systems on infinite lattices2022-04-22Paper
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem2022-03-23Paper
Symbolic dynamics in the restricted elliptic isosceles three body problem2021-08-06Paper
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting2021-07-30Paper
Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs2021-07-02Paper
Chaotic-like transfers of energy in Hamiltonian PDEs2021-06-07Paper
Critical velocity in kink-defect interaction models: rigorous results2020-05-14Paper
A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation2019-12-19Paper
Asymptotic density of collision orbits in the restricted circular planar 3 body problem2019-06-03Paper
Random Iteration of Cylinder Maps and diffusive behavior away from resonances2017-05-24Paper
Erratum to: ``Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation2017-03-13Paper
Oscillatory orbits in the restricted elliptic planar three body problem2017-01-09Paper
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem2016-11-22Paper
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems2016-10-21Paper
Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\)2016-08-30Paper
Secular instability in the three-body problem2016-05-31Paper
Oscillatory motions for the restricted planar circular three body problem2016-03-04Paper
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation2015-03-25Paper
Orbits of nearly integrable systems accumulating to KAM tori2014-12-22Paper
Homoclinic Solutions to Infinity and Oscillatory Motions in the Restricted Planar Circular Three Body Problem2014-08-08Paper
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential2014-07-01Paper
Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom2013-11-11Paper
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results2012-11-22Paper
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation2012-06-01Paper
Generic bifurcations of low codimension of planar Filippov systems2011-03-03Paper
Exponentially small splitting for the pendulum: A classical problem revisited2010-12-21Paper
An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator2010-07-26Paper

Research outcomes over time


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