[1]
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Primitivo B. Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz, and
Chara Pantazi.
Differential Galois theory and non-integrability of planar
polynomial vector fields.
J. Differential Equations, 264(12):7183--7212, 2018.
[ DOI ]
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[2]
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I. Baldomá, O. Castejón, and T. M. Seara.
Breakdown of a 2D heteroclinic connection in the Hopf-zero
singularity (I).
J. Nonlinear Sci., 28(5):1551--1627, 2018.
[ DOI ]
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[3]
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I. Baldomá, O. Castejón, and T. M. Seara.
Breakdown of a 2D heteroclinic connection in the Hopf-zero
singularity (II): the generic case.
J. Nonlinear Sci., 28(4):1489--1549, 2018.
[ DOI ]
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[4]
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Carles Bonet-Reves, Juliana Larrosa, and Tere M-Seara.
Regularization around a generic codimension one fold-fold
singularity.
J. Differential Equations, 265(5):1761--1838, 2018.
[ DOI ]
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[5]
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Lev Buhovsky and Vadim Kaloshin.
Nonisometric domains with the same Marvizi-Melrose invariants.
Regul. Chaotic Dyn., 23(1):54--59, 2018.
[ DOI ]
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[6]
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Xavier Cabré, Amadeu Delshams, Marian Gidea, and Chongchun Zeng.
Preface of LlaveFest: A Broad Perspective on Finite and
Infinite Dimensional Dynamical Systems.
Discrete Contin. Dyn. Syst., 38(12):i--iii, 2018.
Held at the University of Barcelona, June 12--16, 2017.
[ DOI ]
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[7]
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J. Chen, G. Gómez, J.J. Masdemont, and J. Yuan.
High accuracy state and parameter estimation of GEO-stationary
satellites using Jet Transport based nonlinear filtering algorithm.
In 69th International Astronautical Congress 2018, pages 1--12.
IAC Papers Archive, 2018.
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[8]
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Yu Cheng, Gerard Gómez, Josep J. Masdemont, and Jianping Yuan.
Analysis of the relative dynamics of a charged spacecraft moving
under the influence of a magnetic field.
Commun. Nonlinear Sci. Numer. Simul., 62:307--338, 2018.
[ DOI ]
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[9]
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Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko, and J. Tomás
Lázaro.
Mixed dynamics of 2-dimensional reversible maps with a symmetric
couple of quadratic homoclinic tangencies.
Discrete Contin. Dyn. Syst., 38(9):4483--4507, 2018.
[ DOI ]
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[10]
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Amadeu Delshams, Antoni Guillamon, and Gemma Huguet.
Quasiperiodic perturbations of heteroclinic attractor networks.
Chaos, 28(10):103111, 19, 2018.
[ DOI ]
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[11]
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Amadeu Delshams and Rodrigo G. Schaefer.
Arnold diffusion for a complete family of perturbations with two
independent harmonics.
Discrete Contin. Dyn. Syst., 38(12):6047--6072, 2018.
[ DOI ]
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[12]
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Amadeu Delshams, Adrià Simon, and Piotr Zgliczyński.
Shadowing of non-transversal heteroclinic chains.
J. Differential Equations, 264(5):3619--3663, 2018.
[ DOI ]
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[13]
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X. Duan, G. Gómez, J.J. Masdemont, and Y. Xiaokui.
Solar sail propelant-free transfer maneuvers between libration point
orbits around the collinear equilibrium points.
In 69th International Astronautical Congress 2018, pages 1--12.
IAC Papers Archive, 2018.
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[14]
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V. Z. Enolski and Yu. N. Fedorov.
Algebraic description of Jacobians isogeneous to certain Prym
varieties with polarization (1,2).
Exp. Math., 27(2):147--178, 2018.
[ DOI ]
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[15]
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Marian Gidea and Rafael de la Llave.
Global Melnikov theory in Hamiltonian systems with general
time-dependent perturbations.
J. Nonlinear Sci., 28(5):1657--1707, 2018.
[ DOI ]
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[16]
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A. S. Gonchenko, S. V. Gonchenko, A. O. Kazakov, and A. D. Kozlov.
Elements of contemporary theory of dynamical chaos: a tutorial.
Part I. Pseudohyperbolic attractors.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(11):1830036,
29, 2018.
[ DOI ]
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[17]
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M. Gonchenko, S. V. Gonchenko, I. Ovsyannikov, and A. Vieiro.
On local and global aspects of the 1:4 resonance in the conservative
cubic Hénon maps.
Chaos, 28(4):043123, 15, 2018.
[ DOI ]
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[18]
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S. V. Gonchenko, A. S. Gonchenko, and M. I. Malkin.
On local topological classification of two-dimensional orientable,
non-orientable, and half-orientable horseshoes.
In Regularity and stochasticity of nonlinear dynamical systems,
volume 21 of Nonlinear Syst. Complex., pages 161--180. Springer, Cham,
2018.
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[19]
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Sergey Gonchenko, Ming-Chia Li, and Mikhail Malkin.
Criteria on existence of horseshoes near homoclinic tangencies of
arbitrary orders.
Dyn. Syst., 33(3):441--463, 2018.
[ DOI ]
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[20]
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Guan Huang, Vadim Kaloshin, and Alfonso Sorrentino.
Nearly circular domains which are integrable close to the boundary
are ellipses.
Geom. Funct. Anal., 28(2):334--392, 2018.
[ DOI ]
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[21]
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Guan Huang, Vadim Kaloshin, and Alfonso Sorrentino.
On the marked length spectrum of generic strictly convex billiard
tables.
Duke Math. J., 167(1):175--209, 2018.
[ DOI ]
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[22]
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Vadim Kaloshin and Alfonso Sorrentino.
On the integrability of Birkhoff billiards.
Philos. Trans. Roy. Soc. A, 376(2131):20170419, 16, 2018.
[ DOI ]
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[23]
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Vadim Kaloshin and Alfonso Sorrentino.
On the local Birkhoff conjecture for convex billiards.
Ann. of Math. (2), 188(1):315--380, 2018.
[ DOI ]
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[24]
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Vadim Kaloshin and Ke Zhang.
Density of convex billiards with rational caustics.
Nonlinearity, 31(11):5214--5234, 2018.
[ DOI ]
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[25]
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Vadim Kaloshin and Ke Zhang.
Dynamics of the dominant Hamiltonian.
Bull. Soc. Math. France, 146(3):517--574, 2018.
[ DOI ]
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[26]
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Rafael de la Llave.
Uniform boundedness of iterates of analytic mappings implies
linearization: a simple proof and extensions.
Regul. Chaotic Dyn., 23(1):1--11, 2018.
[ DOI ]
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[27]
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P. Machuca, J.P. Sànchez, J.J. Masdemont, and G. Gómez.
Low-energy trajectory design and autonomous navigation to flyby
near-Earth asteroids using CubeSats.
In 69th International Astronautical Congress 2018, pages 1--17.
IAC Papers Archive, 2018.
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[28]
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Mercè Ollé.
To and fro motion for the hydrogen atom in a circularly polarized
microwave field.
Commun. Nonlinear Sci. Numer. Simul., 54:286--301, 2018.
[ DOI ]
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[29]
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Mercè Ollé and Juan R. Pacha.
Hopf bifurcation for the hydrogen atom in a circularly polarized
microwave field.
Commun. Nonlinear Sci. Numer. Simul., 62:27--60, 2018.
[ DOI ]
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[30]
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Mercè Ollé, Òscar Rodríguez, and Jaume Soler.
Ejection-collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 55:298--315, 2018.
[ DOI ]
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[31]
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A. Pérez-Cervera, G. Huguet, and T. M-Seara.
Computation of invariant curves in the analysis of periodically
forced neural oscillators.
In Nonlinear Systems, Vol. 2, pages 63--81. Springer, 2018.
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[32]
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Daniel Pérez-Palau, Gerard Gómez, and Josep J. Masdemont.
A new subdivision algorithm for the flow propagation using polynomial
algebras.
Commun. Nonlinear Sci. Numer. Simul., 61:37--53, 2018.
[ DOI ]
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[33]
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Júlia Puig, Gerard Farré, Antoni Guillamon, Ernest Fontich, and Josep
Sardanyés.
Bifurcation gaps in asymmetric and high-dimensional hypercycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(1):1830001, 17,
2018.
[ DOI ]
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[34]
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Hossein Salahshoor and Rafael de la Llave.
A numerical investigation of the pinning phenomenon in quasi-periodic
Frenkel Kontrova model under an external force.
J. Stat. Phys., 173(2):398--410, 2018.
[ DOI ]
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[35]
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P. Sánchez-Martín, J.J. Masdemont, and M. Romero-Gómez.
From manifolds to Lagrangian coherent structures in galactic bar
models.
Astron. Astrophys., 618:1--14, 2018.
[ DOI ]
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[36]
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R.G. Schaefer.
Global instability in Hamiltonian systems.
PhD thesis, Univ. Politècnica de Catalunya, July 2018.
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[37]
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Jordi Villanueva.
A parameterization method for Lagrangian tori of exact symplectic
maps of R2r.
SIAM J. Appl. Dyn. Syst., 17(3):2289--2331, 2018.
[ DOI ]
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[38]
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L. Yuying, G. Gómez, J.J. Masdemont, and X. Ming.
Dynamics around the triangular libration points of 1999 KW4.
In 69th International Astronautical Congress 2018, pages 1--12.
IAC Papers Archive, 2018.
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[39]
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Lei Zhang and Rafael de la Llave.
Transition state theory with quasi-periodic forcing.
Commun. Nonlinear Sci. Numer. Simul., 62:229--243, 2018.
[ DOI ]
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