BREUDS: papers and preprints

Document title

J. Torregrosa, C. Pessoa, C. Buzzi. Piecewise linear perturbations of a linear center, Discrete and Continuous Dynamical Systems 33 (2013), 3915–3936. 10.3934/dcds.2013.33.3915

J. Llibre, M.A. Teixeira , J. Torregrosa. Lower bounds for the mime number of limit cycles of discontinuous piecewise linear different systems with a straight line of separation,
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 23 (2013), 1350066. 10.1142/S0218127413500661

J. Llibre, L. Roberto. On the periodic orbits of the third-order differential equation,
Applied Mathematics Letters, 26 (2013), 425–340. 10.1016/j.aml.2012.10.017

J. Llibre, A. Rodrigues. A note on the periodic orbits of a kind of Duffing equations.
Applied Mathematics and Computation 219 (2013), 8358—8365. 10.1016/j.amc.2012.11.087

J. Llibre, A.C. Mereu. Limit cycles for discontinuous quadratic differential systems with two zones.
Journal of Mathematical Analysis and Applications 413 (2014), 763—775. 10.1016/j.jmaa.2013.12.031

J.C. Artés , J. Llibre, J.C. Medrado, M.A. Teixeira. Piecewise linear differential systems with two real saddles.
Mathematics and Computers in Simulation 95 (2014), 13–22. 10.1016/j.matcom.2013.02.007

S. Pinto de Carvalho, R. Ramírez Ros. Non-persistence of resonant caustics in perturbed elliptic billiards.
Ergodic Theory and Dynamical Systems 33 (2013), 1876-1890. 10.1017/S0143385712000417

A. Delshams, S.V. Gonchenko, V.S. Gonchenko , J.T. Lázaro, O. Sten'kin. Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps.
Nonlinearity 26 (2013), 1–33. 10.1088/0951-7715/26/1/1

I. Baldomá, O. Castejón, T.M. Seara. Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity.
Journal of Dynamics and Differential Equations 25 (2013), 335-392. 10.1007/s10884-013-9297-2

K. Gyarmati, C. Mauduit, A. Sárközy. On the linear complexity of binary lattices.
Ramanujan Journal 32 (2013), 185—201. 10.1007/s11139-012-9433-3

T. Miernowski, A. Nogueira. Exactness of the Euclidean algorithm and of the Rauzy induction on the space of interval exchange transformations.
Ergodic Theory and Dynamical Systems 33 (2013), 221-246. 10.1017/S014338571100085X

A. Nogueira, B. Pires, S. Troubetzkoy. Orbit structure of interval exchange transformations with flip.
Nonlinearity 26 (2013), 525-537. 10.1088/0951-7715/26/2/525

T. Pereira, J. Eldering, M. Rasmussen, A. Veneziani. Towards a theory for diffusive coupling functions allowing persistent synchronization.
Nonlinearity 27 (2014), 501—525. 10.1088/0951-7715/27/3/501

K. Gyarmati, C. Mauduit, A. Sárközy. On the linear complexity of binary lattices II.
Ramanujan Journal 34 (2014), 237—263. 10.1007/s11139-013-9500-4

B. Martin, C. Mauduit, Joël Rivat. Théorème des nombres premiers pour les fonctions digitales. Acta Arithmetica 165 (2014), 11-45. 10.4064/aa165-1-2
C.A. Buzzi, J. Llibre.
No periodic orbits for the type A Bianchi's systems. Journal of Nonlinear Mathematical Physics 22 (2015), 170—179. 10.1080/14029251.2015.1023561

C.A. Buzzi, T. de Carvalho, R.D. Eusébio. Chaotic planar piecewise smooth vector fields with non-trivial minimal sets.
Ergodic Theory and Dynamical Systems (2014) published online. 10.1017/etds.2014.67

C.A. Buzzi, J. Llibre. Hopf bifurcation in the full repressilator equations.
Mathematical Methods in the Applied Sciences (2014) published online. 10.1002/MMA.3158

C.A. Buzzi, T. de Carvalho, M.A. Teixeira. Birth of limit cycles bifurcating from a nonsmooth center. Journal des Mathematiques Pures et Appliquees 102 (2014), 36—47. 10.1016/j.matpur.2013.10.013

C.A. Buzzi, T. de Carvalho ,P.R. da Silva. Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane.
Journal of Dynamical and Control Systems 19 (2013), 173–193. 10.1007/s10883-013-9169-4

C.A. Buzzi, P.R. da Silva, J.C.R. Medrado. Peixoto
ʼs Theorem for vector fields on with impasse points. Bulletin des Sciences Mathematiques 137 (2013), 691–704. 10.1016/j.bulsci.2013.01.003

C.A. Buzzi, J.C.R. Medrado, M.A. Teixeira. Generic bifurcation of refracted systems.
Advances in Mathematics 234 (2013), 653–666. 10.1016/j.aim.2012.11.008

V. Climenhaga. The thermodynamic approach to multifractal analysis.
Ergodic Theory and Dynamical Systems 34 (2014), 1409–1450. 10.1017/etds.2014.12

J. Llibre, L.A. Roberto. On the periodic solutions of a class of Duffing differential equations.
Discrete and Continuous Dynamical Systems 33 (2013), 277–282. 10.3934/dcds.2013.33.277

J. Llibre, L.A. Roberto. Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential.
Astrophysics and Space Science 343 (2013), 69-74. 10.1007/s10509-012-1210-7

L.M.O. Biscolla, J. Llibre, W.M. Oliva. The rolling ball problem on the plane revisited.
Zeitschrift fur Angewandte Mathematik und Physik 64 (2013), 991–1003. 10.1007/s00033-012-0279-8

J. Llibre, B.D. Lopes, J.R. de Moraes. Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2.
Applied Mathematics and Computation 250 (2015), 887–907. 10.1016/j.amc.2014.11.029

J. Llibre, D.D. Novaes, M.A. Teixeira. Higher order averaging theory for finding periodic solutions via Brouwer degree.
Nonlinearity 27 (2014), 563—583. 10.1088/0951-7715/27/3/563

J. Llibre, R.D. Euzébio. Periodic solutions of El Niño model through the Vallis differential system.
Discrete and Continuous Dynamical Systems 34 (2014), 3455–3469. 10.3934/dcds.2014.34.3455

J. Llibre, B.D. Lopes, J.R. De Moraes. Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems.
Qualitative Theory of Dynamical Systems 13 (2014), 129–148. 10.1007/s12346-014-0109-9

J. Llibre, C.D.L. da Silva, P.R. da Silva. Piecewise bounded quadraticsystems in the plane.
Differential Equations and Dynamical Systems (2014), published online. 10.1007/s12591-014-0205-y

M.F.S. Lima, J. Llibre, C. Valls. Integrability of the Rucklidge system.
Nonlinear Dynamics 77 (2014), 1441–1453.  10.1007/s11071-014-1389-y

M.F.S. Lima, J. Llibre. Global dynamics of the Benoît system.
Annali di Matematica Pura ed Applicata 193 (2014), 1103–1122. 10.1007/s10231-012-0318-2

J. Llibre, C. Valls. Nonintegrabilty of a Halphen system.
Theoretical and Mathematical Physics 181 (2014), 1383–1395. 10.1007/s11232-014-0219-1

M. Kulesza, J. Llibre. The 3-dimensional cored and logarithm potentials: Periodic orbits.
Journal of Mathematical Physics 55 (2014), 112702. 10.1063/1.4901126

J. Llibre, M.A. Teixeira. Periodic solutions of discontinuous second order differential systems.
Journal of Singularities 10 (2014), 183—190. 10.5427/jsing.2014.10l

J.C. Artés , A.C. Rezende , R.D.S. Oliveira. The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (A, B).
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 24 (2014), 1450044. 10.1142/S0218127414500448

J.C. Artés , A.C. Rezende , R.D.S. Oliveira. Global phase portraits of quadratic polynomial differential system with a semi-elemental triple node. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 (2013), 1350140. 10.1142/S021812741350140X

P. De Maesschalck, S. Rebollo-Perdomo, J. Torregrosa. Cyclicity of a fake saddle inside the quadratic vector fields. Journal of Differential Equations 258 (2015), 588–620. 10.1016/j.jde.2014.09.024

A. Abbondandolo, L. Macarini, G. Paternain. On the existence of three closed magnetic geodesics for subcritical energies. Commentarii Mathematici Helvetici 90 (2015), 155–193. 10.4171/CMH/350

C.A. Buzzi, T. de Carvalho, P.R. da Silva. Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane. Journal of Dynamical and Control Systems 19 (2013), 173–193. 10.1007/s10883-013-9169-4

P.T. Cardin, P.R. da Silva, M.A. Teixeira. On singularly perturbed Filippov systems. European Journal of Applied Mathematics 24 (2013), 835–856. 10.1017/S0956792513000211

C.A. Buzzi, P.R. da Silva, J.C.R. Medrado. Peixotoʼs Theorem for vector fields on with impasse points. Bulletin des Sciences Mathematiques 137 (2013), 691–704. 10.1016/j.bulsci.2013.01.003

P.T. Cardin, P.R. da Silva, M.A. Teixeira. Three time scale singular perturbation problems and nonsmooth dynamical systems. Quarterly of Applied Mathematics 72 (2014), 673–687. 10.1090/S0033-569X-2014-01360-X

P.T. Cardin, P.R. da Silva, M.A. Teixeira. Geometric singular perturbartion theory for non-smooth dynamical systems. Publicacions Matematiques  EXTRA (2014), 111-134. 10.5565/PUBLMAT_Extra14_06

J. Llibre, C.E.L. da Silva, P.R. da Silva. Piecewise Bounded Quadratic Systems in the Plane.
Differential Equations and Dynamical Systems (2014), published online. 10.1007/s12591-014-0205-y

J. Llibre, P.R. da Silva, M.A. Teixeira. Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds. Nonlinearity 28 (2015), 493–507. 10.1088/0951-7715/28/2/493

P. Chleboun , S. Grosskinsky. A dynamical transition and metastability in a size-dependent zero-range process. Journal of Physics A: Mathematical and Theoretical 48 (2015), 055001. 10.1088/1751-8113/48/5/055001

T. Jäger, A. Passeggi. On torus homeomorphisms semiconjugate to irrational rotations. Ergodic Theory and Dynamical Systems (2014), published online. 10.1017/etds.2014.23

A. Passeggi. Rational polygons as rotation sets of generic homeomorphisms of the two torus. Journal of the London Mathematical Society 89 (2014), 235–254. 10.1112/jlms/jdt040

L.J. Díaz, K. Gelfert, M. Rams. Abundant rich phase transitions in step-skew products. Nonlinearity 27 (2014), 2255–2280. 10.1088/0951-7715/27/9/2255

P. Boyland, A. de Cavalho, T. Hall. Symbol ratio minimax sequences in the lexicographic order. Ergodic Theory and Dynamical Systems (2014), published online. 10.1017/etds.2014.44