In (Jafari et al, Phys Lett A 377(9):699-702, 2013) the authors gave the expressions of seventeen classes of quadratic differential systems defined in R3, depending on one real parameter a, which present chaotic behavior ...

Neste trabalho, consideramos aspectos algébricos e dinâmicos de alguns problemas envolvendo superfícies algébricas invariantes em sistemas diferenciais polinomiais definidos em R³. Determinamos o número máximo de planos ...

This work is devoted to study of Tonelli Hamiltonians with symmetries from the point of view of symplectic reduction. The goal is to apply techniques of this theory in the determination of minimizing invariant measures and ...

When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincar`e-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions ...

Sudden eccentricity increases of asteroidal motion in 3/1 resonance with Jupiter were discovered and explained by J. Wisdom through the occurrence of jumps in the action corresponding to the critical angle (resonant ...

Sudden eccentricity increases of asteroidal motion in 3/1 resonance with Jupiter were discovered and explained by J. Wisdom through the occurrence of jumps in the action corresponding to the critical angle (resonant ...

This work is concerned with Hamiltonian networks of weakly and long-range coupled oscillators with either variable or constant on-sitefrequencies. We derive an infinite dimensional KAM-like theorem by which we establish ...