1,721,099 research outputs found
An example of chaos for a cubic nonlinear Schroedinger equation with periodic inhomogeneous nonlinearity
No full text
Bound sets and two-points boundary value problems for second order differential equations
No full textUsing Mawhin's continuation principle we obtain a general result on the existence ofsolutions to a boundary value problem for vector second order nonlinear ODEs.Applications are given to the existence of solutions which are containedin suitable bound sets with possibly non-smooth boundary
Analysis of the period map for a singular ODE related to the Liebau phenomenon
No full textWe study the positive periodic solutions of a periodically perturbed second-order nonlinear equation with a singularity, related to the so-called Liebau phenomenon, which has received great deal of interest in the past decade. Our main contribution concerns a global theorem about the monotonicity of the period map for the equation with constant coefficients. Then, as applications, we prove new bifurcation results for periodic solutions (harmonic and subharmonic), as well as the presence of complex dynamics for some periodic coefficients which are meaningful from a physical point of view
Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity
No full textWe study the periodically perturbed Duffing-type equation g(x) = e(t) and its damped counterpart + g(x) = e(t). The main feature of our model is the presence of a "signum term" in g(x). We prove the existence of infinitely many subharmonic solutions as well as the presence of chaotic dynamics for some T-periodic forcing terms
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