3 papers
math.AP2016
Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions
Michele V. Bartuccelli, Jonathan H. Deane, Guido Gentile
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions…
math.DS2014
Basins of attraction in forced systems with time-varying dissipation
James A. Wright, Jonathan H. B. Deane, Michele Bartuccelli +1
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipa…
math.DS2014
The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support
James A. Wright, Michele Bartuccelli, Guido Gentile
We consider a pendulum with vertically oscillating support and time-dependent damping coefficient which varies until reaching a finite final value. The sizes of the corresponding b…