We apply the Lindstedt–Poincaré method to the Lotka–Volterra model and discuss alternative implementations of the approach. By means of an efficient systematic algorithm we obtain an unprecedented number of perturbation ...

We show that it is possible to extract useful information from the straightforward perturbation theory in classical mechanics. Although the secular terms make the perturbation series useless for large times, these expansions ...

Simple climate models help to explain the natural variability of the Earth's climate system. These models show that Earth's climate can switch from a stable warm state to a cool state and is sensitive to relative small ...

The use of space-based orbital reflectors to increase the total insolation of the Earth has been considered with potential applications in night-side illumination, electric power generation and climate engineering. Previous ...

We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients of the series for the period and for the amplitude to order 859. Hermite-Padé ...

The Bose-Hubbard model describes short-range interacting spinless bosons on a random lattice. This model is realized in ultracold atomic systems where quantum phase transitions can be observed. When loaded into a deep ...