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On the application of the Lindstedt–Poincaré method to the Lotka–Volterra system
(Academic Press Inc Elsevier Science, 2018-09)
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 ...
Solar reflectors about the Sun-Earth artificial collinear equilibrium points
(2016-01-01)
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 ...
Stability of bifurcating periodic orbits: an application to laser equations
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2011)
Periodic orbits for space-based reflectors in the circular restricted three-body problem
(2017-05-01)
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 ...
High order analysis of the limit cycle of the van der Pol oscillator
(American Institute of Physics, 2018-01)
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 ...
Ultracold bosons in random lattice potentials
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Física - PPGFCâmpus São Carlos, 2023-04-06)
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 ...