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Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities
(2013-04-15)
Some dynamical properties for a bouncing ball model are studied. We show that when dissipation is introduced the structure of the phase space is changed and attractors appear. Increasing the amount of dissipation, the edges ...
THE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING
(World Scientific Publ Co Pte Ltd, 2012-10-01)
The influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta which denotes the ...
Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction
(2019-01-01)
Construction of basins of attraction, used for the analysis of nonlinear dynamical systems which present multistability, are computationaly very expensive. Because of the long runtime needed, in many cases, the construction ...
Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields
(Elsevier B.V., 2014-10-01)
Generic one-parameter families of piecewise smooth vector fields on R-3 presenting the so-called cusp-fold singularity are studied. The bifurcation diagrams are exhibited and the asymptotic and structural stabilities are ...
WATER AND TOURISM IN THE FORMOSO RIVER BASIN IN BONITO-MS: TOURIST PERCEPTION
(Univ Estadual Paulista Julio Mesquita Filho, 2016-01-01)
In many tourist destinations, the water resources are considered the most relevant element of tourist attraction. Water tourism gives value to water quality, since the water must have characteristics that can attract and ...
Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
(Springer, 2020-07-09)
The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and ...
TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2012)
A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the ...
Dynamical properties for a mixed Fermi accelerator model
(2013-10-01)
The behavior of the decay of velocity in a semi-dissipative one-dimensional Fermi accelerator model is considered. Two different kinds of dissipative forces were considered: (i) F-v and; (ii) F-v2. We prove the decay of ...
Basins of attraction changes by amplitude constraining of oscillators with limited power supply
(Elsevier B.V., 2005-11-01)
We investigate the dynamics of a Duffing oscillator driven by a limited power supply, such that the source of forcing is considered to be another oscillator, coupled to the first one. The resulting dynamics come from the ...
Periodic-orbit analysis and scaling laws of intermingled basins of attraction in an ecological dynamical system
(AMER PHYSICAL SOC, 2008)
Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is riddled with holes ...