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The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance
(Hindawi Publishing Corporation, 2012-01-01)
The orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the ...
Regular and chaotic interactions of two BPS dyons at low energy
(American Physical Soc, 2005-11-01)
We identify and analyze quasiperiodic and chaotic motion patterns in the time evolution of a classical, non-Abelian Bogomol'nyi-Prasad-Sommerfield (BPS) dyon pair at low energies. This system is amenable to the geodesic ...
Transition to turbulence in the Reynolds' experiment
(Elsevier B.V., 2001-08-01)
In this study we simulate numerically the Reynolds' experiment for the transition from laminar to turbulent flow in a pipe. We present a discussion of the results from a dynamical systems perspective when a control parameter, ...
A bouncing ball model with two nonlinearities: a prototype for Fermi acceleration
(Iop Publishing Ltd, 2008-01-11)
Some dynamical properties of a bouncing ball model under the presence of an external force modelled by two nonlinear terms are studied. The description of the model is made by the use of a two-dimensional nonlinear ...
Suppressing grazing chaos in impacting system by structural nonlinearity
(Pergamon-Elsevier B.V. Ltd, 2008-11-01)
In this note we investigate the influence of structural nonlinearity of a simple cantilever beam impacting system on its dynamic responses close to grazing incidence by a means of numerical simulation. To obtain a clear ...
Parameter space for a dissipative Fermi-Ulam model
(Iop Publishing Ltd, 2011-12-08)
The parameter space for a dissipative bouncing ball model under the effect of inelastic collisions is studied. The system is described using a two-dimensional nonlinear area-contracting map. The introduction of dissipation ...
Shrimp-shape domains in a dissipative kicked rotator
(American Institute of Physics (AIP), 2011-12-01)
Some dynamical properties for a dissipative kicked rotator are studied. Our results show that when dissipation is taken into account a drastic change happens in the structure of the phase space in the sense that the mixed ...
Chaotic thermalization in classical gauge theories
(2013-05-20)
We explore the idea that chaos concepts might be useful for understanding the thermalization in gauge theories. The SU(2) Higgs model is discussed as a prototype of system with gauge fields coupled to matter fields. Through ...
THE USE OF WAVELETS ANALYSIS TO CHARACTERIZE THE DYNAMIC BEHAVIOR OF ENERGY TRANSFER VIBRATIONAL SYSTEMS
(Amer Soc Mechanical Engineers, 2014-01-01)
This paper describes and use of wavelet analysis for identification of regular and irregular behavior of dynamical systems. We are focused in single and double-well potential energy harvesting systems that present either ...
Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
(2014-01-01)
In this analysis, we consider the dynamics of a pendulum under vertical excitation of a crank-shaft-slider mechanism. The nonlinear model approaches that of a classical parametrically excited pendulum when the ratio of the ...