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Nonlinear dynamics in the study of birdsong
(American Institute of Physics, 2017-09)
Birdsong, a rich and complex behavior, is a stellar model to understand a variety of biological problems, from motor control to learning. It also enables us to study how behavior emerges when a nervous system, a biomechanical ...
Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps
(2016-05-20)
The critical dynamics near the transition from unlimited to limited action diffusion for two families of well known dissipative nonlinear maps, namely the dissipative standard and dissipative discontinuous maps, is ...
On an Active Control for a Structurally Nonlinear Mechanical System, Taking Into Account an Energy Pumping
(Asme-amer Soc Mechanical Eng, 2009-07-01)
The purpose of this work is to investigate the control of the oscillations and the suppression of vibrations in damped and coupled oscillators. In this sense, we look into the potential of using a nonlinear energy sink in ...
On an Active Control for a Structurally Nonlinear Mechanical System, Taking Into Account an Energy Pumping
(Asme-amer Soc Mechanical Eng, 2009-07-01)
The purpose of this work is to investigate the control of the oscillations and the suppression of vibrations in damped and coupled oscillators. In this sense, we look into the potential of using a nonlinear energy sink in ...
On non-linear dynamics and a periodic control design applied to the potential of membrane action
(Trans Tech Publications Ltd, 2006-01-01)
The Fitzhugh-Nagumo (fn) mathematical model characterizes the action potential of the membrane. The dynamics of the Fitzhugh-Nagumo model have been extensively studied both with a view to their biological implications and ...
Nonlinear Analysis and Characterization of Piezoaeroelastic Energy Harvesters with Discontinuous Nonlinearities
(2022-01-01)
The effects of freeplay and multi-segmented nonlinearities in the pitch degree of freedom on the dynamical responses of a two-degree-of-freedom piezoaeroelastic energy harvesting system are investigated. The nonlinear ...
A new fourth-order family for solving nonlinear problems and its dynamics
In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...
Dynamical behavior and optimization of a nonlinear vibration absorber
(2016-10-01)
The paper concerns the introduction of cubic nonlinearity into a vibration absorber to improve its effectiveness. The nonlinear stiffness is offered by a thin clamped circular plate which undergoes large flexural deflection. ...
Mathematical modelling, nonlinear dynamics, bifurcation, synchronization and control of mechanisms driven by power supply
(2021-01-01)
The special issue entitled “Mathematical modelling, nonlinear dynamics, bifurcation, synchronization and control of mechanisms driven by power supply,” published by The European Physical Journal: Special Topics (EPJST), ...
Characterization and interaction of geometric and contact/impact nonlinearities in dynamical systems
(2022-03-15)
In this work, we study how a contact/impact nonlinearity interacts with a geometric cubic nonlinearity in an oscillator system. Specific focus is shown to the effects on bifurcation behavior and secondary resonances (i.e., ...