Averaging methods for finding periodic orbits via Brouwer degree

A Buică, J Llibre - Bulletin des sciences mathematiques, 2004 - Elsevier
We consider the problem of finding T-periodic solutions for a differential system whose
vector field depend on a small parameter ε. An answer to this problem can be given using …

Modification via averaging of partial-energy-shaping control for creating oscillations: cart-pendulum example

LB Freidovich, AS Shiriaev… - … journal of control, 2009 - Taylor & Francis
We consider the challenging problem of creating oscillations in underactuated mechanical
systems. Target oscillatory motions of the indirectly actuated degree of freedom of a …

The zone boundary mode in periodic nonlinear electrical lattices

HS Bhat, B Osting - Physica D: Nonlinear Phenomena, 2009 - Elsevier
We study the existence and linear stability of the zone boundary mode in a nonlinear
electrical lattice consisting of N inductors and N voltage-dependent capacitors with periodic …

[PDF][PDF] Zero-Hopf Bifurcations and chaos of quadratic jerk systems

B Sang, R Salih, N Wang - J. Nonlinear Funct. Anal, 2020 - researchgate.net
The purpose of this paper is to propose some coefficient conditions, characterize the stability
of the periodic solutions bifurcated from zero-Hopf bifurcations of the general quadratic jerk …

Vibrational Control in Flapping-Wing Micro-Air-Vehicles

H Taha, M Kiani, J Navarro - 2018 Annual American Control …, 2018 - ieeexplore.ieee.org
Flapping-Wing Micro-Air-Vehicles (FWMAVs) are bio-inspired air vehicles that mimic insect
and bird flight. The dynamic behavior of these systems is typically described by a multi-body …

Stability of periodic solutions for Lipschitz systems obtained via the averaging method

A Buică, A Daniilidis - Proceedings of the American Mathematical Society, 2007 - ams.org
Existence and asymptotic stability of the periodic solutions of the Lipschitz system $
x'(t)=\varepsilon F (t, x,\varepsilon) $ is hereby studied via the averaging method. The …

Weakly coupled oscillators and topological degree

M Fečkan, R Ma, B Thompson - Bulletin des sciences mathematiques, 2007 - Elsevier
Weakly coupled oscillators and topological degree Page 1 Bull. Sci. math. 131 (2007) 559–571
www.elsevier.com/locate/bulsci Weakly coupled oscillators and topological degree Michal …

[PDF][PDF] Zero-Hopf Bifurcations and chaos of some quadratic jerk systems

B Sang, RH Salih, N Wang - researchgate.net
The purpose of this paper is to propose some coefficient conditions, characterizing the
stability of periodic solutions bifurcated from zero-Hopf bifurcations of the general quadratic …

[引用][C] The Zone Boundary Mode in Nonlinear Electrical Lattices

HS Bhat, B Osting