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Existence of secondary bifurcations or isolas for PDEs
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper, we introduce a method to conclude about the existence of secondary bifurcations or isolas of steady state solutions for parameter dependent nonlinear partial differential equations. The technique combines ...
Double Hopf bifurcation analysis using frequency domain methods
(Springer, 2005-02)
The dynamic behavior close to a non-resonant double Hopf bifurcation is analyzed via a frequency-domain technique. Approximate expressions of the periodic solutions are computed using the higher order harmonic balance ...
Bifurcation effects on the plasma edge of tokamaks with ergodic limiter.
(European Physical SocietyEspoo, 2013-07-01)
In the present paper, we solve a twist symplectic map for the action of an ergodic magnetic limiter in a large aspect-ratio tokamak. In this model, we study the bifurcation scenarios that occur in the remnants regular ...
Bifurcation Analysis of a Piecewise-Smooth Freeplay System
(2022-01-01)
Physical systems that are subject to intermittent contact/impact are often studied using piecewise-smooth models. Freeplay is a common type of piecewise-smooth system and has been studied extensively for gear systems ...
Escape in a nonideal electro-mechanical system
(2002-11-01)
In this work a particular system is investigated consisting of a pendalum whose point of support is vibrated along a horizontal guide by a two bar linkage driven from a DC motor, considered as a limited power source. This ...
Escape in a nonideal electro-mechanical system
(2002-11-01)
In this work a particular system is investigated consisting of a pendalum whose point of support is vibrated along a horizontal guide by a two bar linkage driven from a DC motor, considered as a limited power source. This ...
Secondary nontwist phenomena in area-preserving maps
(AMER INST PHYSICSMELVILLE, 2012)
Phenomena as reconnection scenarios, periodic-orbit collisions, and primary shearless tori have been recognized as features of nontwist maps. Recently, these phenomena and secondary shearless tori were analytically predicted ...
On the Secondary Instability of Forced and Unforced Laminar Separation Bubbles
(2015-01-01)
Previous studies demonstrate that the primary instability of laminar separation bubbles (LSB) on a flat-plate in the absence of external forcing is a three-dimensional centrifugal one. This work develops a weakly non-linear ...
On the Fucik spectrum of the Laplacian on a torus
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We study the Fucik spectrum of the Laplacian on a two-dimensional torus T(2). Exploiting the invariance properties of the domain T(2) with respect to translations we obtain a good description of large parts of the spectrum. ...