Dynamics of a mass–spring–pendulum system with vastly different frequencies

H Sheheitli, RH Rand - Nonlinear Dynamics, 2012 - Springer
We investigate the dynamics of a simple pendulum coupled to a horizontal mass–spring
system. The spring is assumed to have a very large stiffness value such that the natural …

Dynamical systems with a codimension-one invariant manifold: the unfoldings and its bifurcations

KVI Saputra - International Journal of Bifurcation and Chaos, 2015 - World Scientific
We investigate a dynamical system having a special structure namely a codimension-one
invariant manifold that is preserved under the variation of parameters. We derive conditions …

A three-dimensional singularly perturbed conservative system with symmetry breaking

JM Tuwankotta, F Adi-Kusumo… - Journal of Physics A …, 2013 - iopscience.iop.org
In this paper we present an analysis of a three-dimensional singularly perturbed
conservative system. We add a constant vector in the vector field to remove one of the …

[引用][C] BOGDANOV-TAKENS BIFURCATION IN THREE OSCILLATORS SYSTEM WITH ENERGY-PRESERVING NONLINEARITY

JM TUWANKOTTA, L OWEN