Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Bifurcations in dynamical systems with internal resonance
Dynamical systems with quadratic nonlinearities and exhibiting internal resonance under periodic excitations are studied. Two types of transition from stable to unstable motions are shown to occur. One kind are shown to be associated with jump phenomena while the other kind are shown to be associated with Hopf bifurcations of the averaged system of equations. In the case of the latter, the motions are shown to be amplitude modulated motions at the excitation frequency with the amplitude of modulation determined by the motion of a point on a torus.
Bifurcations in dynamical systems with internal resonance
Dynamical systems with quadratic nonlinearities and exhibiting internal resonance under periodic excitations are studied. Two types of transition from stable to unstable motions are shown to occur. One kind are shown to be associated with jump phenomena while the other kind are shown to be associated with Hopf bifurcations of the averaged system of equations. In the case of the latter, the motions are shown to be amplitude modulated motions at the excitation frequency with the amplitude of modulation determined by the motion of a point on a torus.
Bifurcations in dynamical systems with internal resonance
Gabelung in dynamischen Systemen mit innerer Resonanz
Sethna, P.R. (Autor:in) / Bajaj, A.K. (Autor:in)
ASME-Papers ; 1-8
1978
8 Seiten, 5 Bilder, 16 Quellen
Aufsatz (Konferenz)
Englisch
Stability bifurcations in stochastically perturbed delay dynamical systems
| British Library Conference Proceedings | 2002
Bifurcations of mechanical systems under multiplicative noise
| British Library Conference Proceedings | 2002
Bifurcations in regional migration dynamics
| Online Contents | 2009
Bifurcations in gravel-bed streams
| British Library Conference Proceedings | 2008
Instabilities and bifurcations in geomechanics
| British Library Online Contents | 2011