منابع مشابه
Periodically kicked hard oscillators.
A model of a hard oscillator with analytic solution is presented. Its behavior under periodic kicking, for which a closed form stroboscopic map can be obtained, is studied. It is shown that the general structure of such an oscillator includes four distinct regions; the outer two regions correspond to very small or very large amplitude of the external force and match the corresponding regions in...
متن کاملDynamics of periodically kicked oscillators
We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.
متن کاملKicked Burgers Turbulence
1 Observatoire de la Côte d’Azur, Lab. G.D. Cassini, B.P. 4229, F-06304 Nice Cedex 4, France. E-mail: [email protected] 2 Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK. E-mail: [email protected] 3 Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK. 4 Landau Institute for Theoretical Physics, Kosygina Str., 2, Moscow 117332, Rus...
متن کاملStrange Attractors in Periodically-kicked Limit Cycles and Hopf Bifurcations
We prove the emergence of chaotic behavior in the form of horseshoes and strange attractors with SRB measures when certain simple dynamical systems are kicked at periodic time intervals. The settings considered include limit cycles and stationary points undergoing Hopf bifurcations. This paper is about a mechanism for producing chaos. The scheme consists of periodic kicks interspersed with long...
متن کاملSupermetallic and Trapped States in Periodically Kicked Lattices
A periodically driven lattice with two commensurate spatial periodicities is found to exhibit super metallic states characterized by enhancements in wave packet spreading and entropy. These resonances occur at critical values of parameters where multi-band dispersion curves reduce to a universal function that is topologically a circle and the effective quantum dynamics describes free propagatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2000
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.62.4946