[图书][B] Transient chaos: complex dynamics on finite time scales

YC Lai, T Tél - 2011 - books.google.com
The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

Zero-dispersion phenomena in oscillatory systems

SM Soskin, R Mannella, PVE McClintock - Physics reports, 2003 - Elsevier
Phenomena occurring in a particular class of nonlinear oscillatory systems—zero-dispersion
systems—are reviewed for cases with and without damping while the system is driven either …

Nonadiabatic stochastic resonance of a nanomagnet excited by spin torque

X Cheng, CT Boone, J Zhu, IN Krivorotov - Physical review letters, 2010 - APS
We report microwave-frequency magnetization dynamics coexcited by alternating spin
torque and thermal fluctuations. In these dynamics, temperature strongly enhances the …

Resonant symmetry lifting in a parametrically modulated oscillator

D Ryvkine, MI Dykman - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We study a parametrically modulated oscillator that has two stable states of vibration at half
the modulation frequency ω F. Fluctuations of the oscillator lead to interstate switching. A …

Speeding up disease extinction with a limited amount of vaccine

M Khasin, MI Dykman, B Meerson - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We consider optimal vaccination protocol where the vaccine is in short supply. In this case,
the endemic state remains dynamically stable; disease extinction happens at random and …

Enhancement of noise-induced escape through the existence of a chaotic saddle

S Kraut, U Feudel - Physical Review E, 2003 - APS
We study the noise-induced escape process in a prototype dissipative nonequilibrium
system, the Ikeda map. In the presence of a chaotic saddle embedded in the basin of …

Quasipotential approach to critical scaling in noise-induced chaos

T Tél, YC Lai - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
When a dynamical system exhibits transient chaos and a nonchaotic attractor, as in a
periodic window, noise can induce a chaotic attractor. In particular, when the noise …

Fluctuational transitions through a fractal basin boundary

AN Silchenko, S Beri, DG Luchinsky, PVE McClintock - Physical review letters, 2003 - APS
Fluctuational transitions between two coexisting chaotic attractors, separated by a fractal
basin boundary, are studied in a discrete dynamical system. It is shown that the transition …

Noise-induced escape through a chaotic saddle: Lowering of the activation energy

S Kraut, U Feudel - Physica D: Nonlinear Phenomena, 2003 - Elsevier
The noise-induced escape mechanism is investigated for a prototype time-discrete
nonequilibrium system describing a laser in a ring cavity with optical feedback, the Ikeda …

Fluctuational transitions across different kinds of fractal basin boundaries

AN Silchenko, S Beri, DG Luchinsky… - Physical Review E …, 2005 - APS
We study fluctuational transitions in discrete and continuous dynamical systems that have
two coexisting attractors in phase space, separated by a fractal basin boundary which may …