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Balls, cups, and quasi‐potentials: quantifying stability in stochastic systems
BC Nolting, KC Abbott - Ecology, 2016 - Wiley Online Library
When a system has more than one stable state, how can the stability of these states be
compared? This deceptively simple question has important consequences for ecosystems …
compared? This deceptively simple question has important consequences for ecosystems …
Effects of noise on the phase dynamics of nonlinear oscillators
A Daffertshofer - Physical Review E, 1998 - APS
Various properties of human rhythmic movements have been successfully modeled using
nonlinear oscillators. However, despite some extensions towards stochastical differential …
nonlinear oscillators. However, despite some extensions towards stochastical differential …
Nonlinear dynamics design for piecewise smooth vibration isolation system
G Xue, C Qian, L **, which can be found widely in vibration control engineering …
On the global analysis of a piecewise linear system that is excited by a Gaussian white noise
C Kong, X Gao, X Liu - Journal of Computational …, 2016 - asmedigitalcollection.asme.org
The global analysis is very important for a nonlinear dynamical system which possesses a
chaotic saddle and a nonchaotic attractor, especially for the one that is driven by a noise. For …
chaotic saddle and a nonchaotic attractor, especially for the one that is driven by a noise. For …
Research for attracting region and exit problem of a piecewise linear system under periodic and white noise excitations
K Chen, L **anbin - Chinese Journal of Theoretical and Applied …, 2014 - lxxb.cstam.org.cn
Exit behaviour is one of the significant phenomena of stochastic nonlinear systems, other
than the theory of random dynamical system, the exit problem is an another way to …
than the theory of random dynamical system, the exit problem is an another way to …