Keyword

stationary probability density

Description: A probability density describing the steady-state distribution of a stochastic process or dynamical system.

Primary topic: stochastic dynamics and bifurcation (32%)

OpenAlex ID: keywords/stationary-probability-density-function

Statistical Mechanics of Population: The Lattice Lotka-Volterra Model

1992 · H. Matsuda, N. Ogita, et al. · Progress of Theoretical Physics · 445

A dual to Lyapunov's stability theorem

2001 · Anders Rantzer · Systems & Control Letters · 368

Nonlinear Control Synthesis by Convex Optimization

2004 · S. Prajna, P.A. Parrilo, et al. · IEEE Transactions on Automatic Control · 298

Run-and-tumble particle in one-dimensional confining potentials: Steady-state, relaxation, and first-passage properties

2019 · Abhishek Dhar, Anupam Kundu, et al. · Physical review. E · 208

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Stochastic bifurcations in a bistable Duffing--Van der Pol oscillator with colored noise

2011 · Yong Xu, Rencai Gu, et al. · Physical Review E · 202

Random Vibrations with Impacts: A Review

2004 · M. F. Dimentberg, D. V. Iourtchenko · Nonlinear Dynamics · 175

An update on the nonequilibrium linear response

2013 · M Baiesi, C Maes · New Journal of Physics · 155

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Generalized event-chain Monte Carlo: Constructing rejection-free global-balance algorithms from infinitesimal steps

2014 · Manon Michel, Sebastian C. Kapfer, et al. · The Journal of Chemical Physics · 150

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Invasion dynamics and attractor inheritance

2002 · S.A.H. Geritz, M. Gyllenberg, et al. · Journal of Mathematical Biology · 150

Rational dither modulation: a high-rate data-hiding method invariant to gain attacks

2005 · F. Perez-Gonzalez, C. Mosquera, et al. · IEEE Transactions on Signal Processing · 147

Response and stability of strongly non-linear oscillators under wide-band random excitation

2001 · W.Q. Zhu, Z.L. Huang, et al. · International Journal of Non-Linear Mechanics · 145

Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative

2008 · Z.L. Huang, X.L. Jin · Journal of Sound and Vibration · 143

Numerical Methods for Second‐Order Stochastic Differential Equations

2007 · Kevin Burrage, Ian Lenane, et al. · SIAM Journal on Scientific Computing · 142

On nonlinear dynamics of interacting populations: Coupled kink waves in a system of two populations

2008 · N.K. Vitanov, I.P. Jordanov, et al. · Communications in Nonlinear Science and Numerical Simulation · 122

Resetting processes with noninstantaneous return

2020 · Anna S. Bodrova, Igor M. Sokolov · Physical review. E · 120

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Stationary solutions of linear stochastic delay differential equations: Applications to biological systems

2001 · T. D. Frank, P. J. Beek · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 116

Fractional Fokker-Planck dynamics: Numerical algorithm and simulations

2006 · E. Heinsalu, M. Patriarca, et al. · Physical Review E · 112

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Statistical Mechanics of Population

1992 · Hirotsugu Matsuda, Naofumi Ogita, et al. · Progress of Theoretical Physics · 111

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A finite element method for the statistics of non-linear random vibration

1985 · R.S. Langley · Journal of Sound and Vibration · 110

Spectral methods for identifying scalar diffusions

1998 · Lars Peter Hansen, José Alexandre Scheinkman, et al. · Journal of Econometrics · 109

Approximate solution of the Fokker–Planck–Kolmogorov equation

2002 · M. Di Paola, A. Sofi · Probabilistic Engineering Mechanics · 104

Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system

2016 · J.H. Yang, Miguel A.F. Sanjuán, et al. · Communications in Nonlinear Science and Numerical Simulation · 103

Stationary response of Duffing oscillator with hardening stiffness and fractional derivative

2012 · Lincong Chen, Weihua Wang, et al. · International Journal of Non-Linear Mechanics · 103

Stochastic bifurcation

1990 · N. Sri Namachchivaya · Applied Mathematics and Computation · 97

Non-Markovian Brownian dynamics and nonergodicity

2005 · Jing-Dong Bao, Peter Hänggi, et al. · Physical Review E · 96

Works count: 1,040

Citation count: 15,700