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Necessary and Sufficient Conditions for the Asymptotic Stability of Linear Stochastic Systems

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inferredcites →https://doi.org/10.1016/0041-5553(70)90203-xopenalex-snapshot
Topics in the theory of random noise
inferredcites →https://doi.org/10.1063/1.1724328openalex-snapshot
Statistical Behavior of Linear Systems with Randomly Varying Parameters
inferredcites →https://doi.org/10.1090/psapm/013/0152399openalex-snapshot
Control of randomly varying linear dynamical systems
inferredcites →https://doi.org/10.1090/s0002-9947-1963-0163345-0openalex-snapshot
Noncommuting Random Products
inferredcites →https://doi.org/10.1121/1.1908154openalex-snapshot
On the Stability of Random Systems and the Stabilization of Deterministic Systems with Random Noise
inferredcites →https://doi.org/10.1137/1106014openalex-snapshot
On Limit Distributions of Sums of Conditionally Independent Random Variables
inferredcites →https://doi.org/10.1137/1110002openalex-snapshot
On Limit Theorems for the Product of Random Matrices
inferredcites →https://doi.org/10.1214/aoms/1177699916openalex-snapshot
On the Convergence of Ordinary Integrals to Stochastic Integrals
inferredcites →https://doi.org/10.1214/aoms/1177705909openalex-snapshot
Products of Random Matrices

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inferred← citeshttps://doi.org/10.2139/ssrn.4634982openalex-extracted
inferred← citeshttps://doi.org/10.1002/cpa.3160270303openalex-snapshot
Stochastic stability and the dirichlet problem
inferred← citeshttps://doi.org/10.1002/ecja.4391020619openalex-snapshot
Stability and stabilization of random parameter linear systems
inferred← citeshttps://doi.org/10.1002/eqe.4290140311openalex-snapshot
Stability of elastic frames subjected to earthquake excitations
inferred← citeshttps://doi.org/10.1002/rnc.4689openalex-snapshot
Feedback stabilization of multi‐DOF nonlinear stochastic Markovian jump systems
inferred← citeshttps://doi.org/10.1002/rnc.6495openalex-snapshot
Stochastic stabilization of multi‐degree‐of‐freedom nonlinear random‐time‐delay controlled systems
inferred← citeshttps://doi.org/10.1002/stc.141openalex-snapshot
Structural health monitoring by Lyapunov exponents of non-linear time series
inferred← citeshttps://doi.org/10.1002/stc.4300070203openalex-snapshot
Nonlinear analysis of stochastic stability problems
inferred← citeshttps://doi.org/10.1006/jsvi.1999.2505openalex-snapshot
ON THE ALMOST-SURE ASYMPTOTIC STABILITY OF SECOND ORDER LINEAR STOCHASTIC SYSTEM
inferred← citeshttps://doi.org/10.1006/jsvi.2000.2951openalex-snapshot
ALMOST-SURE STABILITY OF A GYROPENDULUM SUBJECTED TO WHITE-NOISE RANDOM SUPPORT MOTION
inferred← citeshttps://doi.org/10.1006/jsvi.2000.3211openalex-snapshot
MOMENT LYAPUNOV EXPONENTS OF A TWO-DIMENSIONAL SYSTEM UNDER REAL-NOISE EXCITATION
inferred← citeshttps://doi.org/10.1007/0-387-22655-9_1openalex-snapshot
Stability Along Trajectories at a Stochastic Bifurcation Point
inferred← citeshttps://doi.org/10.1007/3-540-12326-1_15openalex-snapshot
Stability of stochastic systems
inferred← citeshttps://doi.org/10.1007/3-540-60214-3_53openalex-snapshot
Pitchfork and Hopf bifurcations in stochastic systems — Effective methods to calculate Lyapunov exponents
inferred← citeshttps://doi.org/10.1007/978-0-85729-218-6_7openalex-snapshot
Chaotic Fatigue
inferred← citeshttps://doi.org/10.1007/978-0-85729-256-8_3openalex-snapshot
Constrained Switching
inferred← citeshttps://doi.org/10.1007/978-1-4612-0389-6_1openalex-snapshot
Stability and Equilibrium Properties of Stochastic Flows of Diffeomorphisms
inferred← citeshttps://doi.org/10.1007/978-1-4612-2022-0_1openalex-snapshot
Stochastic Differential Systems With Memory: Theory, Examples and Applications
inferred← citeshttps://doi.org/10.1007/978-3-031-72794-8_8openalex-snapshot
Asymptotic Approximation of the Maximal Lyapunov Exponent of Moore-Greitzer PDE Model with Small Multiplicative Noise Close to Stall Bifurcation
inferred← citeshttps://doi.org/10.1007/978-3-0348-6413-8_13openalex-snapshot
Simulation and Analysis of Mechanical Systems with Parameter Fluctuations
inferred← citeshttps://doi.org/10.1007/978-3-319-40940-5_2openalex-snapshot
Ebola in the Hog Sector: Modeling Pandemic Emergence in Commodity Livestock
inferred← citeshttps://doi.org/10.1007/978-3-319-44427-7_14openalex-snapshot
Parameter Selection in Particle Swarm Optimisation from Stochastic Stability Analysis
inferred← citeshttps://doi.org/10.1007/978-3-319-99537-3_9openalex-snapshot
Asymptotic Behavior of Solutions of Stochastic Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-68038-0_10openalex-snapshot
Qualitative Theory of Stochastic Non-Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-83578-0_1openalex-snapshot
Lyapunov Exponents and Stochastic Bifurcations
inferred← citeshttps://doi.org/10.1007/978-3-642-83578-0_20openalex-snapshot
The Exact Almost Sure Stability for a Specific Class of Non-Linear Ito Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-83578-0_42openalex-snapshot
Analysis and Simulation of Nonlinear Stochastic Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-84531-4_1openalex-snapshot
Lyapunov Exponents of Two-Degrees-of-Freedom Linear Stochastic Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-84531-4_8openalex-snapshot
On Almost Sure Sample Stability of Nonlinear Ito Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-84789-9_2openalex-snapshot
On the Localization Phenomenon in Randomly Disordered Engineering Structures
inferred← citeshttps://doi.org/10.1007/978-3-642-84789-9_45openalex-snapshot
Simulation and Analysis of Mechanical Systems with Parameter Fluctuation
inferred← citeshttps://doi.org/10.1007/978-3-7091-2682-0_1openalex-snapshot
Stochastic and Chaotic Motion in Engineering Systems
inferred← citeshttps://doi.org/10.1007/978-94-007-0732-0_22openalex-snapshot
Stochastic Parameter Resonance of Road-Vehicle Systems and Related Bifurcation Problems
inferred← citeshttps://doi.org/10.1007/978-94-007-1643-8_10openalex-snapshot
Resonances of Road-Vehicle Systems with Nonlinear Wheel Suspensions
inferred← citeshttps://doi.org/10.1007/978-94-009-0321-0_40openalex-snapshot
Lyapunov Exponents and Information Dimensions of Multi-Degree-of-Freedom Systems Under Deterministic and Stationary Random Excitations
inferred← citeshttps://doi.org/10.1007/978-94-009-0321-0_42openalex-snapshot
Stability and Invariant Measures of Perturbed Dynamical Systems
inferred← citeshttps://doi.org/10.1007/978-94-010-0179-3_10openalex-snapshot
Lyapunov Exponents and Stability for the Stochastic Duffing-Van der Pol Oscillator
inferred← citeshttps://doi.org/10.1007/978-94-010-0179-3_24openalex-snapshot
Lyapunov Exponent and Stability of Optimally Controlled Quasi Partially Integrable Hamiltonian Systems
inferred← citeshttps://doi.org/10.1007/978-94-010-0179-3_28openalex-snapshot
Dynamic Systems Driven by Poisson/Lévy White Noise
inferred← citeshttps://doi.org/10.1007/978-94-010-0179-3_8openalex-snapshot
Stochastic Stability of Coupled Oscillators in Internal Resonance
inferred← citeshttps://doi.org/10.1007/978-94-010-0886-0_7openalex-snapshot
Generalized Fourier Analysis for Stochastic Stability Problems
inferred← citeshttps://doi.org/10.1007/978-94-011-0367-1_9openalex-snapshot
Dynamic Buckling of Shallow Curved Structures under Stochastic Loads
inferred← citeshttps://doi.org/10.1007/978-94-011-3692-1_11openalex-snapshot
Maximal Lyapunov Exponent for a Stochastically Perturbed Co-Dimension Two Bifurcation
inferred← citeshttps://doi.org/10.1007/978-981-96-3833-8_6openalex-snapshot
Several Applications of the Stochastic Averaging Methods in Technical Sciences
inferred← citeshttps://doi.org/10.1007/bf00045012openalex-snapshot
Dynamic buckling of shallow curved structures under stochastic loads
inferred← citeshttps://doi.org/10.1007/bf00133341openalex-snapshot
On the two bifurcations of a white-noise excited Hopf bifurcation system
inferred← citeshttps://doi.org/10.1007/bf01020611openalex-snapshot
Lyapunov exponents of stochastic dynamical systems
inferred← citeshttps://doi.org/10.1007/bf01058437openalex-snapshot
Maximal Lyapunov exponent and rotation numbers for two coupled oscillators driven by real noise
inferred← citeshttps://doi.org/10.1007/bf01206233openalex-snapshot
A stochastic Hopf bifurcation
inferred← citeshttps://doi.org/10.1007/bf01258747openalex-snapshot
Eventual uniform asymptotic stability for stochastic differential equation based on semimartingale with spatial parameter
inferred← citeshttps://doi.org/10.1007/bf01857586openalex-snapshot
Necessary and sufficient conditions for existence of stationary solutions of some nonlinear stochastic systems
inferred← citeshttps://doi.org/10.1007/bf02186871openalex-snapshot
Almost-sure asymptotic stability of a general four-dimensional system driven by real noise
inferred← citeshttps://doi.org/10.1007/bf02462998openalex-snapshot
Two-dimensional stochastic exponential growth models
inferred← citeshttps://doi.org/10.1007/bf02487958openalex-snapshot
Nonlinear stochastic dynamics: A survey of recent developments
inferred← citeshttps://doi.org/10.1007/bfb0006164openalex-snapshot
A liapunov-like criterion and a first passage-time problems in non-linear stochastic systems
inferred← citeshttps://doi.org/10.1007/bfb0009404openalex-snapshot
Some exact results on stability and growth of linear parameter excited stochastic systems
inferred← citeshttps://doi.org/10.1007/bfb0062668openalex-snapshot
On the stability and growth of real noise parameter-excited linear systems
inferred← citeshttps://doi.org/10.1007/bfb0064931openalex-snapshot
Stability and angular behavior of solutions of stochastic differential equations
inferred← citeshttps://doi.org/10.1007/bfb0064943openalex-snapshot
Stability of the linear stochastic system
inferred← citeshttps://doi.org/10.1007/bfb0076830openalex-snapshot
Lyapunov exponents: A survey
inferred← citeshttps://doi.org/10.1007/bfb0076838openalex-snapshot
Almost sure instability of a class of linear stochastic systems with jump process coefficients
inferred← citeshttps://doi.org/10.1007/bfb0076849openalex-snapshot
Survey: Lyapunov exponents for stochastic flows on manifolds
inferred← citeshttps://doi.org/10.1007/bfb0076869openalex-snapshot
Asymptotic behaviour of stochastic flows of diffeomorphisms
inferred← citeshttps://doi.org/10.1007/bfb0086657openalex-snapshot
Eigenvalue representation for the Lyapunov exponents of certain Markov processes
inferred← citeshttps://doi.org/10.1007/bfb0086663openalex-snapshot
Invariant measures for nonlinear stochastic differential equations
inferred← citeshttps://doi.org/10.1007/bfb0086666openalex-snapshot
Lyapunov functions and almost sure exponential stability
inferred← citeshttps://doi.org/10.1007/bfb0086676openalex-snapshot
Lyapunov exponents in stochastic structural dynamics
inferred← citeshttps://doi.org/10.1007/bfb0086677openalex-snapshot
Stochastic approach to small disturbance stability in power systems
inferred← citeshttps://doi.org/10.1007/bfb0086678openalex-snapshot
Lyapunov exponents and invariant measures of equilibria and limit cycles
inferred← citeshttps://doi.org/10.1007/s00285-024-02151-3openalex-snapshot
Stochastic optimal control of pre-exposure prophylaxis for HIV infection for a jump model
inferred← citeshttps://doi.org/10.1007/s00419-013-0767-0openalex-snapshot
Almost sure stochastic stability of a viscoelastic double-beam system
inferred← citeshttps://doi.org/10.1007/s004400200198openalex-snapshot
Almost sure stability of linear stochastic differential equations with jumps
inferred← citeshttps://doi.org/10.1007/s00707-008-0110-yopenalex-snapshot
Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations
inferred← citeshttps://doi.org/10.1007/s00707-016-1761-8openalex-snapshot
Transient response of nonlinear vibro-impact system under Gaussian white noise excitation through complex fractional moments
inferred← citeshttps://doi.org/10.1007/s00773-023-00951-8openalex-snapshot
Stochastic stabilization and destabilization of ship maneuvering motion by multiplicative noise
inferred← citeshttps://doi.org/10.1007/s00773-024-00999-0openalex-snapshot
Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motion
inferred← citeshttps://doi.org/10.1007/s10409-012-0013-yopenalex-snapshot
The maximal Lyapunov exponent of a co-dimension two-bifurcation system excited by a bounded noise
inferred← citeshttps://doi.org/10.1007/s10586-017-0817-4openalex-snapshot
The invariant measure and stationary probability density computing model based analysis of the governor system
inferred← citeshttps://doi.org/10.1007/s10884-015-9443-0openalex-snapshot
Stability of Non-densely Defined Semilinear Stochastic Evolution Equations with Application to the Stochastic Age-Structured Model
inferred← citeshttps://doi.org/10.1007/s11071-011-0315-9openalex-snapshot
Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with multi-time-delayed feedback control and wide-band noise excitations
inferred← citeshttps://doi.org/10.1007/s11071-013-0757-3openalex-snapshot
Lyapunov function construction for nonlinear stochastic dynamical systems
inferred← citeshttps://doi.org/10.1007/s11071-013-0801-3openalex-snapshot
Dynamics of nonlinear ecosystems under colored noise disturbances
inferred← citeshttps://doi.org/10.1007/s11071-014-1413-2openalex-snapshot
Stochastic stability of quasi-partially integrable and non-resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises
inferred← citeshttps://doi.org/10.1007/s11071-016-2752-yopenalex-snapshot
Stochastic optimal control of predator–prey ecosystem by using stochastic maximum principle
inferred← citeshttps://doi.org/10.1007/s11071-017-3474-5openalex-snapshot
Stochastic stability of variable-mass Duffing oscillator with mass disturbance modeled as Gaussian white noise
inferred← citeshttps://doi.org/10.1007/s11071-018-4277-zopenalex-snapshot
Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations
inferred← citeshttps://doi.org/10.1007/s11071-024-09931-yopenalex-snapshot
Lyapunov stability of suspension bridges in turbulent flow
inferred← citeshttps://doi.org/10.1007/s11433-012-4888-1openalex-snapshot
Stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modeled by a fractional derivative
inferred← citeshttps://doi.org/10.1007/s11433-013-5053-1openalex-snapshot
Asymptotic stability with probability one of MDOF nonlinear oscillators with fractional derivative damping
inferred← citeshttps://doi.org/10.1007/s11721-017-0144-7openalex-snapshot
Stochastic stability of particle swarm optimisation
inferred← citeshttps://doi.org/10.1016/0005-1098(69)90060-0openalex-snapshot
A survey of stability of stochastic systems
inferred← citeshttps://doi.org/10.1016/0005-1098(69)90061-2openalex-snapshot
Optimal stochastic control
inferred← citeshttps://doi.org/10.1016/0005-1098(84)90086-4openalex-snapshot
Decomposition and stability of linear systems with multiplicative noise
inferred← citeshttps://doi.org/10.1016/0020-7462(91)90045-uopenalex-snapshot
Parametric amplification effects in acoustical test facilities
inferred← citeshttps://doi.org/10.1016/0020-7462(94)90022-1openalex-snapshot
Stochastic stability of non-linear systems
inferred← citeshttps://doi.org/10.1016/0020-7462(94)90038-8openalex-snapshot
Almost-sure stochastic stability of coupled non-linear oscillators
inferred← citeshttps://doi.org/10.1016/0020-7462(96)00032-7openalex-snapshot
Iterative schemes for stability problems with non-singular Fokker-Planck equations
inferred← citeshttps://doi.org/10.1016/0021-8928(67)90206-7openalex-snapshot
Stability in the first approximation for stochastic systems
inferred← citeshttps://doi.org/10.1016/0022-247x(77)90150-0openalex-snapshot
Rate of decay for solutions of stochastic differential equations
inferred← citeshttps://doi.org/10.1016/0022-460x(83)90945-8openalex-snapshot
Non-linear resonance in strings under narrow band random excitation, part I: Planar response and stability
inferred← citeshttps://doi.org/10.1016/0022-460x(86)90284-1openalex-snapshot
Stability of cylindrical shells subjected to random loadings
inferred← citeshttps://doi.org/10.1016/0022-460x(91)90653-2openalex-snapshot
Almost sure stability of dynamical systems under combined harmonic and stochastic excitations
inferred← citeshttps://doi.org/10.1016/0040-5809(80)90004-0openalex-snapshot
Conditions for the existence of stationary densities for some two-dimensional diffusion processes with applications in population biology
inferred← citeshttps://doi.org/10.1016/0096-3003(90)90003-lopenalex-snapshot
Stochastic bifurcation
inferred← citeshttps://doi.org/10.1016/0096-3003(90)90051-4openalex-snapshot
Stochastic bifurcation
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00255-3openalex-snapshot
Linear stability analysis for bifurcations in spatially extended systems with fluctuating control parameter
inferred← citeshttps://doi.org/10.1016/0167-4730(86)90003-2openalex-snapshot
Methods of stochastic structural dynamics
inferred← citeshttps://doi.org/10.1016/0167-4730(89)90021-0openalex-snapshot
Stochastic perturbation of pitchfork bifurcations
inferred← citeshttps://doi.org/10.1016/0167-4730(90)90027-mopenalex-snapshot
The exact almost sure stability for a specific class of non-linear ito differential equations
inferred← citeshttps://doi.org/10.1016/0167-4730(90)90028-nopenalex-snapshot
Invariant measures and Lyapunov exponents for generalized parameter fluctuations
inferred← citeshttps://doi.org/10.1016/0167-6911(92)90042-qopenalex-snapshot
Exponential stability of large-scale stochastic differential equations
inferred← citeshttps://doi.org/10.1016/0266-8920(86)90005-6openalex-snapshot
Some results on stability of stochastic dynamical systems
inferred← citeshttps://doi.org/10.1016/0266-8920(91)90017-xopenalex-snapshot
Lyapunov exponents and stochastic stability of coupled linear systems under white noise excitation
inferred← citeshttps://doi.org/10.1016/0266-8920(91)90022-vopenalex-snapshot
On almost sure sample stability of nonlinear Ito differential equations
inferred← citeshttps://doi.org/10.1016/0304-4149(90)90006-eopenalex-snapshot
Exponential stability for stochastic differential equations with respect to semimartingales
inferred← citeshttps://doi.org/10.1016/0304-4149(92)90149-kopenalex-snapshot
Polynomial stability for perturbed stochastic differential equations with respect to semimartingales
inferred← citeshttps://doi.org/10.1016/0370-1573(81)90072-7openalex-snapshot
Qualitative theory of stochastic systems and its applications in physics
inferred← citeshttps://doi.org/10.1016/0375-9601(92)91079-7openalex-snapshot
Spatiotemporal chaotic behavior induced by the multiplicative noise process
inferred← citeshttps://doi.org/10.1016/0550-3213(85)90270-6openalex-snapshot
Correlated subtractions for computer simulations
inferred← citeshttps://doi.org/10.1016/b978-0-12-095603-6.50006-3openalex-snapshot
Qualitative Theory of Stochastic Systems
inferred← citeshttps://doi.org/10.1016/b978-0-12-268202-5.50016-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/b978-0-444-42665-9.50007-4openalex-snapshot
Dynamic Stability of Pipes Conveying Fluid With Stochastic Flow Velocity
inferred← citeshttps://doi.org/10.1016/b978-0-444-42665-9.50017-7openalex-snapshot
Some Results on Stability of Stochastic Dynamical Systems
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2016.07.013openalex-snapshot
Stochastic stability of the inverted pendulum subjected to delta- correlated base excitation
inferred← citeshttps://doi.org/10.1016/j.aml.2012.02.063openalex-snapshot
Exponential stability for stochastic differential equation driven by G-Brownian motion
inferred← citeshttps://doi.org/10.1016/j.automatica.2009.03.025openalex-snapshot
Stochastic minimax control for stabilizing uncertain quasi- integrable Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/j.chaos.2003.12.086openalex-snapshot
Chaos control by harmonic excitation with proper random phase
inferred← citeshttps://doi.org/10.1016/j.chaos.2004.04.014openalex-snapshot
Suppressing chaos of a complex Duffing's system using a random phase
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.04.019openalex-snapshot
Stochastic stabilization of first-passage failure of Rayleigh oscillator under Gaussian White-Noise parametric excitations
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.08.219openalex-snapshot
A nonlinear fracture differential kinetic model to depict chaotic atom motions at a fatigue crack tip based on the differentiable manifold methodology
inferred← citeshttps://doi.org/10.1016/j.chaos.2011.04.001openalex-snapshot
Chaos control of a class of parametrically excited Duffing’s system using a random phase
inferred← citeshttps://doi.org/10.1016/j.chaos.2017.03.015openalex-snapshot
On the p th moment stability of the binary airfoil induced by bounded noise
inferred← citeshttps://doi.org/10.1016/j.chaos.2026.118377openalex-snapshot
Stochastic stability of quasi-integrable and resonant Hamiltonian systems excited by fractional Gaussian noise
inferred← citeshttps://doi.org/10.1016/j.cnsns.2009.12.034openalex-snapshot
The maximal Lyapunov exponent for a three-dimensional system driven by white noise
inferred← citeshttps://doi.org/10.1016/j.cnsns.2019.104898openalex-snapshot
Stability and bifurcation in a stochastic vocal folds model
inferred← citeshttps://doi.org/10.1016/j.crma.2012.11.010openalex-snapshot
Lyapunov exponent of a stochastic SIRS model
inferred← citeshttps://doi.org/10.1016/j.ecocom.2007.06.011openalex-snapshot
Stochastic analysis of predator–prey type ecosystems
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2004.07.021openalex-snapshot
Maximal Lyapunov exponent of a co-dimension two bifurcation system excited by a white noise
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2007.03.010openalex-snapshot
Stochastic stability of non-linear SDOF systems
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2009.04.002openalex-snapshot
Application of stochastic averaging to non-linear ecosystems
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2010.08.008openalex-snapshot
On stationary probability density and maximal Lyapunov exponent of a co-dimension two bifurcation system subjected to parametric excitation by real noise
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2011.03.007openalex-snapshot
Random impacts of a complex damped system
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2013.09.010openalex-snapshot
Stochastic stability of quasi-integrable and non-resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2014.08.003openalex-snapshot
Stochastic stability of quasi-integrable and resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2022.104268openalex-snapshot
Data-driven method for identifying the expression of the Lyapunov exponent from random data
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2003.11.017openalex-snapshot
Stochastic stability of non-gyroscopic viscoelastic systems
inferred← citeshttps://doi.org/10.1016/j.jsv.2004.08.008openalex-snapshot
On the stability properties of a Van der Pol–Duffing oscillator that is driven by a real noise
inferred← citeshttps://doi.org/10.1016/j.jsv.2005.02.001openalex-snapshot
Moment Lyapunov exponents of a two-dimensional system under both harmonic and white noise parametric excitations
inferred← citeshttps://doi.org/10.1016/j.jsv.2006.12.030openalex-snapshot
Moment Lyapunov exponents of a two-dimensional system under combined harmonic and real noise excitations
inferred← citeshttps://doi.org/10.1016/j.jsv.2013.12.027openalex-snapshot
A stochastic averaging method for analyzing vibro-impact systems under Gaussian white noise excitations
inferred← citeshttps://doi.org/10.1016/j.jsv.2014.09.023openalex-snapshot
Mean square stability of a second-order parametric linear system excited by a colored Gaussian noise
inferred← citeshttps://doi.org/10.1016/j.jsv.2015.10.031openalex-snapshot
Dichotomous-noise-induced chaos in a generalized Duffing-type oscillator with fractional-order deflection
inferred← citeshttps://doi.org/10.1016/j.jsv.2025.119605openalex-snapshot
Nonlinear dynamics of a piezoelectric wind energy harvester by exploiting vortex-induced vibration
inferred← citeshttps://doi.org/10.1016/j.nahs.2017.01.001openalex-snapshot
Almost sure stability with general decay rate of neutral stochastic delayed hybrid systems with Lévy noise
inferred← citeshttps://doi.org/10.1016/j.oceaneng.2016.04.007openalex-snapshot
Stability of TLP tether using a stochastic averaging technique
inferred← citeshttps://doi.org/10.1016/j.physd.2021.133105openalex-snapshot
A general view on double limits in differential equations
inferred← citeshttps://doi.org/10.1016/j.physd.2023.133712openalex-snapshot
On the integrability of the vocal fold model
inferred← citeshttps://doi.org/10.1016/j.probengmech.2006.11.002openalex-snapshot
Nonlinear stochastic stability analysis of wind turbine wings by Monte Carlo simulations
inferred← citeshttps://doi.org/10.1016/j.probengmech.2008.11.001openalex-snapshot
Lyapunov functions for quasi-Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/j.probengmech.2011.05.012openalex-snapshot
Digital simulation of road–vehicle systems
inferred← citeshttps://doi.org/10.1016/j.probengmech.2012.12.009openalex-snapshot
Stochastic stability of quasi non-integrable Hamiltonian systems under parametric excitations of Gaussian and Poisson white noises
inferred← citeshttps://doi.org/10.1016/j.probengmech.2018.06.003openalex-snapshot
Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and Poisson white noise parametric excitations
inferred← citeshttps://doi.org/10.1016/j.probengmech.2020.103078openalex-snapshot
Direct control method for improving stability and reliability of nonlinear stochastic dynamical systems
inferred← citeshttps://doi.org/10.1016/j.probengmech.2022.103407openalex-snapshot
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations
inferred← citeshttps://doi.org/10.1016/j.probengmech.2025.103733openalex-snapshot
Stochastic stabilization of quasi integrable and non-resonant Hamiltonian systems under combined Gaussian and Poisson white noise excitation
inferred← citeshttps://doi.org/10.1016/j.probengmech.2025.103858openalex-snapshot
Stochastic dynamics in power systems excited by discrete-continuous random disturbances
inferred← citeshttps://doi.org/10.1016/j.proeng.2012.01.247openalex-snapshot
Numerical Research on Stochastic Duffing System
inferred← citeshttps://doi.org/10.1016/j.spa.2004.05.001openalex-snapshot
Stochastic averaging and asymptotic behavior of the stochastic Duffing–van der Pol equation
inferred← citeshttps://doi.org/10.1016/j.ymssp.2019.07.018openalex-snapshot
Stochastic response and stability of system with friction and a rigid barrier
inferred← citeshttps://doi.org/10.1016/j.ymssp.2024.111299openalex-snapshot
Stability and reliability analysis of nonlinear stochastic system using data-driven dimensional analysis method
inferred← citeshttps://doi.org/10.1016/s0020-7462(01)00018-xopenalex-snapshot
Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/s0020-7462(01)00059-2openalex-snapshot
A new approach to almost-sure asymptotic stability of stochastic systems of higher dimension
inferred← citeshttps://doi.org/10.1016/s0020-7462(02)00085-9openalex-snapshot
The Lyapunov exponent for a codimension two bifurcation system that is driven by a real noise
inferred← citeshttps://doi.org/10.1016/s0020-7462(02)00223-8openalex-snapshot
Lyapunov exponent and stochastic stability of quasi-non-integrable Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/s0020-7462(99)00047-5openalex-snapshot
Lyapunov exponent and almost sure asymptotic stability of quasi-linear gyroscopic systems
inferred← citeshttps://doi.org/10.1016/s0022-460x(02)01068-4openalex-snapshot
Moment Lyapunov exponents of a two-dimensional system under bounded noise parametric excitation
inferred← citeshttps://doi.org/10.1016/s0022-460x(03)00320-1openalex-snapshot
On the almost-sure stability condition for a co-dimension two-bifurcation system under the parametric excitation of a real noise
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)63364-0openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0096-3003(96)00307-4openalex-snapshot
Lyapunov exponent and chaos of Duffing's equation perturbed by white noise
inferred← citeshttps://doi.org/10.1016/s0266-8920(05)80002-5openalex-snapshot
Almost-sure asymptotic stability of rotor blades flapping motion in forward flight in turbulent flow
inferred← citeshttps://doi.org/10.1016/s0267-7261(89)80018-1openalex-snapshot
Stability of frames subjected to a white noise base excitation
inferred← citeshttps://doi.org/10.1016/s0304-4149(98)00078-7openalex-snapshot
Stability for multidimensional jump-diffusion processes
inferred← citeshttps://doi.org/10.1016/s0960-0779(01)00237-5openalex-snapshot
Moment Lyapunov exponents of a two-dimensional system in wind-induced vibration under real noise excitation
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)63474-8openalex-snapshot
Decomposition and Stability of Linear Systems with Multiplicative Noise
inferred← citeshttps://doi.org/10.1017/9781108653039openalex-snapshot
Stochastic Stability of Differential Equations in Abstract Spaces
inferred← citeshttps://doi.org/10.1017/9781108653039.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781108653039.002openalex-snapshot
Preliminaries
inferred← citeshttps://doi.org/10.1017/9781108653039.003openalex-snapshot
Stability of Linear Stochastic Differential Equations
inferred← citeshttps://doi.org/10.1017/9781108653039.004openalex-snapshot
Stability of Nonlinear Stochastic Differential Equations
inferred← citeshttps://doi.org/10.1017/9781108653039.005openalex-snapshot
Stability of Stochastic Functional Differential Equations
inferred← citeshttps://doi.org/10.1017/9781108653039.006openalex-snapshot
Some Applications Related to Stochastic Stability
inferred← citeshttps://doi.org/10.1017/9781108653039.007openalex-snapshot
Appendix
inferred← citeshttps://doi.org/10.1017/9781108653039.008openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1017/s0001867800025210openalex-snapshot
Networks and dynamical systems
inferred← citeshttps://doi.org/10.1017/s1446788700000367openalex-snapshot
Stability with a general rate function for a class of stochastic evolution equations in infinite dimensional spaces
inferred← citeshttps://doi.org/10.1023/a:1021208631414openalex-snapshot
Invariant Measures and Lyapunov Exponents for Stochastic Mathieu System
inferred← citeshttps://doi.org/10.1023/a:1026010007067openalex-snapshot
Stochastic Stabilization of Quasi-Partially Integrable Hamiltonian Systems by Using Lyapunov Exponent
inferred← citeshttps://doi.org/10.1023/b:nody.0000045517.37421.c9openalex-snapshot
Feedback Stabilization of Quasi Nonintegrable Hamiltonian Systems by Using Lyapunov Exponent
inferred← citeshttps://doi.org/10.1061/(asce)0733-9399(1983)109:4(990)openalex-snapshot
Dynamic Stability of a Kelvin‐Viscoelastic Column
inferred← citeshttps://doi.org/10.1063/5.0058716openalex-snapshot
Lyapunov exponents for Hamiltonian systems under small Lévy-type perturbations
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