Search results for "Nonlinear dynamics and nonlinear dynamical system"

showing 3 items of 3 documents

Stochastic analysis of dynamical systems with delayed control forces

2006

Abstract Reduction of structural vibration in actively controlled dynamical system is usually performed by means of convenient control forces dependent of the dynamic response. In this paper the existent studies will be extended to dynamical systems subjected to non-normal delta-correlated random process with delayed control forces. Taylor series expansion of the control forces has been introduced and the statistics of the dynamical response have been obtained by means of the extended Ito differential rule. Numerical application provided shows the capabilities of the proposed method to analyze stochastic dynamic systems with delayed actions under delta-correlated process contrasting statist…

Computational methods in classical mechanicNumerical AnalysisDynamical systems theoryStochastic processApplied MathematicsStochastic analysis methodsProcess (computing)General linear dynamical systemDynamical systemLinear dynamical systemsymbols.namesakeControl theoryModeling and SimulationTaylor seriessymbolsNonlinear dynamics and nonlinear dynamical systemDifferential (infinitesimal)Reduction (mathematics)MathematicsCommunications in Nonlinear Science and Numerical Simulation
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Asymptotic regime in N random interacting species

2005

The asymptotic regime of a complex ecosystem with \emph{N}random interacting species and in the presence of an external multiplicative noise is analyzed. We find the role of the external noise on the long time probability distribution of the i-th density species, the extinction of species and the local field acting on the i-th population. We analyze in detail the transient dynamics of this field and the cavity field, which is the field acting on the $i^{th}$ species when this is absent. We find that the presence or the absence of some population give different asymptotic distributions of these fields.

Fluctuation phenomena random processes noise and Brownian motionPhysicsPhysics - Physics and SocietyFluctuation phenomena random processes noise and Brownian motion; Nonlinear dynamics and nonlinear dynamical systems; Population dynamics and ecological pattern formation; Complex Systemseducation.field_of_studySettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciExtinctionField (physics)PopulationFOS: Physical sciencesComplex SystemsPhysics and Society (physics.soc-ph)External noiseCondensed Matter PhysicsComplex ecosystemMultiplicative noiseElectronic Optical and Magnetic MaterialsProbability distributionQuantitative Biology::Populations and EvolutionStatistical physicsNonlinear dynamics and nonlinear dynamical systemeducationLocal fieldComputer Science::Distributed Parallel and Cluster ComputingPopulation dynamics and ecological pattern formation
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Moment Equations for a Spatially Extended System of Two Competing Species

2005

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the dynamics of the two species. To describe the spatial distribution of the species we use a model based on Lotka-Volterra (LV) equations. By writing them in a mean field form, the corresponding moment equations for the species concentrations are obtained in Gaussian approximation. In this formalism the system dynamics is analyzed for different values of the multiplicative noise intensity. Finally by comparing these results with those obtained by direct simulat…

PhysicsFluctuation phenomena random processes noise and Brownian motionSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Multiplicative white noiseFOS: Physical sciencesFluctuation phenomena random processes noise and Brownian motion; Nonlinear dynamics and nonlinear dynamical systems; Population dynamics and ecological pattern formationCondensed Matter PhysicsSpatial distributionMultiplicative noiseElectronic Optical and Magnetic MaterialsSystem dynamicsMean field theorySpatial ecologyQuantitative Biology::Populations and EvolutionStatistical physicsNonlinear dynamics and nonlinear dynamical systemCondensed Matter - Statistical MechanicsMoment equationsCoupled map latticePopulation dynamics and ecological pattern formation
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