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Effects of noise on some dynamical models in ecology
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Period Three Implies Chaos
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Iterated Maps on the Interval as Dynamical Systems
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Regular and Stochastic Motion
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Coexistence of plant species with similar niches
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Coexistence of plant species with similar niches
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Asymptotic behavior of some stochastic difference equation population models
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Local and global behavior near homoclinic orbits
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Bifurcation phenomena near homoclinic systems: A two-parameter analysis
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Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
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Is the dimension of chaotic attractors invariant under coordinate changes?
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The effect of external noise in the Lorenz model of the B�nard problem
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What can we learn from homoclinic orbits in chaotic dynamics?
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Quantitative universality for a class of nonlinear transformations
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The influence of noise on the logistic model
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On the Hausdorff dimension of fractal attractors
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Possible new strange attractors with spiral structure
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Strange attractors in volterra equations for species in competition
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Existence and bifurcation of stable equilibrium in two-prey, one-predator communities
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Detecting strange attractors in turbulence
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The dynamics of discrete-time stochastic models of population growth
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Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
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On finite limit sets for transformations on the unit interval
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The dimension of chaotic attractors
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Measuring the strangeness of strange attractors
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A scaling law: How an attractor's volume depends on noise level
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Fluctuations and simple chaotic dynamics
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Power spectral analysis of a dynamical system
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Occurence of strange attractors in three-dimensional Volterra equations
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Generation of a countable set of homoclinic flows through bifurcation
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Effect of random noise on the deterministic chaos in a dissipative system
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Nearly one dimensional dynamics in an epidemic
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Simple mathematical models with very complicated dynamics
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Feigenbaum universality and the thermodynamic formalism
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Period Three Implies Chaos
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Bifurcations and Dynamic Complexity in Simple Ecological Models
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Environmental Variability Promotes Coexistence in Lottery Competitive Systems
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Scaling for External Noise at the Onset of Chaos
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Scaling Theory for Noisy Period-Doubling Transitions to Chaos
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Characterization of Strange Attractors
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Hausdorff Dimension and Uniformity Factor of Strange Attractors
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NOISY PERIODICITY AND REVERSE BIFURCATION*
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POWER SPECTRA AND MIXING PROPERTIES OF STRANGE ATTRACTORS
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The problem of deducing the climate from the governing equations
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Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos
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Stable Orbits and Bifurcation of Maps of the Interval
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Persistence of Dynamical Systems under Random Perturbations
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Fractals: Form, Chance, and Dimension
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What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Understanding evolutionary and ecological dynamics using a continuum limit
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Extinction Rate of a Population under both Demographic and Environmental Stochasticity
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Chaos in Ecology and Epidemiology
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Periodic and Chaotic Dynamics in Childhood Infections
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Population Extinctions in Correlated Environments
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