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Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.

Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity

Victor A. Kovtunenko, Ján Eliaš, Pavel Krejčí, Giselle A. Monteiro, Judita Runcziková (2023)

Archivum Mathematicum

A long-time dynamic for granular materials arising in the hypoplastic theory of Kolymbas type is investigated. It is assumed that the granular hardness allows exponential degradation, which leads to the densification of material states. The governing system for a rate-independent strain under stress control is described by implicit differential equations. Its analytical solution for arbitrary inhomogeneous coefficients is constructed in closed form. Under cyclic loading by periodic pressure, finite...

Subthreshold domain of bistable equilibria for a model of HIV epidemiology.

Corbett, B.D., Moghadas, S.M., Gumel, A.B. (2003)

International Journal of Mathematics and Mathematical Sciences

Sur les retardateurs

Thierry Bousch (2007)

Annales de l'I.H.P. Probabilités et statistiques

Symmetries of control systems

Alexey Samokhin (1996)

Banach Center Publications

Symmetries of the control systems of the form $u_{t} = f (t, u, v)$ , $u \in ℝ^{n}$ , $v \in ℝ^{m}$ are studied. Some general results concerning point symmetries are obtained. Examples are provided.

Symmetry in Architecture

Kim Williams (1999)

Visual Mathematics

Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body

Zapiski naucnych seminarov POMI

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Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays.

Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.

Stability, instability and complex behavior in macrodynamic models with policy lag.

Stage-structured impulsive $S I$ model for pest management.

Staircase baker's map generates flaring-type time series.

Steepest descent method on a Riemannian manifold: the convex case.

Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity

Subthreshold domain of bistable equilibria for a model of HIV epidemiology.

Sur les retardateurs

Symmetries of control systems

Symmetry in Architecture

Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body

Synchronization of spatiotemporal chaos using nonlinear feedback functions.

Synchronization of strongly coupled neural networks.

Synchronizing spatiotemporal chaos by introducing a finite flat region in the local map.

Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory

Currently displaying 21 – 37 of 37