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Nonlinear parametric excitation of an evolutionary dynamical system
Evolutionary dynamics parametric excitation multiple scale perturbation method
2015/8/27
Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers de...
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
Abstract: This is the text from a talk at the Arbeitstagung 2011, which can serve as an introduction to arxiv:1009.0736 and arXiv:1007.0907. I first discuss how a global field is determined by a certa...
Computation of Lyapunov exponents for dynamical system with impact
Computation Lyapunov exponents dynamical system impact
2010/9/20
Computation of Lyapunov exponents for dynamical system with impact.
A discrete dynamical system for the short-range optimization strategy at collective Parrondo games
A discrete dynamical system the short-range optimization strategy
2010/11/12
We consider a collective version of Parrondo's games with probabilities parametrized by rho in (0,1) in which a fraction phi in (0,1] of an infinite number of players collectively choose and individu...
Small Random Perturbations of a Dynamical System with Blow-up
Small Random Perturbations Dynamical System
2010/11/22
We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove ...
We evaluate the stability analysis results obtained by two different ways: the neoclassical Solow model and the DSSM. We conclude that the most important advantage achieved with the construction of th...
Periodic-orbit analysis and scaling laws of intermingled basins of attraction in an ecological dynamical system
Periodic-orbit analysis scaling laws ecological dynamical system
2010/4/7
Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is...
Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion
nonautonomous stage structure dispersal
2007/12/10
A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory...
Dynamical System Topology Preserved in the Presence of Noise
topological horseshoes generalized quadrilateral indecomposable continua connected indecomposable sets shift dynamics noisy dynamical systems permanent set entrainment set destination set
2010/3/4
We first give a precise definition of the terms ``topological horseshoe'' and ``generalized quadrilateral'' and then examine the behavior of a homeomorphism F on a locally compact, separable, locally ...