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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 ...
On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
Dynamical System Short-wave perturbations
2010/4/1
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability...
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...
Soil nutrient cycles as a nonlinear dynamical system
Soil nutrient cycles nonlinear dynamical system
2009/11/11
An analytical model for the soil carbon and nitrogen cycles is studied from the dynamical system point of view. Its main nonlinearities and feedbacks are analyzed by considering the steady state solut...
Deep bore well water level fluctuations in the Koyna region,India:the presence of a low order dynamical system in a seismically active environment
water level fluctuations low order dynamical system seismically active environment
2009/10/30
Water level fluctuations in deep bore wells in the vicinity of seismically active Koyna region in western India provides an opportunity to understand the causative mechanism underlying reservoir-trigg...
A non-ergodic phenomenon for some random dynamical system
A non-ergodic phenomenon some random dynamical system
2009/9/22
In [2] Jajte formulated the following question:
Let h,(x) and hi (x) be homeomorphisms of the interval LO, 11
onto itself. Is it true that for any ~ � 1 01,1 and almost any t ~ ( 01,)
there exists ...
LIMIT THEOREMS FOR STOCHASTIC DYNAMICAL SYSTEM ARISING IN ISING MODEL ANALYSIS
Markov chain random transformation weak convergence Ising model wetting
2009/9/18
A simple stochastic dynamical system defined on the space
of doubly-infinite sequences of real numbers is considered. Limit theorems
for this system are proved. The results are applied to the physic...
We present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter...