The paper relates to the burgeoning literature that combines an interest rate reaction function of the central bank with an IS equation and a Phillips curve relationship. It takes up the deterministic prototype model advocated by J.B.Taylor and D.Romer and, under the assumption of open market operations, makes the implied dynamics of bonds and high-powered money explicit. As a minor extension, ...

Predicting dynamo self-generation in liquid metal experiments has been an ongoing question for many years. In contrast to simple dynamical systems for which reliable techniques have been developed, the ability to predict the dynamo capacity of a flow and the estimate of the corresponding critical value of the magnetic Reynolds number (the control parameter of the instability) has been elusive, ...

Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.

Modeling and simulation of nonlinear systems under chaotic behavior is presented. Nonlinear systems and their relation to chaos as a result of nonlinear interaction of different elements in the system are presented. Application of chaotic theory for power systems is discussed through simulation results. Simulation of somemathematical equations, e.g. Vander Pol’s equation, Lorenz’s equation, Duf...

The phase space trajectories of many body systems charateristic of simple fluids are highly unstable. We quantify this instability by a set of Lyapunov exponents, which are the rates of exponential divergence, or convergence, of initial (infinitesimal) perturbations along carefully selected directions in phase space. It is demonstrated that the perturbation associated with the maximum Lyapunov ...

A mathematical model for learning a nonlinear line of attractions is presented in this paper. This model encapsulates attractive fixed points scattered in the state space representing patterns with similar characteristics as an attractive line. The dynamics of this nonlinear line attractor network is designed to operate between stable and unstable states. These criteria can be used to circumven...

The joint evolution of female mating preferences and secondary sexual characters of males is modeled for polygamous species in which males provide only genetic material to the next generation and females have many potential mates to choose among. Despite stabilizing natural selection on males, various types of mating preferences may create a runaway process in which the outcome of phenotypic ev...

Systems of hard dumbbells are, arguably, the simplest model for a molecular fluid composed of linear molecules. We study here the Lyapunov instability for two-dimensional systems containing qualitatively different degrees of freedom, translation and rotation. We characterize this instability by the Lyapunov spectrum, which measures the rate of exponential divergence, or convergence, of infinite...

We develop efficient numerical methods for performing many-body Brownian dynamics simulations of a recently observed fingering instability in an active suspension of colloidal rollers sedimented above a wall [M. Driscoll, B. Delmotte, M. Youssef, S. Sacanna, A. Donev, and P. Chaikin, Nat. Phys. (2016), preprint arXiv:1609.08673. We present a stochastic Adams-Bashforth integrator for the equatio...

This study revisits Burdett, Imai and Wright's model of endogeneously unstable relationships [1]. In BIW, bilateral relationships are characterized as stable or unstable according to whether matched agents continue to search for new partners. Endogenous instability hinges on mutually reinforced beliefs about the search and acceptance behaviour of match partners in equilibrium. The model predict...