We study the environmental and economic effects of public abatement in the presence of multiple stable steady-state ecological equilibria featuring reversible hysteresis. The isocline for the stock of pollution possesses two stable branches. Assuming that the ecology is initially located on the...

This study analyses the dynamics of a two-dimensional overlapping generations economy with endogenous labour supply à la Reichlin (J Econ Theory 40(1):89–102, <CitationRef CitationID="CR52">1986</CitationRef>) and aspirations. We show that the degree of nonlinearity of consumption externality in individual utility is responsible for the...</citationref>

The objective of this study is to develop soft computing and data reconstruction techniques for modeling monthly California Irrigation Management Information System (CIMIS) evapotranspiration (ET<Subscript>o</Subscript>) at two stations, U.C. Riverside and Durham, in California. The nonlinear dynamics of monthly CIMIS...</subscript>

The residence time around different parts of a chaotic attractor is studied experimentally for nonlinear dynamical system with a double-scroll. It is shown that the dynamics of jumping from one scroll of the attractor to the other produces a distinct low-frequency peak in the otherwise...

We discuss the relation between ensemble and time averages for quasistationary states of low-dimensional symplectic maps that present remarkable analogies with similar states detected in many-body long-range-interacting Hamiltonian systems.

A macroscopic transport equation has been derived from the underlying microscopic dynamics and a general fluctuation-dissipation relation is proposed for a microscopic system composed of the collective degrees of freedom coupled to finite intrinsic ones through a weak interaction. With the aid...

Time complexity is associated with sensitive dependence on initial conditions and severe intrinsic predictability limits, in particular, the ‘butterfly effect’ paradigm: an exponential error growth and a corresponding characteristic predictability time. This was believed to be the universal...

We describe a novel mechanism for inducing traveling-wave attractors in rings of coupled maps. Traveling waves are easily produced when parameters controlling local dynamics vary from site to site. We also present some statistical results regarding the distribution of periodic time-evolutions.

In this paper, we construct low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A...