Local Real Estate Markets in Poland as a Network of Damped Harmonic Oscillators

Damped Harmonic Oscillators in the Holomorphic Representation

Quantum dynamical semigroups are applied to the study of the time evolution of harmonic oscillators, both bosonic and fermionic. Explicit expressions for the density matrices describing the states of these systems are derived using the holomorphic representation. Bosonic and fermionic degrees of freedom are then put together to form a supersymmetric oscillator; the conditions that assure supers...

Hyperchaotic circuit with damped harmonic oscillators

A simple fourth-order hyperchaotic circuit with damped harmonic oscillators is described. ANP3 and PSpice simulations including an eigenvalue study of the linearized Jacobian are presented together with a hardware implementation. The circuit contains two inductors with series resistance. two ideal capacitors and one non-linear active conductor. The Lyapunov exponents are presented to confirm th...

Bubbles in Real Estate Markets

Uniform Asymptotic Stability of Time-varying Damped Harmonic Oscillators

Abstract. This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator x′′ + h(t)x′ + ωx = 0 is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable. These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditi...

Real estate markets and bank distress

We investigate the relationship between real estate markets and bank distress among German universal and specialized mortgage banks between 1995 and 2004. Higher house prices increase the value of collateral, which reduces the probability of bank distress (PDs). But higher prices at given rents may also indicate excessive expectations regarding the present value of real estate assets, which can...