Search results for "Number representation"

showing 2 items of 2 documents

An operator-like description of love affairs

2010

We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibi…

Physics - Physics and SocietyPure mathematicsLove affairDynamical systems theoryApplied MathematicsBosonic operators; Heisenberg-like dynamics; Dynamical systems; Numerical integration of ordinary differential equationsLinear modelFOS: Physical sciencesPhysics and Society (physics.soc-ph)Canonical commutation relationNonlinear systemTheoretical physicsNumber representationAlice and BobSettore MAT/07 - Fisica MatematicaMathematics
researchProduct

Dynamics of closed ecosystems described by operators

2014

Abstract We adopt the so-called occupation number representation , originally used in quantum mechanics and recently adopted in the description of several classical systems, in the analysis of the dynamics of some models of closed ecosystems. In particular, we discuss two linear models, for which the solution can be found analytically, and a nonlinear system, for which we produce numerical results. We also discuss how a dissipative effect could be effectively implemented in the model.

Pure mathematicsHeisenberg-like dynamicsEcological ModelingClosed ecological systemDynamics (mechanics)Linear modelFOS: Physical sciencesFermionic operatorClosed ecosystemNonlinear systemNumber representationBiological Physics (physics.bio-ph)Dissipative systemStatistical physicsPhysics - Biological PhysicsClosed ecosystems; Fermionic operators; Heisenberg-like dynamicsSettore MAT/07 - Fisica MatematicaMathematics
researchProduct