Introduces number operators with a focus on the relationship between quantum mechanics
and social science Mathematics is increasingly applied to classical problems in finance …

Following a suggestion of Strogatz, this paper examines a sequence of dynamical models
involving coupled ordinary differential equations describing the time-variation of the love or …

A sequence of models for the time evolution of one's happiness in response to external
events is described. These models with added nonlinearities can produce stable oscillations …

Through the analysis of a mathematical model we construct in this paper the full catalog of
possible love stories among standard (ie secure and non-synergic) individuals. For this, we …

In the present work, we first modify the Sprott's nonlinear love triangle model by introducing
the competition term and find that the new system also exhibits chaotic behavior. Then, to …

A love dynamical models with nonlinear couples and two delays is considered. Local
stability of this model is studied by analyzing the associated characteristic transcendental …

A mathematical model composed of two differential equations, which qualitatively describe
the dynamics of love between secure individuals, is presented in this paper with two goals …

This book shows, for the very first time, how love stories—a vital issue in our lives—can be
tentatively described with classical mathematics. Focus is on the derivation and analysis of …

We discuss two models of interpersonal interactions with delay. The first model is linear, and
allows the presentation of a rigorous mathematical analysis of stability, while the second is …

Following previous work, this paper introduces a new dynamical model involving two
differential equations describing the time variation of behavior displayed by a couple in a …