This paper introduces an intensive discussion for the dynamical model of the love triangle in
both integer and fractional-order domains. Three different types of nonlinearities soft, hard …

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 …

Three ordinary differential equations are proposed to model the dynamics of love between
Petrarch, a celebrated Italian poet of the 14th century, and Laura, a beautiful but married …

This paper proposes a minimal model composed of two ordinary differential equations to
describe the dynamics of love between two individuals. The equations take into account …

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 …

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 …

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 …

Current theories from biosocial (eg, the role of neurotransmitters in behavioral features),
ecological (eg, cultural, political, and institutional conditions), and interpersonal (eg …