TITLE

Love Emotions between Laura and Petrarch -- an Approach by Mathematics and System Dynamics

AUTHOR(S)
Breitenecker, Felix; Judex, Florian; Popper, Nikolas; Breitenecker, Katharina; Mathe, Anna; Mathe, Andreas
PUB. DATE
December 2008
SOURCE
Journal of Computing & Information Technology;Dec2008, Vol. 16 Issue 4, p255
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Laura, a very beautiful but also mysterious lady, inspired the famous poet Petrarch for poems, which express ecstatic love as well as deep despair. F. J. Jones -- a scientist for literary work -- recognized in these changes between love and despair an oscillating behaviour -- from 1328 to 1350 -- which he called Petrarch's emotional cycle. The mathematician S. Rinaldi investigated this cycle and established a mathematical model based on ordinary differential equation: two coupled nonlinear ODEs, reflecting Laura's and Petrarch's emotions for each other, drive an inspiration variable, which coincides with Petrarch's emotional cycle. These ODEs were the starting point for the investigations in two directions: mapping the mathematical model to a suitable modelling concept, and trying to extend the model for love dynamics in modern times (F. Breitenecker et al.). This contribution introduces and investigates a modelling approach for love dynamics and inspiration by means of System Dynamics, for Laura's and Petrarch's emotions as well as for a modern couple in love. In principle, emotions and inspiration emerge from a source and are fading into a sink. But the controlling parameters for increase and decrease of emotion create a broad variety of emotional behaviour and of degree of inspiration, because of the nonlinearities. Experiments including an implementation of this model approach and selected simulations provide interesting case studies for different kinds of love dynamics -- attraction, rejection and neglect -- stable equilibria and chaotic cycles.
ACCESSION #
36030738

 

Related Articles

  • Mathematical Modeling and Analysis of Tumor Therapy with Oncolytic Virus. Agarwal, Manju; Bhadauria, Archana S. // Applied Mathematics;Jan2011, Vol. 2 Issue 1, p131 

    In this paper, we have proposed and analyzed a nonlinear mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations. Positive equilibrium points of the system are investigated and their...

  • Problems of the Theory of Rated Stability. Zubov, Sergei V. // Southeast Asian Bulletin of Mathematics;2000, Vol. 24 Issue 1, p155 

    Abstract. Consider a new concept of stability of the so-called rated motion of a system of an ordinary differential equations. A rated motion need not be a solution of this system at all. In terms of Lyapunov's direct method, formulate and prove certain statements about rated stability,...

  • A Note on the Theory of Motion of an Articulated Truck. Antonyuk, E. Ya.; Matiyasevich, V. M. // International Applied Mechanics;Jul2002, Vol. 38 Issue 7, p886 

    A mathematical model of an n-link vehicle is described. It is based on the D'Alembert�Lagrange equations and the use of the instantaneous velocity centers of isolated links resulted from the constraints imposed on the system. The model, consisting of typical elements, is comparatively...

  • A Note on the Theory of Motion of an Articulated Truck. Antonyuk, E. Ya.; Matiyasevich, V. M. // International Applied Mechanics;Jul2002, Vol. 38 Issue 7, p886 

    A mathematical model of an n-link vehicle is described. It is based on the D'Alembert–Lagrange equations and the use of the instantaneous velocity centers of isolated links resulted from the constraints imposed on the system. The model, consisting of typical elements, is comparatively...

  • LAWS OF DETERMINATION OF FINE MATERIALS SUCTION LIMITS IN SUBMARINE SUCTION DREDGE FACE. Bondarenko, A. A.; Zapara, Ye. S. // Scientific Bulletin of National Mining University;2012, Issue 4, p59 

    Purpose. To establish laws of determination of the pulp suction scope and the suction stream speed at the suction area border of the submarine face for soil particles to be in equilibrium. Methodology. The theory of grainy material single particles transfer by a duplex heterogeneous stream in...

  • THE CORRELATION BETWEEN THE SCIENTIFIC PROCESS AND CREATIVE THINKING SKILLS OF THE PRESERVICE TEACHERS. Hancer, Ahmet Hakan // International Journal of Academic Research;May2013, Vol. 5 Issue 3, p240 

    This study aims to determine the level of scientific process and creative thinking skills of preservice teachers receiving education in the department of Elementary Mathematics Teacher Education (EMT), Science Teacher Education (ST) and Classroom Teacher Education (CT) and the relation between...

  • An approach to constructing mathematical models of moving mechanical systems under uncertainty. Martynyuk, A.; Slyn’ko, V. // International Applied Mechanics;Oct2007, Vol. 43 Issue 10, p1157 

    The paper outlines an approach to constructing a mathematical model of moving mechanical systems under uncertainty. Generalized fuzzy differential equations are used to prove that the model is mathematically correct. The motion of a control oscillator under uncertainty is considered as an example

  • THEORETICAL STUDY OF MATERIAL DRYING COEFFICIENT. Aboltins, Aivars // Engineering for Rural Development - International Scientific Con;2013, p153 

    The purpose of this work is theoretically based methodology to determine the drying coefficient of porous material. Using the mathematical model of thick grain layer drying process, a methodology of porous material thin layer drying coefficient determination, using the experimental data, is...

  • The Pest Management Model with Impulsive Control. Yan Song; Xuejuan Wang; Wei Jiang // Applied Mechanics & Materials;2014, Issue 519-520, p1299 

    Based on integrated control strategy with spraying pesticides and releasing natural enemies at different fixed moments, we establish a pest management model with impulsive control. Using Floquet theorem of impulsive differential quations and comparison theorem, we obtain the sufficient...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics