Modeling love dynamics / Sergio Rinaldi [and four others].

Format:

Book

Author/Creator:

Rinaldi, S. (Sergio), 1940- author.

Contributor:

Rinaldi, S. (Sergio), 1940-

Series:

World Scientific series on nonlinear science. Monographs and treatises ; Series A, v. 89.

World Scientific series on nonlinear science. Series A, Monographs and treatises ; volume 89

Language:

English

Subjects (All):

Love.

Love--Mathematical models.

Love--Psychological aspects.

Physical Description:

1 online resource (256 p.)

Place of Publication:

New Jersey : World Scientific, [2016]

Language Note:

English

Summary:

"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 reliable models that allow one to formally describe the expected evolution of love affairs from the initial state of indifference to the final romantic regime. The models are in full agreement with the basic philosophical principles of love psychology. Eight chapters are theoretically oriented and discuss the romantic relationships between important classes of individuals identified by particular psychological traits. The remaining chapters are devoted to case studies described in classical poems or in worldwide famous films."-- Provided by publisher.

Contents:

Contents; Preface; 1. Can we model love stories?; 1.1 Graphical representation of love stories; 1.2 The models; 1.3 ODE models; 1.4 Individual characteristics: Oblivion, reaction to appeal, and reaction to love; 1.5 Fromindividuals to couples; 1.6 Summary of results; Simple models; 2. Linear models and their properties; 2.1 Historical premise; 2.2 Five properties of the model; 2.3 Consequences at community level; 3. Couples composed of secure and unbiased individuals; 3.1 The model; 3.2 Alternative stable states; 3.3 Bifurcation analysis; 3.4 Temporary bluffing in love affairs

4. Roxane and Cyrano4.1 The story of Roxane and Cyrano; 4.2 The model of Roxane and Cyrano; 4.3 Model validation; 4.4 Conclusions; 5. The discovery of hidden components of the appeal; 5.1 Catastrophic bifurcations; 5.2 Beauty and The Beast; 5.3 Elizabeth and Darcy; 5.4 Conclusions; 6. Couples composed of insecure and unbiased individuals; 6.1 The model ; 6.2 The case of identical individuals; 6.3 The general case; 6.4 Conclusions; 7. Scarlett and Rhett; 7.1 The love story between Scarlett and Rhett; 7.2 The model ; 7.3 Validation of the model; 7.4 Conclusions; 8. Romantic cycles

8.1 Introduction8.2 No bias implies no cycles; 8.3 No insecurity implies no cycles; 8.4 A first example of romantic cycle; 8.5 A second example of romantic cycle; 9. Kathe and Jules; 9.1 The story; 9.2 The Kathe-Julesmodel; 9.3 Analysis and results; 10. Kathe and Jim; 10.1 The Kathe-Jimmodel; 10.2 Analysis and results; Complex models; 11. Environmental stress and romantic chaos; 11.1 Do couples replicate environmental stresses?; 11.2 Canonical responses to stress; 11.3 Romantic chaos; 11.4 An example of romantic chaos; 12. Extra emotional dimensions; 12.1 Introduction; 12.2 The model

12.3 Analysis and results12.4 Slow-fast dynamics; 13. Laura and Francesco; 13.1 Petrarch's romantic cycle; 13.2 A model of Laura and Francesco; 13.3 Calibration of the model; 13.4 The L-F cycle and its validation; 13.5 Reliability of the results and discussion; 13.6 The great conjecture; 14. Triangular love stories and unpredictability; 14.1 Triangular relationships; 14.2 A catalog of triangles; 14.3 Jealousy, conflict, and unpredictability; 14.4 Conclusions and discussion; 15. Kathe, Jules, and Jim; 15.1 The story; 15.2 The free-love hypothesis; 15.3 The Kathe-Jules-Jimmodel

15.4 Analysis and results15.5 The genius of Truffaut; Appendix A Appendix; A.1 A simple illustrative example; A.2 Dynamical systems and state portraits; A.3 Structural stability; A.4 Bifurcations as collisions; A.5 Local bifurcations; A.6 Global bifurcations; A.7 Catastrophes, hysteresis, and cusp; A.8 Routes to chaos; A.9 Numerical methods and software packages; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

981-4696-32-3