2. Присняков В.Ф., Приснякова Л.М.Человеческий капитал как интеллектуальная сила.• Опыт математического моделирования – Монография. - Днепропетровск. 2004. 225с

Излагается новое направление на стыке психологии, социологии, основывающееся на математизации психологических аспектов социальных процессов с применением достижений теории катастроф. Представлены методы и примеры построения моделей с определяющим влиянием интеллекта человека: образовательного пространства, информационного состояния индивидуума, эффективности интеллектуальной деятельности человека, его эмоциональной устойчивости. Развиваются идеи математического моделирования научного прогресса c позиций деятельности человека как звена социально-экономической системы. Выведены уравнения, описывающие столкновение цивилизаций, оппозиционное напряжение в стране, динамику степени доверия к власти. Работа раскрывает возможности применения теории катастроф к описанию различных кризисных явлений отдельного человека с его внутренним миром, и сообществ людей как составляющих политических, социальных, экономических систем. Отдельные разделы посвящены прикладным гуманитарным проблемам: модели распада империй по теории Р. Коллинза, криминализации общества, тенизации экономики, теории воспроизводства рабочей силы. Основной акцент сделан на использовании катастрофы типа сборка для описания взаимосвязи информационных потоков в реализацию интеллектуального потенциала человека в различных системах.

Для научных сотрудников, занимающихся математическим моделированием психологических и социальных процессов, преподавателей, аспирантов, студентов.
Ил. 10. Табл. 57. Библ. 126.

2. Prisniakov V.F., Prisniakova L.M.Human capital as intellectual force. • Experience of mathematical modelling. – Dnipropetrovsk. 2004. 225p.

The new direction on a junction of of psychology, of the sociology, which is based on mathematization of psychological aspects of social processes with application of achievements of the catastrophe theory is stated. Methods and examples of construction of models are submitted with determining influence of intelligence of the person – educational space, an information condition of an individual, efficiency of intellectual activity of the person, his emotional stability. Ideas of mathematical modelling of scientific progress develop according to positions of activity of the person as link of social and economic system. The equations describing collision of civilizations, an oppositional pressure in the country, dynamics of a degree of trust to authority are deduced. Work opens opportunities of application of the catastrophe theory to the description of the various crisis phenomena – the separate person with his private world, and communities of people as components of political, social, economic systems. Separate sections are devoted to such humanitarian applied problems as model of the theory of disintegration of empires R. Collins, criminalization of a society, becoming of shady economy, theories of reproduction of a labour. The basic accent is made on use of catastrophe of cusp for the description of interrelation of information streams in realization of a mental potential of the person in various systems.

Monograph is dedicated for the scientific employees studying modeling of psychological and social processes, teachers, post-graduates, students.

CONTENTS

Introduction

5

1. Models of the catastrophe theory

12

2. To an appreciation of the human capital by method of the catastrophe theory

20

3. About an age component of the human capital and ways of its savings and increase

30

3.1. Introduction

30

3.2. Initial preconditions

32

3.3. The equation of an information condition of an individual

34

3.4. The analysis of the equation of an information and power condition

43

Conclusions 1.

49

Conclusions 2. About definition of subjectively experienced time as measures of intelligence

52

4. Model of educational space

55

4.1. Model of an intellectual condition of a society

55

4.1.1. Introduction

55

4.1.2. The equation of a condition of national educational space

56

4.1.3. The quantitative analysis

60

4.2. Model of activity of the teacher

63

5. Models of a sociopolitical condition of a society

68

5.1. The equation of a sociopolitical condition of a society

68

5.2. Mathematical model of an oppositional pressure in the country

74

5.3. About collision of civilizations as catastrophe

82

5.3.1. Introduction

82

5.3.2. The equation of a condition of a clerical society

85

3. The analysis

89

6. About model of criminalization of a society as catastrophe

95

Introduction

95

6.1. Initial preconditions.

96

6.2. Mathematical model.

97

6.3. Factor of quality of an educational system.

99

6.4. The analysis

101

6.5. About the formula of detection of crimes

106

6.6. The conclusion

109

7. Emotional stability as the factor of efficiency of human activity

110

8. About model of reproduction of a manpower

125

8.1. Introduction

125

8.2. Birth rate as quantum-mechanical analogy

129

8.3. Comparison of calculations with the statistical data

133

Conclusions

139

9. Human resources as the factor of disintegration of the states

141

9.1. Construction of border of stability by a method of D-splitting

141

9.2. Disintegration of the state as catastrophe

146

10. Scientific and technical progress as realization of a mental potential

150

10.1. Model of scientific and technical progress

152

10.2. Progress of aviation engines

155

10.3. Scientific and technical progress of mankind

157

Conclusion

161

11. Shadow economy as realization of criminal intellect

162

11.1. Model of corruption as destabilizing the factor of economy

162

11.1.1 Introduction

162

11.1.2. About the control of corruption

164

11.1.3. The corruption tax

164

11.1.4. Corruption as the factor of destabilization of economy

168

11.2. About an analytical estimation of size of criteria of reception of incomes

172

12. Becoming scientific space image of Ukraine as result of intellectual force of the country

176

Appendix. Reproduction alive as bifurcation

193

1. Mechanics of contact of sexual cells

193

2. Thermodynamics of fertilisation

195

3. Fertilisation as catastrophe

202

Epilogue

211

Referances

215

Resume

222