ABSTRACT We considered the evolutional problems in two-dimensional autonomous system. We showed that the bifurcating steady solutions are obtained from the points of intersection of the two conic sections and we used the implicit function theorem to justify their existence, and also we applied the Lyapunov theorem to establish their stability.
CONTENTS
Title Page i
Certification ii
Dedication iii
Acknowledgement iv
Contents v
Abstract vi
Chapter One INTRODUCTION 1
Chapter Two LITERATURE REVIEW 6
Chapter Three STABILITY OF LINEAR SYSTEMS 12
Chapter Four BIFURCATION AND STABILITY OF STEADY
SOLUTIONS OF EVOLUTION EQUATIONS 28
Chapter Five FURTHER WORK ON BIFURCATION AND
STABILITY 43
CONCLUSION 48
APPENDIX 49
REFERENCES 56
CHRISTIAN, E (2022). Bifurcation and Stability of Steady Solutions of Evolution Equations. Afribary. Retrieved from https://afribary.com/works/bifurcation-and-stability-of-steady-solutions-of-evolution-equations
CHRISTIAN, EZE "Bifurcation and Stability of Steady Solutions of Evolution Equations" Afribary. Afribary, 19 Oct. 2022, https://afribary.com/works/bifurcation-and-stability-of-steady-solutions-of-evolution-equations. Accessed 23 Apr. 2024.
CHRISTIAN, EZE . "Bifurcation and Stability of Steady Solutions of Evolution Equations". Afribary, Afribary, 19 Oct. 2022. Web. 23 Apr. 2024. < https://afribary.com/works/bifurcation-and-stability-of-steady-solutions-of-evolution-equations >.
CHRISTIAN, EZE . "Bifurcation and Stability of Steady Solutions of Evolution Equations" Afribary (2022). Accessed April 23, 2024. https://afribary.com/works/bifurcation-and-stability-of-steady-solutions-of-evolution-equations