Chaos and the logistic equation

ISBN-13: 9786200787132 / Angielski / Miękka / 2020 / 56 str.

Akbari Jahan;Ranjita Das

Opis

Chaos is a complex behavior observed in many systems. This book discusses some significant analyses of the logistic equation of the chaotic systems and their behaviors have been studied graphically. In Chapter 1, a brief introduction on chaos is given. Deterministic chaos and the application of chaos theory are also discussed. Chapter 2 gives a comparison of the logistic model and the exponential model. Chapter 3 discusses the logistic equation and the logistic map. In Chapter 4, the bifurcation diagrams are obtained from the logistic equation for different sets of parameters. Chapter 5 is connected with the summary and conclusion of the book. Appendix follows Chapter 5 and Bibliography is given at the end of the book. It has been observed that a small change in initial condition leads a system to chaos; and that sensitivity to initial condition in chaotic systems is verified by the logistic equation and visualized by the bifurcation diagram.

O autorze

Jahan, Akbari
Akbari Jahan: M.Sc. Physics (University of Madras, Chennai), Ph.D. (Gauhati University, Guwahati). Presently serving as Assistant Professor of Physics in North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India. Ranjita Das: M.Sc. Physics (NERIST).