June 2024
Intermediate to advanced
250 pages
9h 12m
English
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4: Elucidating chaos in dynamical systems via fractional calculus
Abstract
This chapter focuses on understanding chaos in dynamical systems by employing fractional calculus. The dynamics of fractional-order chaotic systems are explored, with a specific examination of chaos in commensurate-order fractional systems and incommensurate-order fractional systems. The chapter then delves into the practical applications of chaos indicators in fractional dynamics systems, discussing various tools available for detecting chaos and their effectiveness. The model formulation is presented, followed by an analysis of the equilibrium points and the proof of the existence and uniqueness of solutions for the system. Numerical approaches using the Caputo–Fabrizio ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.