Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems

Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems

This study investigates the multistability phenomenon and coexisting attractors in the modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form. The analytical conditions for existence of periodic solutions in the integer-order system via Hopf bifurcation are discussed. I...

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Bibliographic Details
Main Authors: A. E. Matouk, T. N. Abdelhameed, D. K. Almutairi, M. A. Abdelkawy, M. A. E. Herzallah
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
integer-order MAVPD system
fractional-order
chaos
self-excited attractors
hidden attractors
Online Access:https://www.mdpi.com/2227-7390/11/3/591

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