Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems-Reference-Cited by-同舟云学术

Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems

Published:2015-12-15 Issue:13 Volume:25 Page:1550182
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Jafari Sajad¹,Nazarimehr Fahimeh¹,Sprott J. C.²,Golpayegani Seyed Mohammad Reza Hashemi¹

Affiliation:

1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

2. Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Abstract

Perpetual Points (PPs) have been introduced as an interesting new topic in nonlinear dynamics, and there is a hypothesis that these points can determine whether a system is dissipative or not. This paper demonstrates that this hypothesis is not true since there are counterexamples. Furthermore, we explain that it is impossible to determine dissipation of a system based only on the structure of the system and its equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415501825

Reference37 articles.

1. Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems

2. Dynamics of impact oscillator with dry friction

3. Co-existing attractors of impact oscillator

4. Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits

5. Perpetual points and hidden attractors in dynamical systems

Cited by 44 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A hyperchaotic memristive system with extreme multistability and conservativeness;Nonlinear Dynamics;2024-01-24

2. A novel 5D memristor conservative chaotic system with multiple forms of hidden flows;Physica Scripta;2023-12-29

3. A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors;International Journal of Bifurcation and Chaos;2023-10

4. A new 3D hidden conservative chaotic system with multistability and its circuit implementation;Physica Scripta;2023-06-22

5. A Conservative Hyperchaostic Memristor System with Extreme Multistability;2022-11-29