Yo-Yo Jerk Dynamics in the Vicinity of the Lowest Point

2020 ◽  
Vol 58 (9) ◽  
pp. 656-658
Author(s):  
Leonid Minkin ◽  
Daniel Sikes
Keyword(s):  
Jerk Dynamics

scholarly journals Noncommutative Sprott systems and their jerk dynamics

2018 ◽  
Vol 33 (18) ◽  
pp. 1850100 ◽  
Author(s):  
Marcin Daszkiewicz
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Sprott A System ◽  
Jerk Dynamics

In this paper, we provide the noncommutative Sprott models. We demonstrate, that effectively, each of them is described by a system of three complex, ordinary and nonlinear differential equations. Apart from that, we find for such modified models the corresponding (noncommutative) jerk dynamics as well as we study numerically as an example, the deformed Sprott-A system.

Vibration control by nonlocal feedback and jerk dynamics

2010 ◽  
Vol 63 (1-2) ◽  
pp. 159-169 ◽  
Author(s):  
Attilio Maccari
Keyword(s):  
Vibration Control ◽  
Jerk Dynamics

scholarly journals A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via backstepping technique and MultiSim circuit design

2021 ◽  
Vol 11 (4) ◽  
pp. 2941
Author(s):  
Aceng Sambas ◽  
Sundarapandian Vaidyanathan ◽  
Irene M. Moroz ◽  
Babatunde Idowu ◽  
Mohamad Afendee Mohamed ◽  
...  
Keyword(s):  
Circuit Design ◽  
Qualitative Agreement ◽  
Research Study ◽  
Equilibrium Points ◽  
Three Dimensional ◽  
Phase Portraits ◽  
Backstepping Technique ◽  
Good Qualitative Agreement ◽  
Jerk System ◽  
Jerk Dynamics

<span>This paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. By modifying the Genesio-Tesi jerk dynamics (1992), a new jerk system is derived in this research study. The new jerk model is equipped with multistability and dissipative chaos with two saddle-foci equilibrium points. By invoking backstepping technique, new results for synchronizing chaos between the proposed jerk models are successfully yielded. MultiSim software is used to implement a circuit model for the new jerk dynamics. A good qualitative agreement has been shown between the MATLAB simulations of the theoretical chaotic jerk model and the MultiSIM results</span>

scholarly journals On the Possibility of the Jerk Derivative in Electrical Circuits

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
J. F. Gómez-Aguilar ◽  
J. Rosales-García ◽  
R. F. Escobar-Jiménez ◽  
M. G. López-López ◽  
V. M. Alvarado-Martínez ◽  
...  
Keyword(s):  
Differential Equation ◽  
Order Differential Equation ◽  
Rate Of Change ◽  
Third Order ◽  
Time Rate ◽  
Electrical Circuits ◽  
Lc Circuit ◽  
Fractional Differential ◽  
Jerky Dynamics ◽  
Jerk Dynamics

A subclass of dynamical systems with a time rate of change of acceleration are called Newtonian jerky dynamics. Some mechanical and acoustic systems can be interpreted as jerky dynamics. In this paper we show that the jerk dynamics are naturally obtained for electrical circuits using the fractional calculus approach with order γ. We consider fractional LC and RL electrical circuits with 1⩽γ<2 for different source terms. The LC circuit has a frequency ω dependent on the order of the fractional differential equation γ, since it is defined as ω(γ)=ω0γγ1-γ, where ω0 is the fundamental frequency. For γ=3/2, the system is described by a third-order differential equation with frequency ω~ω03/2, and assuming γ=2 the dynamics are described by a fourth differential equation for jerk dynamics with frequency ω~ω02.

The Jerk Dynamics of Chua's Circuit

2014 ◽  
Vol 24 (06) ◽  
pp. 1450085 ◽  
Author(s):  
Arturo Buscarino ◽  
Luigi Fortuna ◽  
Mattia Frasca
Keyword(s):  
Electronic Circuit ◽  
Complex Dynamics ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Jerk Dynamics

In this paper, the dynamics of Chua's circuit in jerk form is presented. It is proved that two forms of Chua's circuit in jerk dynamics can be derived. The electronic circuit of the simpler dynamics has been implemented. The link between Chua's circuit and the search for simple jerk circuits has been established, therefore, proposing complex dynamics (like that of Chua's circuit) in jerk form.

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