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Interior Crisis Route to Extreme Events in a Memristor-Based 3D Jerk System
International Journal of Bifurcation and Chaos in Applied Sciences and EngineeringIn dynamical systems, events that deviate significantly from usual or expected behavior are referred to as extreme events. This paper investigates the mechanism of extreme event generation in a 3D jerk system based on a generalized memristive device.
Gayathri Vivekanandan +4 more
semanticscholar +1 more source
Jerk derivative feedforward control for motion systems
Proceedings of the 2004 American Control Conference, 2004This work discusses reference trajectory relevant model based feedforward design. For motion systems which contain at least one rigid body mode and which are subject to reference trajectories with mostly low frequency energy, the proposed feedforward controller improves tracking performance significantly. The feedforward controller may be of much lower
Boerlage, M.L.G. +2 more
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A unique jerk system with hidden chaotic oscillation
Nonlinear Dynamics, 2016An equilibrium-free piecewise linear jerk system is obtained by a signum operation based on the Sprott R system, which gives hidden oscillation of large basin of attraction. The new proposed chaotic system has a unique structure with an independent parameter for partial amplitude control, which experimentally can be realized in the circuit by a ...
Peng Li +4 more
openaire +1 more source
, 2021
Jerk chaotic systems have many applications in science and engineering. In the past few decades, significant attention has been paid on the modeling of new jerk differential equations arising in engineering.
S. Vaidyanathan +3 more
semanticscholar +1 more source
Jerk chaotic systems have many applications in science and engineering. In the past few decades, significant attention has been paid on the modeling of new jerk differential equations arising in engineering.
S. Vaidyanathan +3 more
semanticscholar +1 more source
, 2021
Jerk systems are important classes of 3-D mechanical systems. The analysis and their control of jerk dynamical systems have good applications in engineering. This chapter proposes a new 3-D chaotic jerk system with two quadratic nonlinear terms.
A. Sambas +5 more
semanticscholar +1 more source
Jerk systems are important classes of 3-D mechanical systems. The analysis and their control of jerk dynamical systems have good applications in engineering. This chapter proposes a new 3-D chaotic jerk system with two quadratic nonlinear terms.
A. Sambas +5 more
semanticscholar +1 more source
, 2021
Mechanical systems such as jerk dynamical systems and their control constitute attractive research trend in the literature. This chapter aims to control chaotic behavior of a new jerk mechanical chaotic system with an egg-shaped strange attractor.
S. Vaidyanathan, V. Pham, A. Azar
semanticscholar +1 more source
Mechanical systems such as jerk dynamical systems and their control constitute attractive research trend in the literature. This chapter aims to control chaotic behavior of a new jerk mechanical chaotic system with an egg-shaped strange attractor.
S. Vaidyanathan, V. Pham, A. Azar
semanticscholar +1 more source
, 2021
Modeling and applications of jerk chaotic systems have received much attention in the chaos literature. A classical jerk system is the thermal dissipative chaotic system developed by Moore and Spiegel in 1966, which consists of just a cubic nonlinearity ...
S. Vaidyanathan +4 more
semanticscholar +1 more source
Modeling and applications of jerk chaotic systems have received much attention in the chaos literature. A classical jerk system is the thermal dissipative chaotic system developed by Moore and Spiegel in 1966, which consists of just a cubic nonlinearity ...
S. Vaidyanathan +4 more
semanticscholar +1 more source
Bifurcation and chaos in simple jerk dynamical systems
Pramana, 2005In recent years, it is observed that the third-order explicit autonomous differential equation, named as jerk equation, represents an interesting sub-class of dynamical systems that can exhibit many major features of the regular and chaotic motion. In this paper, we investigate the global dynamics of a special family of jerk systems {ie075-01}, whereG ...
Vinod Patidar, K. K. Sud
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020
This article introduces a new simple jerk system with sine hyperbolic nonlinearity which gives the hidden attractor. An autonomous simple implementation of jerk system experiences an important and striking feature of hidden attractors with both stable ...
Manoj Joshi, A. Ranjan
semanticscholar +1 more source
This article introduces a new simple jerk system with sine hyperbolic nonlinearity which gives the hidden attractor. An autonomous simple implementation of jerk system experiences an important and striking feature of hidden attractors with both stable ...
Manoj Joshi, A. Ranjan
semanticscholar +1 more source
A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers
International Journal of Bifurcation and Chaos, 2017A memristor is the fourth circuit element, which has wide applications in chaos generation. In this paper, a four-dimensional hyperchaotic jerk system based on a memristor is proposed, where the scroll number of the memristive jerk system is controllable.
Wang, Chunhua, Xia, Hu, Zhou, Ling
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