A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control
Archives of Control Sciences, 2017 This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
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Feedrate planning for machining with industrial six-axis robots [PDF]
, 2010 The authors want to thank Stäubli for providing the necessary information of the controller, Dynalog for its contribution to the experimental validations and X.
BEAREE, Richard +3 more
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On geodesic paths and least-cost motions for human-like tasks [PDF]
, 2010 We are interested in ”human-like” automatic mo- tion generation. The apparent redundancy of the humanoid wrt its explicit tasks lead to the problem of choosing a plausible movement in the framework of redundant kinematics. Some results have been obtained
Chiron, Pascale +2 more
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Analytic expression for pull-or-jerk experiment [PDF]
, 2014 This work focuses on a theoretical analysis of a well-known inertia demonstration, which uses a weight suspended by a string with an extra string that hangs below the weight.
Shima, Hiroyuki
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A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design [PDF]
Archives of Control SciencesIn this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated.
Mohamad Afendee Mohamed +4 more
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Merging support system suppressing the jerk under the constraint of the merging zone
Nihon Kikai Gakkai ronbunshu, 2022 Merging in a highway is one of the most difficult driving tasks. In lane changing and merging, drivers consider about safety and longitudinal ride comfort. In addition, drivers must finish merging in the merging zone.
Kazuhiro NISHIWAKI +2 more
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Synchronization Limits of Chaotic Circuits [PDF]
, 2014 Through system modeling with electronic circuits, two circuits were constructed that exhibit chaos over a wide ranges of initial conditions. The two circuits were one that modeled an algebraically simple “jerk” function and a resistor-inductor-diode (RLD)
Addison, Stephen R., Church, C. M.
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Noncommutative Sprott systems and their jerk dynamics [PDF]
Modern Physics Letters A, 2018 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 ...
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On Hopf and Fold Bifurcations of Jerk Systems
Mathematics, 2023 In this paper we consider a jerk system x˙=y,y˙=z,z˙=j(x,y,z,α), where j is an arbitrary smooth function and α is a real parameter. Using the derivatives of j at an equilibrium point, we discuss the stability of that point, and we point out some local codim-1 bifurcations.
Cristian Lăzureanu, Jinyoung Cho
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Experimental Validation of a Chaotic Jerk Circuit Based True Random Number Generator
Chaos Theory and Applications, 2022 A method for true random number generation by directly sampling a high frequency chaotic jerk circuit is explored. A method for determination of the maximum Lyapunov exponent, and thus the maximum bit rate for true random number generation, of the jerk ...
Robert N. Dean +4 more
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