Slow flow solutions and chaos control in an electromagnetic seismometer system

Lazzouni, Sihem; Siewe, M. Siewe; Kakmeni, F. M. Moukam; Bowong, Samuel

doi:10.1016/j.chaos.2005.08.061

Cited by 8 publications

(3 citation statements)

References 17 publications

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“…Next, we substitute (6) into (4). Then the error dynamics simplifies to e Ae Bv = +  (7) which is a single-input, linear time-invariant control system.…”

Section: Smc Results For Anti-synchronization Of Chaotic Systemsmentioning

confidence: 99%

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Sliding Mode Controller Design for the Anti-Synchronization of Hyperchaotic Lü Systems

Vaidyanathan¹

2013

IJCI

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“…Next, we substitute (6) into (4). Then the error dynamics simplifies to e Ae Bv = +  (7) which is a single-input, linear time-invariant control system.…”

Section: Smc Results For Anti-synchronization Of Chaotic Systemsmentioning

confidence: 99%

“…Chaos theory and chaos synchronization find many applications in quantum physics [1][2], population biology [3], chemical systems [4], secure communications [5][6], etc.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Controller Design for the Anti-Synchronization of Hyperchaotic Lü Systems

Vaidyanathan¹

2013

IJCI

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“…Because the equation has the periodic term excitation, we extend the stability concept from equilibrium point to periodic solution and discuss the stability of periodic solution [8]. Assume x ( t ) is a periodic solution of the original system, then it satisfies the difference equation:…”

Section: Controlling Of Duffing-van Der Pol Systemmentioning

confidence: 99%

Controlling Chaos by Bounded Self-Controlling Function Using Butterworth Filter Feedback

Jia²

2014

AMM

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Using the bounded sigmoid function and two-order Butterworth low-pass filter, a self-controlling feedback method for regulate the motion of a chaotic system is presented in this paper. It is shown that such controller has the advantage of being easy to implement based on the measurable input signals. A rigorous stability proof is provided from LaSalle Invariance theorem. Furthermore, the effectiveness and efficiency of the proposed feedback control strategy is illustrated by means of the numerical simulations of two-well Duffing Vander Pol oscillator. Finally, the result reveals that the enough large maximum amplitude results in a more possible regular domain in parameter space of the controlled oscillator.

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Resonance and vibration control of two-degree-of-freedom nonlinear electromechanical system with harmonic excitation

Amer

2015

Nonlinear Dyn

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Slow flow solutions and chaos control in an electromagnetic seismometer system

Cited by 8 publications

References 17 publications

Sliding Mode Controller Design for the Anti-Synchronization of Hyperchaotic Lü Systems

Sliding Mode Controller Design for the Anti-Synchronization of Hyperchaotic Lü Systems

Controlling Chaos by Bounded Self-Controlling Function Using Butterworth Filter Feedback

Resonance and vibration control of two-degree-of-freedom nonlinear electromechanical system with harmonic excitation

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