Chaos control of Bonhoeffer–van der Pol oscillator using neural networks

Ramesh, M.; Narayanan, S.

doi:10.1016/s0960-0779(00)00200-9

Cited by 49 publications

(19 citation statements)

References 22 publications

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“…Different classes of neutral networks such as Hopfield neural networks, cellular neural networks, Lotka-Volterra neural networks, Cohen-Grossberg neural networks, and bidirectional associative memory neural networks have been extensively studied [1][2][3][4]. Recently, it has been well recognized that time delays are often encountered in various neural networks, and the delays are often the sources of oscillations, instability and poor performance of the networks [5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

On global stability criterion for neural networks with discrete and distributed delays

Park¹

2006

Chaos, Solitons & Fractals

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Section: Introductionmentioning

confidence: 99%

On global stability criterion for neural networks with discrete and distributed delays

Park¹

2006

Chaos, Solitons & Fractals

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“…An extended BVP oscillator can show a stable oscillator as well as a stable threshold phenomenon [23]. The extended BVP oscillator has been observed numerically and experimentally in certain systems and has attributes of great utility to medicine, chemical kinetics, neuroscience, electrical circuits and secure communications [15], [23][24][25]. The extended BVP model consists of an inductor, two capacitors and a linear resistor.…”

Section: The Extended Bonhoeffer Van-der Pol Chaotic Oscillatormentioning

confidence: 99%

Globally exponential synchronization criterion of chaot-ic oscillators using active control

Ahmad

Mahrouqi

Shahzad

2017

IJAMS

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This research paper focuses the globally exponential synchronization between two identical and two nonidentical chaotic oscillators. With the help of Lyapunov direct method and using the active control technique, suitable algebraic conditions are obtained analytically that establish the globally exponential synchronization. The proposed globally exponential synchronization criterion is more general and much less conservative than the previously published works. A comparison, based upon the synchronization speed, cost and quality have been performed with our study of the previously published results. The effect of unknown external disturbances has also been discussed. Numerical simulation results are presented to illustrate the performance and efficiency of this study.

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“…Note that by using some numerical techniques, the fixed points of a chaotic system whose states are accessible can be calculated without using its dynamic equation (Ramesh andNarayanan 2001, Schmelcher andDiakonos, 1997) hence it is assumed that the fixed points of the system are obtained by a numerical algorithm without using the system parameters.…”

Section: Problem Statementmentioning

confidence: 99%