Mustafa Mamat
Universiti Sultan Zainal Abidin
AlgorithmGradient methodMathematical optimizationMathematical analysisGradient descentNonlinear systemAttractorDerivation of the conjugate gradient methodNonlinear conjugate gradient methodChaoticDescent (mathematics)Applied mathematicsUnconstrained optimizationMathematicsComputer scienceControl theoryConvergence (routing)Conjugate gradient methodLine searchConjugate residual method
320Publications
15H-index
1,057Citations
Publications 366
Newest
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 simul...
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This paper announces a new three-dimensional multistable chaotic jerk system with two saddle-foci equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, equilibrium points and bifurcation analysis. Chaotic jerk systems have a nice triangular structure in their dynamics and they have many engineering applications. Our new jerk system is obtained by modifying the dynamics of the Genesio-Tesi chaotic jerk system (1992), and ...
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#1Yi-You Hou (NKFUST: National Kaohsiung First University of Science and Technology)
Last. Muhamad Deni Johansyah (UNPAD: Padjadjaran University)
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Rikitake dynamo system (1958) is a famous two-disk dynamo model that is capable of executing nonlinear chaotic oscillations similar to the chaotic oscillations as revealed by palaeomagnetic study. First, we detail the Rikitake dynamo system, its signal plots and important dynamic properties. Then a circuit design using Multisim is carried out for the Rikitake dynamo system. New synchronous quasi-sliding mode control (QSMC) for Rikitake chaotic system is studied in this paper. Furthermore, the se...
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#2Srimazzura BasriH-Index: 2
Last. Mustafa MamatH-Index: 15
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Unconstrained optimization is a widespread problem that can be solved by a mathematical technique known as the conjugate gradient method. This method is chosen because of its simplicity and less use of time in solving problems that can be seen when the result has less number of iteration with a faster time of the central processing unit (CPU). Motivated by this study, we are interested in researching as there are many modifications taking place in the conjugate gradient parameter. Therefore, in ...
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#2Srimazzura BasriH-Index: 2
Last. Mustafa MamatH-Index: 15
view all 3 authors...
The method of the nonlinear conjugate gradient is widely used in solving large-scale unconstrained optimization since been proven in solving optimization problems without using large memory storage. In this paper, we proposed a new modification of the Hestenes-Stiefel conjugate gradient parameter that fulfils the condition of sufficient descent using a strong Wolfe-Powell line search. Besides, the conjugate gradient method with the proposed conjugate gradient also guarantees low computation of i...
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A new multi-stable system with a double-scroll chaotic attractor is developed in this paper. Signal plots are simulated using MATLAB and multi-stability is established by showing two different coexisting double-scroll chaotic attractors for different states and same set of parameters. Using integral sliding control, synchronized chaotic attractors are achieved between drive-response chaotic attractors. A MultiSim circuit is designed for the new chaotic attractor, which is useful for practical en...
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#2Mustafa MamatH-Index: 15
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Recently, the study on conformable fractional derivative has been gaining more attention from various researchers. This is due to its importance in numerous practical applications. In this paper, we introduce new definition of conformable fractional derivation to find partial fractional derivatives. The fractional derivatives are taken in the sense of Conformable fractional derivative. This approach is considered as a powerful tool for solving linear or nonlinear equations. The new formulation o...