Results 51 to 60 of about 5,681 (163)
Tumor–Immune Dynamics: A Spatial-Spectral Perspective
Journal of Mathematical Sciences and ModellingMathematical modeling of tumor–immune interactions provides valuable insights into the nonlinear dynamics that govern tumor progression and response to treatment.
Serpil Yılmaz
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Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Journal of Numerical Analysis and Approximation Theory, 2020 Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
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Attraction basins in the generalized Kapitsa’s problem
Доклады Академии наук, 2019 Stability of vertical position of an inverted pendulum under action of support vibration as well as the attraction basin of this position is considered. In addition to the classic Kapitsa problem for the harmonic vibration of support, the poly-harmonic and random vibration of support is investigated.
N. F. Morozov +4 more
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Jixie qiangduObjectiveThe basin of attraction determines the global stability of passive walking robots, yet its narrow morphology poses tremendous challenges to the stable walking of robots in real environments.
ZHAO Tian +4 more
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MathematicsThis paper explores two sample-based methods for analysing multistable systems: basin stability and basin entropy. Both methods rely on many numerical integration trials conducted with diverse initial conditions.
Maciej Leszczynski +2 more
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Dynamics and applications of quantum iterative methods [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this article, we have introduced a new type of parametric family of the Quantum iterative method (PFQIM) using quantum derivative ($q$-derivative) to solve non-linear equations.
Sapan Nayak, P. Parida, Babita Mehta
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Basins of Attraction: A Dynamical Zoo
International Journal of Bifurcation and ChaosResearch in multistable systems is a flourishing field with countless examples and applications across scientific disciplines. I present a catalog of multistable dynamical systems covering relevant fields of knowledge. This work is intended to provide a research tool to the community in the form of classified examples with computer codes to reproduce ...
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General convergence of the methods from Chebyshev-Halley family
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper we study the Chebyshev-Halley family (which contains, as particular cases, the Chebyshev method, Halley method, super-Halley method and the C-method). For Chebyshev and super-Halley methods we give a global theorem of convergence.
Raluca Anamaria Pomian
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Chaotic Dynamics Analysis and FPGA Implementation Based on Gauss Legendre Integral
MathematicsIn this paper, we first design the corresponding integration algorithm and matlab program according to the Gauss–Legendre integration principle. Then, we select the Lorenz system, the Duffing system, the hidden attractor chaotic system and the Multi-wing
Li Wen, Li Cui, Hairong Lin, Fei Yu
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Fractal and FractionalThis study presents multistability mechanisms that can enhance the energy harvesting performance of a piezoelectric energy harvester (PEH) with geometrical nonlinearities. To configure triple potential wells, static bifurcation diagrams in the structural
Zhenhua Wang, Huilin Shang
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