Results 21 to 30 of about 36,359 (205)

Comparative Performance Evaluation of an Accuracy-Enhancing Lyapunov Solver

Information, 2019
Lyapunov equations are key mathematical objects in systems theory, analysis and design of control systems, and in many applications, including balanced realization algorithms, procedures for reduced order models, Newton methods for algebraic Riccati ...
Vasile Sima
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Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation

Complexity, 2020
In this paper, we study the nonlinear adaptive boundary control problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is 0,1.
B. Chentouf, N. Smaoui, A. Alalabi
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A Simple Technique for Studying Chaos Using Jerk Equation with Discrete Time Sine Map

Applied Sciences, 2021
Over the past decade, chaotic systems have found their immense application in different fields, which has led to various generalized, novel, and modified chaotic systems.
Muhammad Haseeb Arshad, Mahmoud Kassas, Alaa E. Hussein, Mohammad A. Abido   +3 more
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Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations [PDF]

Mathematica Moravica
We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa
Adeyanju A.A., Fabelurin O.O., Akinbo G., Aduroja O.O., Ademola A.T., Ogundiran M.O., Ogundare B.S., Adesina O.A.   +7 more
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Geometrical properties of local dynamics in Hamiltonian systems: the Generalized Alignment Index (GALI) method [PDF]

, 2007
We investigate the detailed dynamics of multidimensional Hamiltonian systems by studying the evolution of volume elements formed by unit deviation vectors about their orbits.
Antonopoulos, Barrio, Benettin, Benettin, Benettin, Berman, Bountis, Bridges, Ch. Antonopoulos, Ch. Skokos, Cincotta, Cincotta, Contopoulos, Cvitanović, Fouchard, Froeschlé, Froeschlé, Froeschlé, Gottwald, Greene, Guzzo, Howard, Hénon, Kotoulas, Laskar, Laskar, Laskar, Laskar, Lieberman, Lohinger, Manos, Manos, Ooyama, Oseledec, Panagopoulos, Papaphilippou, Papaphilippou, Pesin, Sideris, Skokos, Skokos, Skokos, Skokos, Spivak, Széll, Sándor, T.C. Bountis, Verhulst, Voglis, Voyatzis, Vozikis   +50 more
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B. B. G. K. Y. Hierarchy Methods for Sums of Lyapunov Exponents for Dilute Gases

, 1998
We consider a general method for computing the sum of positive Lyapunov exponents for moderately dense gases. This method is based upon hierarchy techniques used previously to derive the generalized Boltzmann equation for the time dependent spatial and ...
Dorfman, J. R., Latz, Arnulf, van Beijeren, Henk   +2 more
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Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions

Journal of Inequalities and Applications, 2017
In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator.
Yang Liu, Dapeng Xie, Dandan Yang, Chuanzhi Bai   +3 more
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Analysis and Prediction of Electric Power System’s Stability Based on Virtual State Estimators

Mathematics, 2021
The stability of bilinear systems is investigated using spectral techniques such as selective modal analysis. Predictive models of bilinear systems based on inductive knowledge extracted by big data mining techniques are applied with associative search ...
Natalia Bakhtadze, Igor Yadikin
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Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases I: Equilibrium Systems

, 1997
We compute the Lyapunov spectrum and the Kolmogorov-Sinai entropy for a moving particle placed in a dilute, random array of hard disk or hard sphere scatterers - i.e. the dilute Lorentz gas model.
A. Crisanti, A. Latz, A. Latz, A. Weijland, A. Weijland, Arnulf Latz, C. Appert, C. Appert, C. Beck, C. Bruin, C. P. Dettmann, Ch. Dellago, Ch. Dellago, Ch. Dellago, D. J. Evans, D. J. Evans, D. Mannion, D. Ruelle, E. Courant, E. G. D. Cohen, E. G. D. Cohen, E. H. Hauge, G. Gallavotti, G. Vattay, H. Flanders, H. van Beijeren, H. van Beijeren, H. van Beijeren, H. van Beijeren, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J.-P. Eckmann, L. A. Bunimovich, M. H. Ernst, N. I. Chernov, N. I. Chernov, N. S. Krylov, P. Dahlqvist, P. Dahlqvist, P. Gaspard, P. Gaspard, P. Gaspard, S. Chapman, V. I. Arnold, W. G. Hoover, Ya. G. Sinai   +47 more
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An iterative scheme for a class of generalized Sylvester matrix equations [PDF]

AUT Journal of Mathematics and Computing
In this study based on the accelerated over relaxation (AOR) method we make an iterative scheme for solving generalized Lyapunov matrix equation$$ {A}{X}+{X}{B}+\sum_{j=1}^{m}{N}_j{X}{M}_j={C},$$over complex or real matrices.
Mehdi Dehghan, Gholamreza Karamali, Akbar Shirilord   +2 more
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