Ditemukan 3 dokumen yang sesuai dengan query
Govaerts, Willy J.F.
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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.
Several features make this book unique. The first is the systematic use of bordered matrix methods in the numerical computation and ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2000
e20442744
eBooks Universitas Indonesia Library
Bountis, Tassos
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This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The ...
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Berlin : [Springer, ], 2012
e20425046
eBooks Universitas Indonesia Library
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This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations ...
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Switzerland: Springer Cham, 2019
e20502133
eBooks Universitas Indonesia Library
