SERIES ON COMPLEXITY, NONLINEARITY AND CHAOS – serie
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6 produkter
FRACTIONAL CALCULUS: MODELS AND NUMERICAL METHODS (SECOND EDITION)
Av Dumitru Baleanu, Kai Diethelm m. fl.
Inbunden, 2016
2359 kr
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This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. …
RAY AND WAVE CHAOS IN OCEAN ACOUSTICS: CHAOS IN WAVEGUIDES
Av Denis Makarov, Sergey Prants m. fl.
Inbunden, 2009
2122 kr
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A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the mid-1990s when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean. The phenomenon of ray chaos and its manifestation at a finite wavelength — wave chaos — have …
APPLICATIONS OF LIE GROUP ANALYSIS IN GEOPHYSICAL FLUID DYNAMICS
Av Nail H Ibragimov, Ranis N Ibragimov
Inbunden, 2011
1664 kr
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This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book …
FRACTIONAL CALCULUS: MODELS AND NUMERICAL METHODS
MODEL & NUMERIC METHOD
Av Dumitru Baleanu, Kai Diethelm m. fl.
Inbunden, 2012
2117 kr
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The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its …
ASYMPTOTIC INTEGRATION AND STABILITY: FOR ORDINARY, FUNCTIONAL AND DISCRETE DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
For Ordinary, Functional and Discrete Differential Equations of Fractional Order
Av Dumitru Baleanu, Octavian G Mustafa
Inbunden, 2015
1261 kr
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This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics …
SINGLE LINEAR-BIVARIATE CUBIC SYSTEMS
Inbunden, 2026
2173 kr
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This book is about the nonlinear dynamics of single linear-bivariate cubic dynamical systems. For such cubic dynamical systems, the inflection-flows and third-order parabola flows exist for appearing bifurcations. The inflection-flows are for appearing bifurcations of two parabola flows on the same …