Results 161 to 170 of about 3,437,451 (208)
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1996
The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at undergraduate level. It was widely praised for the clarity of the writing and for the unique and effective way in which the authors presented the basic ideas.
Gregory L. Baker, Jerry P. Gollub
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The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at undergraduate level. It was widely praised for the clarity of the writing and for the unique and effective way in which the authors presented the basic ideas.
Gregory L. Baker, Jerry P. Gollub
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Dynamic sensitivities in chaotic dynamical systems
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fumihide Shiraishi, Yuji Hatoh
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Chaotic Continua in Chaotic Dynamical Systems
2021In this article, for any graph G we define a new notion of “free tracing property by free G-chains” on G-like continua and we show that a positive topological entropy homeomorphism f of a G-like continuum X admits a Cantor set Z in X such that any sequence \((z_1,z_2,...,z_n)\) of points in Z is an IE-tuple of f, Z has the free tracing property by free
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Chaotic dynamics of a magnetic nanoparticle
Physical Review E, 2011We study the deterministic spin dynamics of an anisotropic magnetic particle in the presence of a magnetic field with a constant longitudinal and a time-dependent transverse component using the Landau-Lifshitz-Gilbert equation. We characterize the dynamical behavior of the system through calculation of the Lyapunov exponents, Poincaré sections ...
Bragard, J. +5 more
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2006
In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge.
Tamás Tél, Márton Gruiz
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In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge.
Tamás Tél, Márton Gruiz
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An advantage of chaotic neural dynamics
2007 International Joint Conference on Neural Networks, 2007One hypothesis about how biological neural systems work suggests that they use attractor dynamics to define their behaviour. Such behaviour can be modelled using recurrent neural network models. It has been shown that such systems can perform a wide range of computational tasks by learning abstract grammars. Here we show that chaotic neural dynamics in
Péter András 0001, Samantha Lycett
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Controlling chaotic dynamical systems
1991 American Control Conference, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Romeiras, Filipe J. +3 more
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Chaotic Behavior and Fluid Dynamics
1981It is shown that while fluids are very complicated systems having many degrees of freedom, the basic mechanism underlying the observed chaotic behavior of fluid turbulence may not require the consideration of many degrees of freedom. Simple dynamical systems display erratic and chaotic behavior reminiscent of turbulence, the key to which is the ...
J. A. Yorke, E. D. Yorke
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2004
Abstract Speaking about ‘chaotic dynamics’, we have in mind a kind of randomness or, more accurately, the idea that trajectories of particles or systems can be indistinguishable from some random process. This means that there exists an exact or approximate equivalent between solutions of some stochastic equation and, for example, the ...
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Abstract Speaking about ‘chaotic dynamics’, we have in mind a kind of randomness or, more accurately, the idea that trajectories of particles or systems can be indistinguishable from some random process. This means that there exists an exact or approximate equivalent between solutions of some stochastic equation and, for example, the ...
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2016
This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real ...
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This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real ...
openaire +1 more source