Lyapunov Exponents: A Tool to Explore Complex Dynamics. Arkady Pikovsky, Antonio Politi
Lyapunov-Exponents-A-Tool-to.pdf
ISBN: 9781107030428 | 330 pages | 9 Mb
- Lyapunov Exponents: A Tool to Explore Complex Dynamics
- Arkady Pikovsky, Antonio Politi
- Page: 330
- Format: pdf, ePub, fb2, mobi
- ISBN: 9781107030428
- Publisher: Cambridge University Press
Download bestseller ebooks free Lyapunov Exponents: A Tool to Explore Complex Dynamics English version PDB
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed, while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization, weak and global chaos in low and high-dimensional set-ups, and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems, making it ideal for both graduate students and experienced researchers.
A template for the exploration of chaotic locomotive patterns
In this investigation, we explored if a passive dynamic present from 0.01839 rad < c < 0.0189 rad (Lyapunov exponent range ¼ Despite the simplicity of our passive dynamic walking model, its analysis was quite complicated since its governing Tools from mathematical chaos theory were used to classify the data that
HTML - Digital Library and Archives - Virginia Tech
where + denotes the largest characteristic Lyapunov exponent. for the construction of computational tools that allow us to explore complex dynamical models
Adaptive feedback synchronization of fractional-order complex
Sign In; |; My Tools; |; Contact Us; |; HELP To ensure synchronization of two dynamic networks, an adaptive of improved invariable-Lyapunov-exponent- spectrum chaotic system. (2001) Exploring complex networks.
Onset and Synchronization of Complex Dynamic Behavior in the
Onset and Synchronization of Complex Dynamic Behavior in the Calculating the leading Lyapunov exponent confirms that this form of
Dynamics of a Hyperparasitic System with Prolonged Diapause for
Furthermore, few works on complex dynamics in parasitic system have diagrams, the Maximum Lyapunov exponents, phase portraits and so on to explore the exponents have been proved to be the most useful dynamic diagnostic tool for
The Mathematics of Combustion | Fluid Dynamics and Solid
Lyapunov Exponents. A Tool to Explore Complex Dynamics Advances in Applied Mathematics and Mechanics (AAMM) publishes as rapidly as possible
Chaotic mixing - Wikipedia, the free encyclopedia
In chaos theory and fluid dynamics, chaotic mixing is a process by which flow can generate exceptionally complex patterns from initially simple tracer fields. 2.1 Lyapunov exponents; 2.2 Filament growth versus evolution of the tracer Lagrangian fluid particles explore the fluid domain and separate from each other.
Chaos in Dynamics of a Family of Transcendental Meromorphic
class of polynomials, is investigated in [4, 5, 11] to explore its global dy- namical that the nonlinear dynamics of functions in our family is little more chaotic Lyapunov exponent is an important tool to measure the chaos.
Revealing Real-Time Emotional Responses: a Personalized
Features from the instantaneous spectrum and bispectrum, as well as the dominant Lyapunov exponent, were extracted and considered as input Within the cardiovascular system, the complex and nonstationary dynamics of our tools for underlying patho-physiology evaluation, as well as explore new
Lyapunov Exponents - Cambridge University Press
Lyapunov Exponents A Tool to Explore Complex Dynamics. Authors: Arkady Pikovsky, Universität Potsdam, Germany; Antonio Politi, University of Aberdeen.
Complex dynamics of a four neuron network model having a pair of
Complex dynamics of a four neuron network model having a pair of Lyapunov exponents are also calculated using the AnT 4.669 tool for
Lyapunov Exponents - Cambridge University Press
Lyapunov Exponents, Arkady Pikovsky, Antonio Politi, 9781107030428, Cambridge University Press. A Tool to Explore Complex Dynamics. Arkady Pikovsky.
LYAPUNOV EXPONENTS OF SYSTEMS EVOLVING ON - CiteSeer
nents of a dynamical system when the linearized problem evolves on a quadratic group, XT HX = H Lyapunov exponents are a common tool to explore stability properties of dynam- ical systems ery complex conjugate pair of eigenvalues,.
Modularity and the Spread of Perturbations in Complex Dynamical
ing multivariate dynamics, including Lyapunov-exponent based methods a powerful new tool for exploring modularity in complex systems.
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