Results 121 to 130 of about 115,141 (223)
Extended Lyapunov Exponents for Second Order Systems [PDF]
It is shown that the concept of the Lyapunov exponent can be extended to include an imaginary part. A numerical technique used to calculate these extended Lyapunov exponents for second order systems is presented.
Horn, Janice M.
core +1 more source
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury +2 more
wiley +1 more source
ABSTRACT The aetiology of fatigue differs between exercise intensity domains, but limited research has explored non‐linear gait dynamics across them. To address this, this study aimed to investigate movement variability and stability in moderate, heavy, and severe intensity domains, and to examine how these dynamics evolve over time.
Ben Hunter +4 more
wiley +1 more source
Lyapunov exponents – practical computation
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possible divergence of nearby trajectories of the solution. In this way they express dependence of the dynamical system on initial conditions.
Fischer, Cyril
core
Mathematical Modeling of Pulse‐Seeded Metapopulation Dynamics for Andes Hantavirus Border Dispersal
A pulse‐seeded metapopulation SEIR model for Andes hantavirus maritime dispersal shows that heterogeneous quarantine compliance determines secondary outbreak risk. The weakest‐compliance country governs global containment, while uniform compliance above ∼65%$$ \sim 65\% $$ reduces the global reproduction number below unity.
Gideon K. Gogovi, Paul Chataa
wiley +1 more source
Dynamical determinants and their applications [PDF]
This thesis is concerned with situations where we can define trace-class transfer oper- ators, and extract useful information from their determinants. The first topic is on Lyapunov exponents of random products of matrices.
Felton, Philip
core
EEG Analysis in Structural Focal Epilepsy Using the Methods of Nonlinear Dynamics (Lyapunov Exponents, Lempel-Ziv Complexity, and Multiscale Entropy). [PDF]
Yakovleva TV +11 more
europepmc +1 more source
The Concept of the Mixing Index
Abstract Many current measures of mixing, such as the statistics of concentration, the scalar dissipation rate, or dilution index, are based on the dilution of a single component or pseudo‐component. Because of this, they miss the influence of numerous conditions that directly change true mixing, such as initial separation of chemically distinct water ...
David A. Benson +2 more
wiley +1 more source
Bayesian Inference for Multivariate Monotone Densities
ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley +1 more source
Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source

