Results 31 to 40 of about 18,615 (139)

Symbolic Dynamics Analysis of the Lorenz Equations

, 1997
Recent progress of symbolic dynamics of one- and especially two-dimensional maps has enabled us to construct symbolic dynamics for systems of ordinary differential equations (ODEs).
B.-L. Hao, B.-L. Hao, Bai-lin Hao, C. T. Sparrow, E. N. Lorenz, F.-G. Xie, G. D’Alessandro, G. D’Alessandro, H. Zhao, H. Zhao, H.-P. Fang, I. Percival, J. Guckenheimer, J. M. Greene, J. Milnor, J. W. Swift, J.-X. Liu, J.-X. Liu, Jun-Xian Liu, K. Kumar, K. Tomita, M. Ding, M. Ding, N. Metropolis, O. Biham, P. Cvitanović, P. Grassberger, P. Grassberger, R. Williams, S. Smale, W.-M. Zheng, W.-M. Zheng, W.-M. Zheng, W.-M. Zheng, W.-M. Zheng, W.-M. Zheng, Wei-mou Zheng, Y. Gu   +37 more
core   +1 more source

In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies

Random Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook, Santosh S. Vempala, Matthew S. Zhang   +2 more
wiley   +1 more source

On the periodic motions of simple hopping robots [PDF]

, 1990
Discrete dynamical systems theory is applied to the analysis of simplified hopping robot models. A one-dimensional vertical hopping model that captures both the vertical hopping dynamics and nonlinear control algorithm is reviewed. A more complicated two-
Burdick, J. W., M’Closkey, R. T., Vakakis, A. F.   +2 more
core  

Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

, 2013
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue measure converge exponentially fast to physical ...
A Gorodnik, C Bonatti, C Pugh, C Pugh, CA Morales, CA Morales, CT Ionescu-Tulcea, D Ruelle, D Sullivan, DH Kim, DV Anosov, DY Kleinbock, EN Lorenz, G Keller, I Kontoyiannis, J Guckenheimer, J Palis, J Palis, JS Athreya, M Brin, M Pollicott, M Shub, Maria José Pacifico, N Gourmelon, PC Shields, R Hill, R Metzger, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, Stefano Galatolo, T Steinberger, V Araujo, V Araújo, Vitor Araújo, VS Afraimovich, VS Afraimovich, Y Pesin   +40 more
core   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Dynamical estimates of chaotic systems from Poincar\'e recurrences

, 2009
We show that the probability distribution function that best fits the distribution of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space deviates from the exponential statistics by a small power-law ...
Alligood K. T., Collet P., Dariel M. Maranhão, J. C. Sartorelli, Kantz H., Lacosta A., M. S. Baptista, Nicolis G.   +7 more
core   +1 more source

Pacinian Corpuscle‐Inspired Strain Conversion Enables Ultrasensitive, Linear, and Broad‐Range Piezoelectric Sensing for Cardiovascular Health Monitoring

Advanced Science, Volume 13, Issue 21, 13 April 2026.
A bioinspired piezoelectric sensor mimicking Pacinian corpuscles is developed to enable ultrasensitive and linear pressure sensing. A multilayer grooved architecture converts normal pressure into in‐plane strain, delivering high sensitivity, wide linear range, and efficient energy harvesting, enabling high‐fidelity wrist pulse monitoring and ...
Qi Yang, Zhongqian Song, Shengjie Liu, Yingming Ma, Weiyan Li, Huijun Kong, Cuiyu Liu, Yu Bao, Li Niu   +8 more
wiley   +1 more source

Mathematical Modeling, Bifurcation Theory, and Chaos in a Dusty Plasma System with Generalized (r^⋆, q^⋆) Distributions

Axioms
This study investigates the dynamics of dust acoustic periodic waves in a three-component, unmagnetized dusty plasma system using generalized (r⋆,q⋆) distributions.
Beenish, Maria Samreen, Fehaid Salem Alshammari   +2 more
doaj   +1 more source

Improved Mood Following Cold‐Water Immersion: A Comparison of Differing Exposure Durations

Lifestyle Medicine, Volume 7, Issue 2, April 2026.
ABSTRACT Background Cold‐water therapy is gaining popularity as a mood‐enhancing intervention. However, immersion protocols vary, particularly in terms of temperature and duration. This study examined whether different durations of cold‐water immersion produce differential effects on mood.
John Stephen Kelly, Natalie Davidson, Joseph Peter Delaney   +2 more
wiley   +1 more source

Statistical properties of Lorenz like flows, recent developments and perspectives

, 2014
We comment on mathematical results about the statistical behavior of Lorenz equations an its attractor, and more generally to the class of singular hyperbolic systems.
Anosov D. V., Anosov D. V., Bautista S., Boichenko V. A., Bonatti C., Bowen R., Devaney R., Hopf E., Leonov G. A., Leonov G. A., Maria José Pacifico, Philipp W., Robinson C., Robinson C., Ruelle D., Sinaĭ J. G., Stefano Galatolo, Vitor Araujo   +17 more
core   +1 more source