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Stimulus statistics shape oscillations in nonlinear recurrent neural networks. [PDF]
J Neurosci, 2015 Lefebvre J +4 more
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Mechanisms of gap gene expression canalization in the Drosophila blastoderm. [PDF]
BMC Syst Biol, 2011 Gursky VV +6 more
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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
Journal of the Korean Mathematical Society, 2012 Yujun Zhu
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Nonuniform contractions and converse stability results via a smooth topological equivalence
Dynamical systems, 2023Given a nonautonomous linear system of ordinary differential equations with nonuniform contractions on the half line, we study the smoothness and preserving orientation properties of a global linearization between this system and a family of nonlinear ...
Álvaro Castañeda +2 more
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Qualitative Theory of Dynamical Systems, 2022
The combination of the averaging method with the Lyapunov-Schmidt reduction offers sufficient conditions for establishing the existence of periodic solutions in a specific class of perturbative ...
M. R. Cândido, D. Novaes
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The combination of the averaging method with the Lyapunov-Schmidt reduction offers sufficient conditions for establishing the existence of periodic solutions in a specific class of perturbative ...
M. R. Cândido, D. Novaes
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The Variational Principle for the Packing Entropy of Nonautonomous Dynamical Systems
Acta Mathematica Scientia, 2023Ruifeng Zhang
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Topological pressure of a factor map for nonautonomous dynamical systems
Dynamical systems, 2023Let be a compact metric space and be a sequence of continuous maps from X to itself. Denote by the sequence and by the induced nonautonomous dynamical system. In this paper, we give the definitions of upper capacity topological pressure and Pesin-Pitskel
Lei Liu, Cao Zhao
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Introduction to Smooth Ergodic Theory
Graduate Studies in Mathematics, 2013Table of contents: The core of the theory: * Examples of hyperbolic dynamical systems * General theory of Lyapunov exponents * Lyapunov stability theory of nonautonomous equations * Elements of the nonuniform hyperbolicity theory * Cocycles over ...
L. Barreira, Y. Pesin
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Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021We introduce the concepts of sensitivity, multisensitivity, cofinite sensitivity, and syndetic sensitivity for nonautonomous dynamical systems on uniform spaces and obtain some sufficient conditions under which topological transitivity and dense periodic
M. Salman, Xinxing Wu, Ruchi Das
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Generalized dichotomies via time rescaling
Discrete and Continuous Dynamical Systems. Series AFor discrete-time nonautonomous linear dynamics and a large class of discrete growth rates $\mu$, we show that the notion of $\mu$ dichotomy (with respect to a sequence of norms) can be completely characterized in terms of ordinary and exponential ...
Davor Dragičević, César M. Silva
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