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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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The Variational Principle for the Packing Entropy of Nonautonomous Dynamical Systems
Acta Mathematica Scientia, 2023Ruifeng Zhang, Jiang 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
semanticscholar +1 more source
Topological Sensitivity for Nonautonomous Discrete Dynamical Systems
Qualitative Theory of Dynamical SystemsRuchi Das, Mohammad Salman, Das Ruchi
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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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Smooth normal forms and eliminate nonresonant terms by mean dichotomy spectrum
Journal of Mathematics and PhysicsAs the essential instrument for identifying bifurcations and determining qualitative behaviors, the smooth normalizations are provided for nonautonomous systems with linear parts admitting mean hyperbolicity.
Jiahui Feng
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SIAM Journal on Applied Dynamical Systems
We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach leverages the strong regularizing properties of the associated transfer operator through a finite ...
S. Galatolo +3 more
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We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach leverages the strong regularizing properties of the associated transfer operator through a finite ...
S. Galatolo +3 more
semanticscholar +1 more source