NSTL国家科技图书文献中心

1. Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms NSTL国家科技图书文献中心

Costa, J. Santana | Tahzibi, A. - 《Ergodic Theory and Dynamical Systems》 - 2025,45(Pt.5) - 1444～1460 - 共17页

摘要： of the positive (negative) Lyapunov* exponents of f* | [Flexibility of Lyapunov* exponents. Ergod. Th. & Dynam. Sys* | the positive (respectively negative) Lyapunov | exponents of its linearization. We show this for some | For a class of volume-preserving partially

关键词： entropy | Lyapunov exponents | partial hyperbolicity

2. Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise NSTL国家科技图书文献中心

Neamtu, Alexandra Bl... | Bloemker, Dirk - 《Journal of nonlinear science》 - 2025,35(1) - 共31页 - 被引量：1

摘要：We estimate the finite-time Lyapunov exponents | strength where finite-time Lyapunov* exponents are* | results on finite-time Lyapunov* exponents are novel also* | for a stochastic partial differential equation | driven by a fractional Brownian motion (fbm) with Hurst

关键词： Fractional Brownian motion | Finite-time Lyapunov exponents | Amplitude equations | Bifurcations for SPDEs

3. LYAPUNOV EXPONENTS OF RENEWAL EQUATIONS: NUMERICAL APPROXIMATION AND CONVERGENCE ANALYSIS NSTL国家科技图书文献中心

DIMITRI BREDA | DAVIDE LIESSI - 《Discrete and continuous dynamical systems,Series B》 - 2025,30(6) - 1930～1951 - 共22页

摘要： the Lyapunov* exponents of renewal equations (delay* | approximated exponents* is provided. A MATLAB implementation* | We propose a numerical method for computing | equations of Volterra type), consisting first of applying | a discrete QR technique to the associated

关键词： Renewal equations | Lyapunov exponents | discrete QR method | evolution family | Fourier projection | pseudospectral collocation | population dynamics

4. Large coupling asymptotics for the Lyapunov exponents of some Schroedinger cocyles over strongly expanding circle endomorphisms NSTL国家科技图书文献中心

Kristian Bjerkloev | Kirthana Rajasekar - 《Dynamical systems》 - 2025,40(1) - 56～70 - 共15页

摘要： lower bound results for these Lyapunov* exponents, to* | Lyapunov exponent of the Schroedinger cocycle over | We quantify the coupling asymptotics for the | strongly expanding maps x bx ( mod 1) on T, for a large | class of potential functions. We refine the previous

关键词： Schroedinger cocycle | expanding circle maps | Lyapunov exponents | large coupling asymptotics

5. Spectral bounds on the entropy flow rate and Lyapunov exponents in differentiable dynamical systems NSTL国家科技图书文献中心

Das, Swetamber | Green, Jason R. - 《Journal of physics,A.Mathematical and theoretical》 - 2025,58(3) - 共17页

摘要： fundamental bounds on the Lyapunov* exponents and phase space* | Some microscopic dynamics are also | macroscopically irreversible, dissipating energy and producing | entropy. For many-particle systems interacting with | deterministic thermostats, the rate of thermodynamic entropy

关键词： nonequilibrium statistical mechanics | nonlinear dynamics | Lyapunov exponents

6. Lyapunov exponents of orthogonal-plus-normal cocycles NSTL国家科技图书文献中心

Bednarski, Sam | Quas, Anthony - 《Nonlinearity》 - 2025,38(3) - 共17页

摘要： mutually independent. We study the Lyapunov* exponents of* | exact expression for the jth Lyapunov* exponent in* | exponents, showing that lambda j=(d-2j)epsilon 2/2+O | We consider products of matrices of the form | An=On+epsilon Nn where (On)n >= 1 is a sequence of

关键词： Lyapunov exponent | multiplicative ergodic theory | expansion

7. Full Lyapunov exponents spectrum with Deep Learning from single-variable time series NSTL国家科技图书文献中心

Mayora-Cebollero, Ca... | Mayora-Cebollero, An...... - 《Physica,D.Nonlinear phenomena》 - 2025,472 - 共17页

摘要： the Lyapunov* exponents of a dynamical system* | are able, once trained, to provide the full Lyapunov | exponents spectrum with just single-variable time series | In this article we study if a Deep Learning | technique can be used to obtain an approximate value of

关键词： Deep Learning | Lyapunov exponents | Chaos | Hyperchaos | Dynamics classification | Lorenz system | Coupled Lorenz system

8. On the Lyapunov exponents of triangular discrete time-varying systems NSTL国家科技图书文献中心

Czornik, Adam | Doan, Thai Son - 《Mathematische Nachrichten》 - 2025,298(3) - 976～997 - 共22页

摘要： estimates for the Lyapunov* exponents of discrete linear* | In this paper, we present upper and lower | systems with triangular time-varying coefficients. These | estimates are expressed by the diagonal elements of the | coefficient matrix. As a conclusion from these estimates, we

关键词： Grobman regularity coefficient | Lyapunov exponent | time-varying linear systems | time‐varying linear systems

9. Investigations of complex systems' dynamics, based on reduced amount of information: part 2-Transversely Directioned Lyapunov Exponents and new aspects of symmetry breaking NSTL国家科技图书文献中心

Dabrowski, Artur - 《Nonlinear dynamics》 - 2025,113(11) - 13963～13976 - 共14页

摘要：-Transversely Directioned Lyapunov* Exponents (TDLE) designed* | What is most fundamental in dynamics of | Complex Networks of nonlinear coupled systems (CN) are | phenomena connected with different types of their | collective behavior. In this article, the author presents

关键词： Complex networks | Nonlinear dynamics | Numerical methods | Experiments | Stability | Lyapunov exponents | Synchronization | Symmetry breaking | Chimera states

10. Input driven synchronization of chaotic neural networks with analyticaly determined conditional Lyapunov exponents NSTL国家科技图书文献中心

Culp, Jordan M. | Nicola, Wilten - 《Nonlinear dynamics》 - 2025,113(10) - 12131～12141 - 共11页

摘要： conditional Lyapunov* exponents are easily computed* | synchronization signals, the conditional Lyapunov* exponents can* | to the network dynamics, the conditional Lyapunov | Recurrent neural networks (RNNs) with random | , but sufficiently strong and balanced coupling

摘要： of the positive (negative) Lyapunov* exponents of f* | [Flexibility of Lyapunov* exponents. Ergod. Th. & Dynam. Sys* | the positive (respectively negative) Lyapunov | exponents of its linearization. We show this for some | For a class of volume-preserving partially

关键词： entropy | Lyapunov exponents | partial hyperbolicity

摘要：We estimate the finite-time Lyapunov exponents | strength where finite-time Lyapunov* exponents are* | results on finite-time Lyapunov* exponents are novel also* | for a stochastic partial differential equation | driven by a fractional Brownian motion (fbm) with Hurst

关键词： Fractional Brownian motion | Finite-time Lyapunov exponents | Amplitude equations | Bifurcations for SPDEs

摘要： the Lyapunov* exponents of renewal equations (delay* | approximated exponents* is provided. A MATLAB implementation* | We propose a numerical method for computing | equations of Volterra type), consisting first of applying | a discrete QR technique to the associated

关键词： Renewal equations | Lyapunov exponents | discrete QR method | evolution family | Fourier projection | pseudospectral collocation | population dynamics

摘要： lower bound results for these Lyapunov* exponents, to* | Lyapunov exponent of the Schroedinger cocycle over | We quantify the coupling asymptotics for the | strongly expanding maps x bx ( mod 1) on T, for a large | class of potential functions. We refine the previous

关键词： Schroedinger cocycle | expanding circle maps | Lyapunov exponents | large coupling asymptotics

摘要： fundamental bounds on the Lyapunov* exponents and phase space* | Some microscopic dynamics are also | macroscopically irreversible, dissipating energy and producing | entropy. For many-particle systems interacting with | deterministic thermostats, the rate of thermodynamic entropy

关键词： nonequilibrium statistical mechanics | nonlinear dynamics | Lyapunov exponents

摘要： mutually independent. We study the Lyapunov* exponents of* | exact expression for the jth Lyapunov* exponent in* | exponents, showing that lambda j=(d-2j)epsilon 2/2+O | We consider products of matrices of the form | An=On+epsilon Nn where (On)n >= 1 is a sequence of

关键词： Lyapunov exponent | multiplicative ergodic theory | expansion

摘要： the Lyapunov* exponents of a dynamical system* | are able, once trained, to provide the full Lyapunov | exponents spectrum with just single-variable time series | In this article we study if a Deep Learning | technique can be used to obtain an approximate value of

关键词： Deep Learning | Lyapunov exponents | Chaos | Hyperchaos | Dynamics classification | Lorenz system | Coupled Lorenz system

摘要： estimates for the Lyapunov* exponents of discrete linear* | In this paper, we present upper and lower | systems with triangular time-varying coefficients. These | estimates are expressed by the diagonal elements of the | coefficient matrix. As a conclusion from these estimates, we

关键词： Grobman regularity coefficient | Lyapunov exponent | time-varying linear systems | time‐varying linear systems

摘要：-Transversely Directioned Lyapunov* Exponents (TDLE) designed* | What is most fundamental in dynamics of | Complex Networks of nonlinear coupled systems (CN) are | phenomena connected with different types of their | collective behavior. In this article, the author presents

关键词： Complex networks | Nonlinear dynamics | Numerical methods | Experiments | Stability | Lyapunov exponents | Synchronization | Symmetry breaking | Chimera states

摘要： conditional Lyapunov* exponents are easily computed* | synchronization signals, the conditional Lyapunov* exponents can* | to the network dynamics, the conditional Lyapunov | Recurrent neural networks (RNNs) with random | , but sufficiently strong and balanced coupling

关键词： Recurrent neural networks | Chaos | Synchronization

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the positive (negative) Lyapunov exponents of f | [Flexibility of Lyapunov exponents. Ergod. Th. & Dynam. Sys | the positive (respectively negative) Lyapunov | exponents of its linearization. We show this for some | For a class of volume-preserving partially

关键词： entropy | Lyapunov exponents | partial hyperbolicity

摘要：We estimate the finite-time Lyapunov exponents | strength where finite-time Lyapunov exponents are | results on finite-time Lyapunov exponents are novel also | for a stochastic partial differential equation | driven by a fractional Brownian motion (fbm) with Hurst

关键词： Fractional Brownian motion | Finite-time Lyapunov exponents | Amplitude equations | Bifurcations for SPDEs

摘要： the Lyapunov exponents of renewal equations (delay | approximated exponents is provided. A MATLAB implementation | We propose a numerical method for computing | equations of Volterra type), consisting first of applying | a discrete QR technique to the associated

关键词： Renewal equations | Lyapunov exponents | discrete QR method | evolution family | Fourier projection | pseudospectral collocation | population dynamics

摘要： lower bound results for these Lyapunov exponents, to | Lyapunov exponent of the Schroedinger cocycle over | We quantify the coupling asymptotics for the | strongly expanding maps x bx ( mod 1) on T, for a large | class of potential functions. We refine the previous

关键词： Schroedinger cocycle | expanding circle maps | Lyapunov exponents | large coupling asymptotics

摘要： fundamental bounds on the Lyapunov exponents and phase space | Some microscopic dynamics are also | macroscopically irreversible, dissipating energy and producing | entropy. For many-particle systems interacting with | deterministic thermostats, the rate of thermodynamic entropy

关键词： nonequilibrium statistical mechanics | nonlinear dynamics | Lyapunov exponents

摘要： mutually independent. We study the Lyapunov exponents of | exact expression for the jth Lyapunov exponent in | exponents, showing that lambda j=(d-2j)epsilon 2/2+O | We consider products of matrices of the form | An=On+epsilon Nn where (On)n >= 1 is a sequence of

关键词： Lyapunov exponent | multiplicative ergodic theory | expansion

摘要： the Lyapunov exponents of a dynamical system | are able, once trained, to provide the full Lyapunov | exponents spectrum with just single-variable time series | In this article we study if a Deep Learning | technique can be used to obtain an approximate value of

关键词： Deep Learning | Lyapunov exponents | Chaos | Hyperchaos | Dynamics classification | Lorenz system | Coupled Lorenz system

摘要： estimates for the Lyapunov exponents of discrete linear | In this paper, we present upper and lower | systems with triangular time-varying coefficients. These | estimates are expressed by the diagonal elements of the | coefficient matrix. As a conclusion from these estimates, we

关键词： Grobman regularity coefficient | Lyapunov exponent | time-varying linear systems | time‐varying linear systems

摘要：-Transversely Directioned Lyapunov Exponents (TDLE) designed | What is most fundamental in dynamics of | Complex Networks of nonlinear coupled systems (CN) are | phenomena connected with different types of their | collective behavior. In this article, the author presents

关键词： Complex networks | Nonlinear dynamics | Numerical methods | Experiments | Stability | Lyapunov exponents | Synchronization | Symmetry breaking | Chimera states

摘要： conditional Lyapunov exponents are easily computed | synchronization signals, the conditional Lyapunov exponents can | to the network dynamics, the conditional Lyapunov | Recurrent neural networks (RNNs) with random | , but sufficiently strong and balanced coupling

关键词： Recurrent neural networks | Chaos | Synchronization

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： of the positive (negative) Lyapunov* exponents of f* | [Flexibility of Lyapunov* exponents. Ergod. Th. & Dynam. Sys* | the positive (respectively negative) Lyapunov | exponents of its linearization. We show this for some | For a class of volume-preserving partially

摘要：We estimate the finite-time Lyapunov exponents | strength where finite-time Lyapunov* exponents are* | results on finite-time Lyapunov* exponents are novel also* | for a stochastic partial differential equation | driven by a fractional Brownian motion (fbm) with Hurst

摘要： the Lyapunov* exponents of renewal equations (delay* | approximated exponents* is provided. A MATLAB implementation* | We propose a numerical method for computing | equations of Volterra type), consisting first of applying | a discrete QR technique to the associated

摘要： lower bound results for these Lyapunov* exponents, to* | Lyapunov exponent of the Schroedinger cocycle over | We quantify the coupling asymptotics for the | strongly expanding maps x bx ( mod 1) on T, for a large | class of potential functions. We refine the previous

摘要： fundamental bounds on the Lyapunov* exponents and phase space* | Some microscopic dynamics are also | macroscopically irreversible, dissipating energy and producing | entropy. For many-particle systems interacting with | deterministic thermostats, the rate of thermodynamic entropy

摘要： mutually independent. We study the Lyapunov* exponents of* | exact expression for the jth Lyapunov* exponent in* | exponents, showing that lambda j=(d-2j)epsilon 2/2+O | We consider products of matrices of the form | An=On+epsilon Nn where (On)n >= 1 is a sequence of

摘要： the Lyapunov* exponents of a dynamical system* | are able, once trained, to provide the full Lyapunov | exponents spectrum with just single-variable time series | In this article we study if a Deep Learning | technique can be used to obtain an approximate value of

摘要： estimates for the Lyapunov* exponents of discrete linear* | In this paper, we present upper and lower | systems with triangular time-varying coefficients. These | estimates are expressed by the diagonal elements of the | coefficient matrix. As a conclusion from these estimates, we

摘要：-Transversely Directioned Lyapunov* Exponents (TDLE) designed* | What is most fundamental in dynamics of | Complex Networks of nonlinear coupled systems (CN) are | phenomena connected with different types of their | collective behavior. In this article, the author presents

摘要： conditional Lyapunov* exponents are easily computed* | synchronization signals, the conditional Lyapunov* exponents can* | to the network dynamics, the conditional Lyapunov | Recurrent neural networks (RNNs) with random | , but sufficiently strong and balanced coupling