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1

On the periodic approximation of Lyapunov exponents for semi-invertible cocycles

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6353 - 6368, 2017

Lucas Backes - (email)

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2

On analyticity for Lyapunov exponents of generic bounded linear random dynamical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 8, Pages : 3113 - 3126, 2017

Doan Thai Son - (email)

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3

Special issue on Erice ‘MathCompEpi 2015’ Proceedings

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : i - iv, 2017

Alberto d'Onofrio - (email), Paola Cerrai - (email), Piero Manfredi - (email)

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4

On the usefulness of set-membership estimation in the epidemiology of infectious diseases

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : 141 - 152, 2017

Andreas Widder - (email)

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5

Stability analysis of an enteropathogen population growing within a heterogeneous group of animals

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1231 - 1252, 2017

Carles Barril - (email), Àngel Calsina - (email)

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6

Dynamics of a nonlocal dispersal SIS epidemic model

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 781 - 797, 2017

Fei-Ying Yang - (email), Wan-Tong Li - (email)

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7

Topological conjugacy of linear systems on Lie groups

Discrete and Continuous Dynamical Systems  Volume 37, Issue 6, Pages : 3411 - 3421, 2017

Adriano Da Silva - (email), Alexandre J. Santana - (email), Simão N. Stelmastchuk - (email)

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8

Dynamics of a nonlocal SIS epidemic model with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 247 - 266, 2016

Jia-Feng Cao - (email), Wan-Tong Li - (email), Fei-Ying Yang - (email)

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9

Effect of the epidemiological heterogeneity on the outbreak outcomes

Mathematical Biosciences and Engineering  Volume 14, Issue 3, Pages : 735 - 754, 2016

Alina Macacu - (email), Dominique J. Bicout - (email)

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10

On integral separation of bounded linear random differential equations

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 4, Pages : 995 - 1007, 2016

Nguyen Dinh Cong - (email), Doan Thai Son - (email)

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11

The entropy of Lyapunov-optimizing measures of some matrix cocycles

Journal of Modern Dynamics  Volume 10, Issue 02, Pages : 255 - 286, 2016

Jairo Bochi - (email), Michal Rams - (email)

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12

Characterizing chaos in a type of fractional Duffing's equation

DCDS Supplements  Volume 2015, Issue special, Pages : 660 - 669, 2015

S. Jiménez - (email), Pedro J. Zufiria - (email)

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13

A volume-based approach to the multiplicative ergodic theorem on Banach spaces

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2377 - 2403, 2015

Alex Blumenthal - (email)

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14

Real bounds and Lyapunov exponents

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 1957 - 1982, 2015

Edson de Faria - (email), Pablo Guarino - (email)

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15

An age-structured model for the coupled dynamics of HIV and HSV-2

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 803 - 840, 2015

Georgi Kapitanov - (email), Christina Alvey - (email), Katia Vogt-Geisse - (email), Zhilan Feng - (email)

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16

Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards

Journal of Modern Dynamics  Volume 8, Issue 3/4, Pages : 271 - 436, 2015

Giovanni Forni - (email), Carlos Matheus - (email)

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17

Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 989 - 1013, 2015

Yongli Cai - (email), Weiming Wang - (email)

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18

Effect of anisotropies on the magnetization dynamics

Networks and Heterogeneous Media  Volume 10, Issue 1, Pages : 209 - 221, 2015

Laura M. Pérez - (email), Jean Bragard - (email), Hector Mancini - (email), Jason A. C. Gallas - (email), Ana M. Cabanas - (email), Omar J. Suarez - (email), David Laroze - (email)

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19

A double age-structured model of the co-infection of tuberculosis and HIV

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 23 - 40, 2014

Georgi Kapitanov - (email)

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20

Analysis of SI models with multiple interacting populations using subpopulations

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 135 - 161, 2014

Evelyn K. Thomas - (email), Katharine F. Gurski - (email), Kathleen A. Hoffman - (email)

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21

Aggregation and environmental transmission in chronic wasting disease

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 209 - 231, 2014

Olga Vasilyeva - (email), Tamer Oraby - (email), Frithjof Lutscher - (email)

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22

Minimal yet measurable foliations

Journal of Modern Dynamics  Volume 8, Issue 1, Pages : 93 - 107, 2014

Gabriel Ponce - (email), Ali Tahzibi - (email), Régis Varão - (email)

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23

Regularity and convergence rates for the Lyapunov exponents of linear cocycles

Journal of Modern Dynamics  Volume 7, Issue 4, Pages : 619 - 637, 2014

Wilhelm Schlag - (email)

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24

Lyapunov spectrum for geodesic flows of rank 1 surfaces

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1841 - 1872, 2013

Keith Burns - (email), Katrin Gelfert - (email)

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25

Weierstrass filtration on Teichmüller curves and Lyapunov exponents

Journal of Modern Dynamics  Volume 7, Issue 2, Pages : 209 - 237, 2013

Fei Yu - (email), Kang Zuo - (email)

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26

Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1475 - 1497, 2013

Sara Y. Del Valle - (email), J. M. Hyman - (email), Nakul Chitnis - (email)

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27

Qualitative analysis of an age- and sex-structured vaccination model for human papillomavirus

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2151 - 2174, 2013

Tufail Malik - (email), Abba Gumel - (email), Elamin H. Elbasha - (email)

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28

The impact of an imperfect vaccine and pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1173 - 1205, 2013

Tufail Malik - (email), Jody Reimer - (email), Abba Gumel - (email), Elamin H. Elbasha - (email), Salaheddin Mahmud - (email)

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29

Model for hepatitis C virus transmissions

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1045 - 1065, 2013

Elamin H. Elbasha - (email)

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30

The local $C^1$-density of stable ergodicity

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 2621 - 2629, 2013

Yunhua Zhou - (email)

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31

Approximation of a semigroup model of anomalous diffusion in a bounded set

Evolution Equations and Control Theory  Volume 2, Issue 1, Pages : 173 - 192, 2013

Stephen Thompson - (email), Thomas I. Seidman - (email)

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32

Multiplicative ergodic theorem on flag bundles of semi-simple Lie groups

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1247 - 1273, 2012

Luciana A. Alves - (email), Luiz A. B. San Martin - (email)

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33

SRB attractors with intermingled basins for non-hyperbolic diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1545 - 1562, 2012

Zhicong Liu - (email)

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34

On transverse stability of random dynamical system

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 701 - 721, 2012

Xiangnan He - (email), Wenlian Lu - (email), Tianping Chen - (email)

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35

On essential coexistence of zero and nonzero Lyapunov exponents

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4149 - 4170, 2012

Jianyu Chen - (email)

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36

Stochastic models for competing species with a shared pathogen

Mathematical Biosciences and Engineering  Volume 9, Issue 3, Pages : 461 - 485, 2012

Linda J. S. Allen - (email), Vrushali A. Bokil - (email)

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37

Characterization of turing diffusion-driven instability on evolving domains

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 3975 - 4000, 2012

Georg Hetzer - (email), Anotida Madzvamuse - (email), Wenxian Shen - (email)

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38

Central limit theorem for stationary products of toral automorphisms

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1597 - 1626, 2012

Jean-Pierre Conze - (email), Stéphane Le Borgne - (email), Mikaël Roger - (email)

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39

Dense area-preserving homeomorphisms have zero Lyapunov exponents

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1231 - 1244, 2011

Mário Bessa - (email), César M. Silva - (email)

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40

Dominated splitting and Pesin's entropy formula

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1421 - 1434, 2011

Wenxiang Sun - (email), Xueting Tian - (email)

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41

Coincidence of Lyapunov exponents and central exponents of linear Ito stochastic differential equations with nondegenerate stochastic term

DCDS Supplements  Volume 2011, Issue Special, Pages : 332 - 342, 2011

Nguyen Dinh Cong - (email), Nguyen Thi Thuy Quynh - (email)

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42

Positivity, robust stability and comparison of dynamic systems

DCDS Supplements  Volume 2011, Issue Special, Pages : 1042 - 1051, 2011

Alexey G. Mazko - (email)

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43

On the relations between positive Lyapunov exponents, positive entropy, and sensitivity for interval maps

Discrete and Continuous Dynamical Systems  Volume 32, Issue 2, Pages : 433 - 466, 2011

Alejo Barrio Blaya - (email), Víctor Jiménez López - (email)

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44

Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 695 - 709, 2011

Hongbin Guo - (email), Jianhong Wu - (email)

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45

Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 807 - 825, 2011

Paul L. Salceanu - (email)

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46

Integrability and Lyapunov exponents

Journal of Modern Dynamics  Volume 5, Issue 1, Pages : 107 - 122, 2011

Andy Hammerlindl - (email)

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47

Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks

Mathematical Biosciences and Engineering  Volume 8, Issue 1, Pages : 123 - 139, 2011

Diána H. Knipl - (email), Gergely Röst - (email)

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48

On $SL(2, R)$ valued cocycles of Hölder class with zero exponent over Kronecker flows

Communications on Pure and Applied Analysis  Volume 10, Issue 3, Pages : 873 - 884, 2010

Russell Johnson - (email), Mahesh G. Nerurkar - (email)

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49

On the work of Dolgopyat on partial and nonuniform hyperbolicity

Journal of Modern Dynamics  Volume 4, Issue 2, Pages : 227 - 241, 2010

Yakov Pesin - (email)

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50

Measures of intermediate entropies for skew product diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1219 - 1231, 2010

Peng Sun - (email)

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51

Entropies of strictly convex projective manifolds

Journal of Modern Dynamics  Volume 3, Issue 4, Pages : 511 - 547, 2010

Mickaël Crampon - (email)

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52

Density of positive Lyapunov exponents for quasiperiodic SL(2, R)-cocycles in arbitrary dimension

Journal of Modern Dynamics  Volume 3, Issue 4, Pages : 631 - 636, 2010

Artur Avila - (email)

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53

A model for transmission of partial resistance to anti-malarial drugs

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 649 - 661, 2009

Hengki Tasman - (email), Edy Soewono - (email), Kuntjoro Adji Sidarto - (email), Din Syafruddin - (email), William Oscar Rogers - (email)

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54

Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents

Journal of Modern Dynamics  Volume 3, Issue 2, Pages : 233 - 251, 2009

Carlos H. Vásquez - (email)

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55

Lyapunov exponents and persistence in discrete dynamical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 187 - 203, 2009

Paul L. Salceanu - (email), H. L. Smith - (email)

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56

Finite dimensionality of a Klein-Gordon-Schrödinger type system

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 1, Pages : 149 - 161, 2009

Marilena N. Poulou - (email), Nikolaos M. Stavrakakis - (email)

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57

A malaria model with partial immunity in humans

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 789 - 801, 2008

Jia Li - (email)

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58

Growth rates and nonuniform hyperbolicity

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 509 - 528, 2008

Luis Barreira - (email), Claudia Valls - (email)

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59

Stability of synchronization in a shift-invariant ring of mutually coupled oscillators

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 973 - 996, 2008

R. Yamapi - (email), R.S. MacKay - (email)

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60

Entropy formula for endomorphisms: Relations between entropy, exponents and dimension

Discrete and Continuous Dynamical Systems  Volume 21, Issue 2, Pages : 367 - 392, 2008

Min Qian - (email), Jian-Sheng Xie - (email)

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61

SEIR epidemiological model with varying infectivity and infinite delay

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 389 - 402, 2008

Gergely Röst - (email), Jianhong Wu - (email)

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62

Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 1 - 20, 2008

Linda J. S. Allen - (email), B. M. Bolker - (email), Yuan Lou - (email), A. L. Nevai - (email)

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63

Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow

Discrete and Continuous Dynamical Systems  Volume 20, Issue 4, Pages : 961 - 974, 2008

P. Kaplický - (email), Dalibor Pražák - (email)

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64

The thermodynamic formalism for sub-additive potentials

Discrete and Continuous Dynamical Systems  Volume 20, Issue 3, Pages : 639 - 657, 2007

Yongluo Cao - (email), De-Jun Feng - (email), Wen Huang - (email)

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65

Stable ergodicity for partially hyperbolic attractors with negative central exponents

Journal of Modern Dynamics  Volume 2, Issue 1, Pages : 63 - 81, 2007

Keith Burns - (email), Dmitry Dolgopyat - (email), Yakov Pesin - (email), Mark Pollicott - (email)

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66

Attractors for return maps near homoclinic tangencies of three-dimensional dissipative diffeomorphisms

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 4, Pages : 971 - 1005, 2007

Antonio Pumariño - (email), Joan Carles Tatjer - (email)

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67

Modeling diseases with latency and relapse

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 205 - 219, 2007

P. van den Driessche - (email), Lin Wang - (email), Xingfu Zou - (email)

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68

Lyapunov exponents for stochastic differential equations with infinite memory and application to stochastic Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 4, Pages : 697 - 709, 2006

Yuri Bakhtin - (email)

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69

Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations

Communications on Pure and Applied Analysis  Volume 5, Issue 2, Pages : 367 - 382, 2006

Neville J. Ford - (email), Stewart J. Norton - (email)

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70

Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies

Discrete and Continuous Dynamical Systems  Volume 15, Issue 1, Pages : 61 - 71, 2006

Yongluo Cao - (email), Stefano Luzzatto - (email), Isabel Rios - (email)

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71

Differential susceptibility and infectivity epidemic models

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 89 - 100, 2005

James M. Hyman - (email), Jia Li - (email)

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72

Lyapunov exponents for continuous transformations and dimension theory

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 469 - 490, 2005

Luis Barreira - (email), César Silva - (email)

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73

Expansion rates and Lyapunov exponents

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 433 - 438, 1997

Sebastian J. Schreiber - (email)

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