(with K. Lin) Nonequilibrium steady states for certain Hamiltonian models, J. Stat. Phys. 139 no. 4, 2010, 630-657.
(with K. Lin) Dynamics of periodically-kicked oscillators, J. Fixed Point Theory Appl., 7 no. 2, 2010, 291-312.
(with J.-P. Eckmann) Rattling and freezing in a 1-D transport model, Nonlinearity 24 (2011) 207-226.
(with K. Lu and Q.D. Wang) Strange attractors for periodically forced parabolic equations, AMS Memoirs (2013).
(with Z. Lian) Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces, Ann. Henri Poincaré 12, 2011, 1081-1108.
(with M. Demers and P. Wright) Entropy, Lyapunov exponents and escape rates
in open systems, Ergod Th & Dynam Sys, 32:4 (2012), 1270-1301.
(with Q.D. Wang) Dynamical profile of a class of rank-one attractors,
Ergod. Th. & Dynam. Sys, Ergod. Th. & Dynam. Sys, Vol 33, Issue 04, (2013) p.1221-1264.
(with Z. Lian) Lyapunov exponents, periodic orbits and horseshoes for
semiflows of Hilbert spaces, J. Amer. Math. Soc. 25 (2012), 637-665.
(with B. Ryals) Horseshoes of periodically-kicked van der Pol oscillators, Chaos 22, (2012) 043140.
(with K. Lin, K.C.A. Wedgewood and S. Coombes) Limitations of
perturbative techniques in the analysis of rhythms and oscillations, J. Math. Biol. 66 (2013) 139-161.
(with B. Ryals) Nonequilibrium steady states of some simple 1-D
mechanical chains, J. Stat. Phys. Vol. 146, No. 5, 2012, 1089-1103
(with Z. Lian and C. Zeng) Absolute continuity of stable foliations for
systems on Banach spaces, J Diff. Equations, Vol. 254, 1, (2013) 283-308.
(with A. Rangan) Emergent dynamics in a model of visual cortex, J Comp. Neurosci., Vol 35, Issue 2, 155-167 (2013).
(with A. Rangan) Dynamics of spiking neurons: between homogeneity and
synchrony, J Comp. Neurosci., Volume 34, Issue 3 (2013), Page 433-460.
Understanding chaotic dynamical systems, (invited article), Commun. Pure & Appl. Math. Vol 66, Issue 9 (2013), 1439-1462.
(with M. Stenlund and H. Zhang) Dispersing billiards with moving scatterers, Commun. Math. Phys. Vol. 322, Issue 3 (2013), 909--955.
Mathematical theory of Lyapunov exponents, (invited review article), J. Phys. A: Math Theor. 46 (2013) 254001.
(with A. Barrat, B. Fernandez and K. Lin) Modeling temporal networks using random itineraries, Phys. Rev. Lett. 110 (2013), article no 158702.
(with Y. Li) Existence of nonequilibrium steady state for a simple model
of heat conduction, J Stat Phys., 152 (2013) 1170-93.
(with Y. Li) Nonequilibrium steady states for a class of particle systems,
Nonlinearity 27 (2014) 607-636.
(with L. Chariker) Emergent spike patterns in neuronal populations, J Comp. Neur
osci. (2015) 38:203-220.
(with T. Pereira) Control of epidemics on complex networks: effectiveness
of delayed isolation, Phys. Rev. E, 92, 022822 (2015).
(with Y. Li and P. Nandori) Local thermal equilibrium for certain stochastic mod
els of heat transport, J Stat Phys. 163 (2016) 1: 61-91.
(with Y. Li) Polynomial convergence to equilibrium for a system of interacting
particles, Annals of Applied Prob. 27(1), (2017) 65-90
(with A. Blumenthal) Entropy, volume growth and SRB measures for Banach space
mappings, Invent. Math. 207 No.2 (2017) 833-893
[ Journal PDF version | Online version ]
(with G. Lajoie) Dynamic signal tracking in a simple V1 spiking model, Neural Comp. 28 (2016) 1985-2010.
(with A. Blumenthal and J. Xue) Lyapunov exponents for random perturbations of some area-preserving maps including the standard map, Annals of Math, 185 (2017) 1-26
[ Journal PDF version | Online version ]
(with A. Blumenthal) Absolute continuity of stable foliations for mappings of Banach spaces, Commun. Math. Phys. (2017) 354:591-619
(with L. Chariker and R. Shapley) Orientation selectivity from very sparse LGN inputs in a comprehensive model of macaque V1 cortex, J Neurosci (2016) 36(49):12368-12384
Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems, J. Stat. Phys. (2017) 166:494-515
Unraveling the dynamics of the Brain through modeling and analysis, Patterns of Dynamics, Springer Proc. Math. & Stat., Ed Gurevich et al (2017) p.393
(with A. Blumenthal and J. Xue) Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps, Commun. Math. Phys. (2018) 359:347-373
(with Y. Li and L. Chariker) How well do reduced models capture the dynamics in models of interacting neurons? J. Math. Biol. published online (2018)
(with A. Blumenthal) Equivalence of physical and SRB measures in random dynamical systems, 2018 preprint
(with L. Chariker and R. Shapley) Rhythm and synchrony in a cortical network model, to appear in J. Neurosci. (2018)
(with S. Ruschel, T. Pereira and S. Yanchuk) SIQ: A delay differential equations model for disease control via isolation, 2018 preprint
(with S. Ruschel, T. Pereira and S. Yanchuk) Isolation as a means of epidemcis control: consequences of delays and imperfect implementation, 2018 preprint
Comparing chaotic and random dynamical systems, to appear in Proc. ICMP 2018 Montreal, 2018 preprint
Dynamical systems evolving, Proc. ICM 2018 Rio de Janeiro, World Scientific (2018)