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Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 09/2018, Volume 62, pp. 229 - 243
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 06/2019, Volume 123, pp. 383 - 399
•Sections 1 and 2 contain the introduction, where we motivated the study and then formulate the problem and important definitions.•In Section 3, we took... 
Action potentials | Stochastic FitzHugh–Nagumo model | Random dynamical systems | Random periodic solutions | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Stochastic FitzHugh-Nagumo model | PHYSICS, MULTIDISCIPLINARY | STABILITY | FREEDOM | NOISE | PHYSICS, MATHEMATICAL | MARKOVIAN PROCESSES | LARGE DEVIATIONS
Journal Article
Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 9/2019, Volume 21, Issue 3, pp. 1 - 12
Blackstock–Crighton equations describe the motion of a viscous, heat-conducting, compressible fluid. They are used as models for acoustic wave propagation in a... 
Mathematical Methods in Physics | Fluid- and Aerodynamics | Blackstock–Crighton | 76D33 | Classical and Continuum Physics | 35B34 | 35B10 | periodic solutions | Primary 35Q35 | resonance | Physics | 76N10 | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Blackstock-Crighton | PHYSICS, FLUIDS & PLASMAS | Analysis | Wave propagation | Numerical analysis
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2019, Volume 60, Issue 5, p. 52703
We prove an infinite dimensional Kolmogorov–Arnold–Moser theorem. As an application, we use the theorem to study the two-dimensional forced nonlinear... 
WAVE EQUATIONS | QUASI-PERIODIC SOLUTIONS | DIMENSIONAL TORI | CONSTRUCTION | KAM THEOREM | HAMILTONIAN PERTURBATIONS | SYSTEMS | PHYSICS, MATHEMATICAL | Toruses | Boundary conditions | Theorems | Nonlinear equations | Schroedinger equation | Perturbation
Journal Article
NONLINEARITY, ISSN 0951-7715, 04/2019, Volume 32, Issue 4, pp. 1440 - 1493
We consider the effect of a non-autonomous periodic perturbation on a 2-dof autonomous system obtained as a truncation of the Hamiltonian-Hopf normal form. Our... 
MATHEMATICS, APPLIED | RESONANCE | NORMAL FORMS | SYSTEMS | quasi-periodic phenomena | PHYSICS, MATHEMATICAL | Hamiltonian-Hopf bifurcation | exponentially small phenomena | splitting of separatrices
Journal Article
Inventiones Mathematicae, ISSN 0020-9910, 05/2018, Volume 212, Issue 2, pp. 619 - 729
This paper studies homeomorphisms of surfaces isotopic to the identity by means of purely topological methods and Brouwer theory. The main development is a... 
DIFFEOMORPHISMS | MATHEMATICS | TORUS HOMEOMORPHISMS | TRANSLATION THEOREM | NUMBERS | ROTATION SETS | DYNAMICS | VERSION | NONCONTRACTILE PERIODIC-ORBITS | POINTS | VECTORS
Journal Article
Journal of Wind Engineering & Industrial Aerodynamics, ISSN 0167-6105, 02/2020, Volume 197, p. 104087
Wind tunnel measurements often under-predict the intensity of lateral dispersion, because the large turbulent scales are difficult to reproduce in experiments.... 
Urban air quality | Computational fluid dynamics (CFD) | Nearly full-scale site experiment | Transient wind forcing (TWF) | Large eddy simulation (LES) | Periodic domain | Lagrangian dispersion model
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 2019, Volume 175, Issue 3-4, pp. 640 - 663
The presence of active forces in various biological and artificial systems may change how those systems behave when forced. We present a minimal model of a... 
Linear response theory | Active matter | Non-equilibrium statistical physics | Time-periodic forcing | PHYSICS, MATHEMATICAL
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2019, Volume 29, Issue 10, p. 1950133
In this paper, a new version of the nonlinear model with two women competing vehemently for an attractive man in a competitive love-triangle is proposed, which... 
SYSTEM | external periodic forcing | resonant response | chaotic behavior | BIFURCATIONS | BEHAVIOR | MULTIDISCIPLINARY SCIENCES | competition | NOISE | DRIVEN | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | FORCES | Love-triangle | DELAY
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 09/2018, Volume 115, Issue 36, p. 8931
The hydroxyl radical (OH) is the primary oxidant in the troposphere, and the impact of its fluctuations on the methane budget has been disputed in recent... 
Methane | Control simulation | Fluctuations | Computer simulation | Variability | Troposphere | Periodicity | Variations | Wavelet analysis | Climate models | Southern Oscillation | Periodic variations | Empirical analysis | Convection | Organic chemistry | Chemistry | El Nino | Lightning | Modulation | Orthogonal functions | Hydroxyl radicals | La Nina | Function analysis
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 10/2018, Volume 2025, Issue 1
We consider nonlinear dynamical systems forced simultaneously both periodically and stochastically. The periodic modulation generates oscillatory regimes in... 
Boundary value problems | Periodic functions | Asymptotic properties | Differential equations | Trajectories | Nonlinear systems | Dispersion
Journal Article
Progress in Aerospace Sciences, ISSN 0376-0421, 04/2018, Volume 98, pp. 57 - 73
The effectiveness of local forcing by periodic blowing/suction through a thin transverse slot to alter the properties of an incompressible turbulent boundary... 
Turbulent boundary layer | Periodic forcing | Effectiveness | Body of revolution | Drag reduction | NEAR-WALL TURBULENCE | FLOWS | ENGINEERING, AEROSPACE | SUCTION
Journal Article
Journal Article
Physics of Fluids, ISSN 1070-6631, 02/2018, Volume 30, Issue 2, p. 22101
A possibility of saturating Rayleigh-Taylor instability in a thin liquid film on the underside of a substrate in the gravity field by harmonic vibration of the... 
TRANSPORT | MECHANICS | RAYLEIGH-TAYLOR INSTABILITY | PHYSICS, FLUIDS & PLASMAS | STABILITY | SURFACE | DYNAMICS | PATTERNS | LEIDENFROST | SEPARATION | Thin films | Asymmetry | Oil films | Fluid inertia | Dependence | Flow velocity | Periodic variations | Frequency stability | Taylor instability | Substrates
Journal Article