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Scientific reports, ISSN 2045-2322, 11/2018, Volume 8, Issue 1, pp. 17340 - 2
A correction has been published and is appended to both the HTML and PDF versions of this paper. The error has not been fixed in the paper. 
Journal Article
Scientific Reports, ISSN 2045-2322, 02/2017, Volume 7, Issue 1, p. 42351
Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the system's parameters... 
SEA-ICE | BIODIVERSITY | REGIME SHIFTS | EARLY-WARNING SIGNALS | MULTIDISCIPLINARY SCIENCES | RESILIENCE | MODEL | MULTISTABLE SYSTEMS | ECOSYSTEMS | CRITICAL TRANSITION | CLIMATE | Oscillations
Journal Article
Physics of Plasmas, ISSN 1070-664X, 03/2017, Volume 24, Issue 3
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely,... 
Physics | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Journal Article
EPL, ISSN 0295-5075, 03/2018, Volume 121, Issue 6, p. 60003
The changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing... 
OVAL BILLIARD | PHYSICS, MULTIDISCIPLINARY | Physics - Chaotic Dynamics
Journal Article
Chaos, ISSN 1054-1500, 10/2019, Volume 29, Issue 10
Numerical experiments of the statistical evolution of an ensemble of noninteracting particles in a time-dependent billiard with inelastic collisions reveals... 
Time dependence | Diffusion rate | Decay rate | Inelastic collisions | Thermalization (energy absorption) | Evolution | Diffusion plating | Velocity | Distribution functions
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 12/2018, Volume 65, pp. 248 - 259
•A study of a driven stadium-like billiard, or a time-dependent stadium billiard.•This system presents a resonance velocity, which plays the role of an... 
DYNAMICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Analysis | Algorithms
Journal Article
Physics of Plasmas, ISSN 1070-664X, 03/2017, Volume 24, Issue 3, p. 32102
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely,... 
HAMILTONIAN SYSTEM | CHAOS | WAVE-WAVE INTERACTIONS | PHYSICS, FLUIDS & PLASMAS | NONLINEAR INSTABILITY | DYNAMICS | DRIFT WAVES | MODULATIONAL INSTABILITY | PARAMETRIC INTERACTIONS | FORMULATION | ZONAL FLOW
Journal Article
Chaos, ISSN 1054-1500, 09/2018, Volume 28, Issue 9
In this work, we introduce an exact calculation method and an approximation technique for tracing the invariant manifolds of unstable periodic orbits of planar... 
Manifolds | Interpolation | Duffing oscillators | Maps | Approximation | Mathematical analysis | Invariants
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 16, p. 165501
A method for extracting finite-dimensional Hamiltonian systems from a class of 2 + 1 Hamiltonian mean field theories is presented. These theories possess... 
noncanonical Poisson brackets | Hamiltonian systems | dimensional reduction | Euler's equation | perturbative methods | PHYSICS, MULTIDISCIPLINARY | MODULATIONAL INSTABILITY | DRIFT WAVES | PHYSICS, MATHEMATICAL | CHAOS | WAVE-WAVE INTERACTIONS | NONLINEAR INSTABILITY | DYNAMICS
Journal Article
Chaos, ISSN 1054-1500, 2015, Volume 25, Issue 10
Journal Article
Brazilian Journal of Physics, ISSN 0103-9733, 12/2017, Volume 47, Issue 6, pp. 678 - 688
Brain plasticity, also known as neuroplasticity, is a fundamental mechanism of neuronal adaptation in response to changes in the environment or due to brain... 
Neuronal network | Physics, general | Synchronisation | Physics | Plasticity | DYNAMIC-RANGE | PHYSICS, MULTIDISCIPLINARY | SYNAPSES | TIMING-DEPENDENT PLASTICITY
Journal Article
Physics of Plasmas, ISSN 1070-664X, 03/2017, Volume 24, Issue 3
A perturbative method called beatification is presented for a class of two-dimensional fluid and plasma theories. The Hamiltonian systems considered, namely,... 
Dependence | Hamiltonian functions
Journal Article
Chaos, ISSN 1054-1500, 10/2015, Volume 25, Issue 10
The transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system... 
Transport properties | Statistical analysis | Decay rate | Computer simulation | Energy dissipation | Elastic scattering | Mathematical models | Diffusion | Diffusion coefficient | Survival
Journal Article
Physics of Plasmas, ISSN 1070-664X, 10/2013, Volume 20, Issue 10, p. 102512
The equilibrium magnetic field inside axisymmetric plasmas with inversions on the toroidal current density is considered. Previous works have shown that... 
PHYSICS, FLUIDS & PLASMAS | CURRENT OPERATION | TOKAMAK | Physics - Plasma Physics | MAGNETIC FIELDS | TOPOLOGY | AXIAL SYMMETRY | MAGNETIC SURFACES | MAGNETIC ISLANDS | CURRENT DENSITY | ELECTRIC CURRENTS | MAGNETOHYDRODYNAMICS | ANISOTROPY | TOKAMAK DEVICES | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY | PLASMA | EQUILIBRIUM
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 08/2018, Volume 28, Issue 8, p. 085717
We study the standard nontwist map that describes the dynamic behaviour of magnetic field lines near a local minimum or maximum of frequency. The standard... 
TRANSITION | CHAOS | MATHEMATICS, APPLIED | STATES | TRANSPORT | QUANTIFICATION | REVERSED SHEAR | PLOTS | SYSTEMS | PHYSICS, MATHEMATICAL
Journal Article
Physics Letters A, ISSN 0375-9601, 11/2015, Volume 379, Issue 43-44, pp. 2830 - 2838
•We studied a dissipative bouncing ball dynamics.•A two-dimensional nonlinear mapping describes the dynamics.•Crises between attractors and its manifolds were... 
DYNAMICAL PROPERTIES | SYSTEM | FERMI ACCELERATOR MODEL | PHYSICS, MULTIDISCIPLINARY | PERIODIC ATTRACTORS | RESTITUTION | STATISTICAL PROPERTIES | SINUSOIDALLY VIBRATING TABLE | SUPPRESSION | CHAOTIC ATTRACTORS | MAP | Physics - Chaotic Dynamics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2012, Volume 86, Issue 3, p. 036203
Some phase space transport properties for a conservative bouncer model are studied. The dynamics of the model is described by using a two-dimensional measure... 
CHAOS | TRANSPORT | BILLIARDS | TORI | PHYSICS, FLUIDS & PLASMAS | HAMILTONIAN-SYSTEMS | TIME | PHYSICS, MATHEMATICAL | FLOW | Models, Theoretical | Energy Transfer | Acceleration | Nonlinear Dynamics | Computer Simulation | Physics - Chaotic Dynamics
Journal Article
Chaos, ISSN 1054-1500, 04/2019, Volume 29, Issue 4
In Hamiltonian systems, depending on the control parameter, orbits can stay for very long times around islands, the so-called stickiness effect caused by a... 
Divergence | Parameters | Chaos theory | Identification methods | Orbits | Hamiltonian functions | Nonlinear systems | Rotation
Journal Article
Brazilian Journal of Physics, ISSN 0103-9733, 8/2018, Volume 48, Issue 4, pp. 426 - 432
In certain circumstances, plasma response suppresses magnetic islands expected at perturbed resonant magnetic surfaces. We investigate the plasma response to... 
Tokamak | Resonant magnetic perturbation (RMP) | Plasma response | Physics, general | Physics | PHYSICS, MULTIDISCIPLINARY | MAGNETIC PERTURBATIONS | DYNAMIC ERGODIC DIVERTOR | TEXTOR
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 02/2018, Volume 55, pp. 225 - 236
We study the dynamics of an ensemble of non interacting particles constrained by two infinitely heavy walls, where one of them is moving periodically in time,... 
Chaos | Stickiness influence | Anomalous transport and diffusion | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ACCELERATOR | PHYSICS, FLUIDS & PLASMAS | SYSTEMS | PHYSICS, MATHEMATICAL | BOUNCING BALL MODEL
Journal Article
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