Physica D: Nonlinear Phenomena, ISSN 0167-2789, 07/2015, Volume 308, pp. 34 - 39

Abstract We numerically explore Slater's theorem in the context of dynamical systems to study the breakup of invariant curves. Slater's theorem states that an...

Twist maps | Slater's theorem | Nontwist maps | Invariant curves | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | NONTWIST | MAPS | TORI | CIRCLES | KAM | MEANDERS | RENORMALIZATION

Twist maps | Slater's theorem | Nontwist maps | Invariant curves | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | NONTWIST | MAPS | TORI | CIRCLES | KAM | MEANDERS | RENORMALIZATION

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 07/2015, Volume 308, pp. 34 - 39

We numerically explore Slater’s theorem in the context of dynamical systems to study the breakup of invariant curves. Slater’s theorem states that an...

Twist maps | Nontwist maps | Slater’s theorem | Invariant curves

Twist maps | Nontwist maps | Slater’s theorem | Invariant curves

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2015, Volume 440, pp. 42 - 48

We present a new kind of one-dimensional attractor, which has not yet been predicted in the non-linear dynamics theory. We consider a non-linear map, which...

Shrimps | New attractor | Shearless | Indicator points | Non-twist map | NONTWIST | TRANSITION | TRANSPORT | MAPS | PHYSICS, MULTIDISCIPLINARY | RECONNECTION

Shrimps | New attractor | Shearless | Indicator points | Non-twist map | NONTWIST | TRANSITION | TRANSPORT | MAPS | PHYSICS, MULTIDISCIPLINARY | RECONNECTION

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2013, Volume 87, Issue 6, p. 063106

A study of anisotropic heat transport in reversed shear (nonmonotonic q-profile) magnetic fields is presented. The approach is based on a recently proposed...

TRANSITION | PERIODIC-ORBITS | CHAOS | PHYSICS, FLUIDS & PLASMAS | HAMILTONIAN-SYSTEMS | RECONNECTION | PRESERVING NONTWIST MAPS | PHYSICS, MATHEMATICAL | LINES

TRANSITION | PERIODIC-ORBITS | CHAOS | PHYSICS, FLUIDS & PLASMAS | HAMILTONIAN-SYSTEMS | RECONNECTION | PRESERVING NONTWIST MAPS | PHYSICS, MATHEMATICAL | LINES

Journal Article

Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 10/2016, Volume 91, pp. 128 - 135

The aim of the paper is to study systems with one-and-a-half degrees of freedom generated by a Hamiltonian with a quartic unperturbed part and broad...

Hamiltonian systems | Reconnection bifurcation | Nontwist maps | MAGNETIC-FIELD LINES | PHYSICS, MULTIDISCIPLINARY | TRANSPORT BARRIERS | RECONNECTION | MODEL | PHYSICS, MATHEMATICAL | TRANSITION | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SYMMETRY | STOCHASTICITY | DYNAMICS | TOKAMAK

Hamiltonian systems | Reconnection bifurcation | Nontwist maps | MAGNETIC-FIELD LINES | PHYSICS, MULTIDISCIPLINARY | TRANSPORT BARRIERS | RECONNECTION | MODEL | PHYSICS, MATHEMATICAL | TRANSITION | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SYMMETRY | STOCHASTICITY | DYNAMICS | TOKAMAK

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 06/2014, Volume 278-279, pp. 44 - 57

We develop a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps...

Shearless transport barriers | Mixing | Lagrangian coherent structures | Invariant tori | Dynamical systems | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | CHAOTIC TRANSPORT | PHYSICS, MATHEMATICAL | NONTWIST | TRANSITION | TORI | Algorithms | Tensors | Maps | Two-dimensional flow | Mathematical analysis | Barriers | Unsteady | Transport

Shearless transport barriers | Mixing | Lagrangian coherent structures | Invariant tori | Dynamical systems | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | CHAOTIC TRANSPORT | PHYSICS, MATHEMATICAL | NONTWIST | TRANSITION | TORI | Algorithms | Tensors | Maps | Two-dimensional flow | Mathematical analysis | Barriers | Unsteady | Transport

Journal Article

Physics of Plasmas, ISSN 1070-664X, 07/2016, Volume 23, Issue 7, p. 72506

We present a numerical study of charged particle motion in a time-independent magnetic field in cylindrical geometry. The magnetic field model consists of an...

TRANSITION | CHAOS | SEPARATRIX | TRANSPORT | PHYSICS, FLUIDS & PLASMAS | GUIDING-CENTER MOTION | ADIABATIC-INVARIANT | SYSTEMS | PRESERVING NONTWIST MAPS | PHYSICS | Chaotic Dynamics | Nonlinear Sciences | internal transport barrier | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | magnetic fields | chaos | particle orbits | particle trajectory

TRANSITION | CHAOS | SEPARATRIX | TRANSPORT | PHYSICS, FLUIDS & PLASMAS | GUIDING-CENTER MOTION | ADIABATIC-INVARIANT | SYSTEMS | PRESERVING NONTWIST MAPS | PHYSICS | Chaotic Dynamics | Nonlinear Sciences | internal transport barrier | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | magnetic fields | chaos | particle orbits | particle trajectory

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 12/2018, Volume 38, Issue 12, pp. 6215 - 6239

Dynamical systems appear in many models in all sciences and in technology. They can be either discrete or continuous, finite or in finite dimensional,...

Effective stability | Quantitative estimates of diffusion | Relation with arithmetic properties | Strange attractors | Gevrey class properties | Nontwist conditions | Open problems | Breakdown of tori | Regularity of manifolds | Of collisions | open problems | PARTIAL JUSTIFICATION | MATHEMATICS, APPLIED | nontwist conditions | SADDLE-NODE BIFURCATION | SIMULTANEOUS BINARY COLLISIONS | QUASI-PERIODIC MAPS | strange attractors | DIMENSIONAL INVARIANT-MANIFOLDS | regularity of manifolds and of collisions | MATHEMATICS | ELLIPTIC EQUILIBRIUM-POINT | ARNOLD DIFFUSION | HAMILTONIAN-SYSTEMS | PARAMETERIZATION METHOD | relation with arithmetic properties | quantitative estimates of diffusion | effective stability | FIXED-POINTS

Effective stability | Quantitative estimates of diffusion | Relation with arithmetic properties | Strange attractors | Gevrey class properties | Nontwist conditions | Open problems | Breakdown of tori | Regularity of manifolds | Of collisions | open problems | PARTIAL JUSTIFICATION | MATHEMATICS, APPLIED | nontwist conditions | SADDLE-NODE BIFURCATION | SIMULTANEOUS BINARY COLLISIONS | QUASI-PERIODIC MAPS | strange attractors | DIMENSIONAL INVARIANT-MANIFOLDS | regularity of manifolds and of collisions | MATHEMATICS | ELLIPTIC EQUILIBRIUM-POINT | ARNOLD DIFFUSION | HAMILTONIAN-SYSTEMS | PARAMETERIZATION METHOD | relation with arithmetic properties | quantitative estimates of diffusion | effective stability | FIXED-POINTS

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2009, Volume 79, Issue 5, p. 056215

Cross-jet transport of passive scalars in a kinematic model of the meandering laminar two-dimensional incompressible flow which is known to produce chaotic...

chaos | PHYSICS, FLUIDS & PLASMAS | SHEAR-FLOW | RECONNECTION | laminar flow | PRESERVING NONTWIST MAPS | jets | MODEL | PHYSICS, MATHEMATICAL | transport processes | CHAOTIC ADVECTION | TRANSITION | bifurcation | FLUID EXCHANGE | DYNAMICS | SYSTEMS | ROSSBY WAVES

chaos | PHYSICS, FLUIDS & PLASMAS | SHEAR-FLOW | RECONNECTION | laminar flow | PRESERVING NONTWIST MAPS | jets | MODEL | PHYSICS, MATHEMATICAL | transport processes | CHAOTIC ADVECTION | TRANSITION | bifurcation | FLUID EXCHANGE | DYNAMICS | SYSTEMS | ROSSBY WAVES

Journal Article

10.
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Greene's residue criterion for the breakup of invariant tori of volume-preserving maps

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 01/2013, Volume 243, Issue 1, pp. 45 - 63

Invariant tori play a fundamental role in the dynamics of symplectic and volume-preserving maps. Codimension-one tori are particularly important as they form...

Spiral mean | Three dimensional, volume-preserving maps | Transport barriers | Quasiperiodic orbits | KAM theory | PARTIAL JUSTIFICATION | SYMPLECTIC MAPS | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | TIME-REVERSAL SYMMETRY | MULTIDIMENSIONAL CONTINUED FRACTIONS | PERIODIC-ORBITS | DYNAMICAL-SYSTEMS | HAMILTONIAN-SYSTEMS | MAPPINGS | NONTWIST MAPS | Residues | Maps | Destruction | Mathematical analysis | Orbits | Criteria | Invariants | Three dimensional

Spiral mean | Three dimensional, volume-preserving maps | Transport barriers | Quasiperiodic orbits | KAM theory | PARTIAL JUSTIFICATION | SYMPLECTIC MAPS | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | TIME-REVERSAL SYMMETRY | MULTIDIMENSIONAL CONTINUED FRACTIONS | PERIODIC-ORBITS | DYNAMICAL-SYSTEMS | HAMILTONIAN-SYSTEMS | MAPPINGS | NONTWIST MAPS | Residues | Maps | Destruction | Mathematical analysis | Orbits | Criteria | Invariants | Three dimensional

Journal Article

Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 03/2010, Volume 20, Issue 1, pp. 017514 - 017514-13

The term “Lagrangian coherent structure” (LCS) is normally used to describe numerically detected structures whose properties are similar to those of stable and...

ZONAL JETS | flow simulation | MATHEMATICS, APPLIED | chaos | MIDDLE ATMOSPHERE | STABILITY | jets | PHYSICS, MATHEMATICAL | TRANSPORT | 2-DIMENSIONAL TURBULENCE | geophysical fluid dynamics | DYNAMICS | SYSTEMS | FLORIDA | atmospheric movements | stratosphere | NONTWIST MAPS | confined flow | Models, Theoretical | Motion | Algorithms | Time Factors | Geology - methods | Models, Statistical | Physics - methods

ZONAL JETS | flow simulation | MATHEMATICS, APPLIED | chaos | MIDDLE ATMOSPHERE | STABILITY | jets | PHYSICS, MATHEMATICAL | TRANSPORT | 2-DIMENSIONAL TURBULENCE | geophysical fluid dynamics | DYNAMICS | SYSTEMS | FLORIDA | atmospheric movements | stratosphere | NONTWIST MAPS | confined flow | Models, Theoretical | Motion | Algorithms | Time Factors | Geology - methods | Models, Statistical | Physics - methods

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2012, Volume 17, Issue 5, pp. 2021 - 2030

► Magnetic field line mappings in tokamaks. ► Nontwist symplectic maps. ► Internal transport barriers in tokamaks. We review symplectic nontwist maps that we...

Symplectic maps | Nontwist systems | Tokamaks | MATHEMATICS, APPLIED | MAGNETIC-FIELD LINES | PHYSICS, FLUIDS & PLASMAS | BARRIER | PLASMAS | PHYSICS, MATHEMATICAL | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | OPERATION | Magnetic fields

Symplectic maps | Nontwist systems | Tokamaks | MATHEMATICS, APPLIED | MAGNETIC-FIELD LINES | PHYSICS, FLUIDS & PLASMAS | BARRIER | PLASMAS | PHYSICS, MATHEMATICAL | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | OPERATION | Magnetic fields

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2014, Volume 19, Issue 4, pp. 1004 - 1026

•Invariant rotational circles of generalized standard maps are computed.•A quasi-Newton scheme is employed to numerically compute the conjugacy of a...

Aubry–Mather theory | Standard map | Transport barriers | Anti-integrability | KAM theory | Aubry-Mather theory | PARTIAL JUSTIFICATION | SYMPLECTIC MAPS | MATHEMATICS, APPLIED | TWIST MAPS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | TIME-REVERSAL SYMMETRY | TRANSITION | PERIODIC-ORBITS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | HAMILTONIAN-SYSTEMS | AREA-PRESERVING MAPS | NONTWIST MAPS | Nonlinear dynamics | Algebra | Maps | Mathematical models | Derivatives | Maxima | Invariants | Standards | Position (location) | Physics - Chaotic Dynamics

Aubry–Mather theory | Standard map | Transport barriers | Anti-integrability | KAM theory | Aubry-Mather theory | PARTIAL JUSTIFICATION | SYMPLECTIC MAPS | MATHEMATICS, APPLIED | TWIST MAPS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | TIME-REVERSAL SYMMETRY | TRANSITION | PERIODIC-ORBITS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | HAMILTONIAN-SYSTEMS | AREA-PRESERVING MAPS | NONTWIST MAPS | Nonlinear dynamics | Algebra | Maps | Mathematical models | Derivatives | Maxima | Invariants | Standards | Position (location) | Physics - Chaotic Dynamics

Journal Article

14.
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Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map

Physics Letters A, ISSN 0375-9601, 03/2013, Volume 377, Issue 8, pp. 622 - 627

The breakup of shearless invariant tori with winding number ω=(5−1)/2 (inverse golden mean) is studied using Greeneʼs residue criterion in the recently derived...

Area-preserving nontwist maps | Greeneʼs residue criterion | Renormalization in dynamical systems | Hamiltonian chaos | Greene's residue criterion | PHYSICS, MULTIDISCIPLINARY | INVARIANT CIRCLES | TRANSITION | CHAOS | TRANSPORT | SYMMETRY | OPERATOR | AREA-PRESERVING MAPS | RENORMALIZATION

Area-preserving nontwist maps | Greeneʼs residue criterion | Renormalization in dynamical systems | Hamiltonian chaos | Greene's residue criterion | PHYSICS, MULTIDISCIPLINARY | INVARIANT CIRCLES | TRANSITION | CHAOS | TRANSPORT | SYMMETRY | OPERATOR | AREA-PRESERVING MAPS | RENORMALIZATION

Journal Article

European Physical Journal: Special Topics, ISSN 1951-6355, 2008, Volume 165, Issue 1, pp. 195 - 210

The magnetic field line structure in a tokamak can be obtained by direct numerical integration of the field line equations. However, this is a lengthy...

STANDARD NONTWIST MAP | TWIST MAPS | PHYSICS, MULTIDISCIPLINARY | TOROIDAL GEOMETRY | HAMILTONIAN-SYSTEMS | DYNAMICS | INTERNAL TRANSPORT BARRIERS | REVERSED SHEAR | DIFFUSION | MANIFOLD RECONNECTION | NULL DIVERTOR TOKAMAKS

STANDARD NONTWIST MAP | TWIST MAPS | PHYSICS, MULTIDISCIPLINARY | TOROIDAL GEOMETRY | HAMILTONIAN-SYSTEMS | DYNAMICS | INTERNAL TRANSPORT BARRIERS | REVERSED SHEAR | DIFFUSION | MANIFOLD RECONNECTION | NULL DIVERTOR TOKAMAKS

Journal Article

Physics of Plasmas, ISSN 1070-664X, 11/2008, Volume 15, Issue 11, p. 112304

Investigations of chaotic particle transport by drift waves propagating in the edge plasma of tokamaks with poloidal zonal flow are described. For large aspect...

TCABR TOKAMAK | SCRAPE-OFF LAYER | chaos | MAGNETIC SURFACES | PHYSICS, FLUIDS & PLASMAS | plasma toroidal confinement | FUSION PLASMAS | Tokamak devices | PRESERVING NONTWIST MAPS | discharges (electric) | EDGE PLASMA | convection | POLOIDAL ROTATION | plasma drift waves | shear turbulence | plasma flow | plasma transport processes | plasma nonlinear waves | VELOCITY-SHEAR | RADIAL ELECTRIC-FIELDS | TURBULENCE | plasma turbulence | TOKAMAK DEVICES | SHEAR | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY | PLASMA DRIFT | WAVE PROPAGATION | PLASMA WAVES | ASPECT RATIO

TCABR TOKAMAK | SCRAPE-OFF LAYER | chaos | MAGNETIC SURFACES | PHYSICS, FLUIDS & PLASMAS | plasma toroidal confinement | FUSION PLASMAS | Tokamak devices | PRESERVING NONTWIST MAPS | discharges (electric) | EDGE PLASMA | convection | POLOIDAL ROTATION | plasma drift waves | shear turbulence | plasma flow | plasma transport processes | plasma nonlinear waves | VELOCITY-SHEAR | RADIAL ELECTRIC-FIELDS | TURBULENCE | plasma turbulence | TOKAMAK DEVICES | SHEAR | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY | PLASMA DRIFT | WAVE PROPAGATION | PLASMA WAVES | ASPECT RATIO

Journal Article

Nuclear Fusion, ISSN 0029-5515, 05/2012, Volume 52, Issue 5, pp. 54006 - 6

Using Hamiltonian models for the magnetic field lines, we propose a methodology to improve their confinement through the creation of transport barriers. A...

NONTWIST MAP | CHAOS | PHYSICS, FLUIDS & PLASMAS | ELECTRON-TRANSPORT | Nuclear safety | Confinement | Shear | Nuclear engineering | Tokamak devices | Plasmas | Magnetic fields | Optimization | Plasma Physics | Physics

NONTWIST MAP | CHAOS | PHYSICS, FLUIDS & PLASMAS | ELECTRON-TRANSPORT | Nuclear safety | Confinement | Shear | Nuclear engineering | Tokamak devices | Plasmas | Magnetic fields | Optimization | Plasma Physics | Physics

Journal Article

Physics of Plasmas, ISSN 1070-664X, 09/2008, Volume 15, Issue 9, p. 92310

The existence of a reversed magnetic shear in tokamaks improves the plasma confinement through the formation of internal transport barriers that reduce radial...

POLOIDAL DIVERTOR | TRANSPORT | PLASMA | STOCHASTIC BOUNDARIES | PHYSICS, FLUIDS & PLASMAS | HOMOCLINIC TANGLES | TORE-SUPRA | HAMILTONIAN-DYNAMICS | PRESERVING NONTWIST MAPS | ENHANCED CONFINEMENT | TEXTOR | MAGNETIC FIELDS | TOKAMAK DEVICES | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY | MAGNETIC SURFACES | REVERSED SHEAR | LIMITERS | WALL EFFECTS | CHAOS THEORY | PLASMA CONFINEMENT

POLOIDAL DIVERTOR | TRANSPORT | PLASMA | STOCHASTIC BOUNDARIES | PHYSICS, FLUIDS & PLASMAS | HOMOCLINIC TANGLES | TORE-SUPRA | HAMILTONIAN-DYNAMICS | PRESERVING NONTWIST MAPS | ENHANCED CONFINEMENT | TEXTOR | MAGNETIC FIELDS | TOKAMAK DEVICES | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY | MAGNETIC SURFACES | REVERSED SHEAR | LIMITERS | WALL EFFECTS | CHAOS THEORY | PLASMA CONFINEMENT

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2012, Volume 17, Issue 5, pp. 2031 - 2044

► Finite Larmor radius (FLR) effects on chaotic transport in plasmas are studied. ► FLR is incorporated through a gyroaverage of the guiding center orbits. ►...

Plasma physics | Nontwist systems | Hamiltonian chaos | MATHEMATICS, APPLIED | TWIST MAPS | MAGNETIC ISLANDS | PHYSICS, FLUIDS & PLASMAS | FIELD | TEST-PARTICLE-TRANSPORT | REVERSED SHEAR | MODEL | PHYSICS, MATHEMATICAL | TRANSITION | PERIODIC-ORBITS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYSTEMS | TURBULENCE | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | TRANSPORT | DIPOLES | HAMILTONIANS | ELECTROSTATICS | BIFURCATION | TEST PARTICLES | LARMOR RADIUS

Plasma physics | Nontwist systems | Hamiltonian chaos | MATHEMATICS, APPLIED | TWIST MAPS | MAGNETIC ISLANDS | PHYSICS, FLUIDS & PLASMAS | FIELD | TEST-PARTICLE-TRANSPORT | REVERSED SHEAR | MODEL | PHYSICS, MATHEMATICAL | TRANSITION | PERIODIC-ORBITS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYSTEMS | TURBULENCE | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | TRANSPORT | DIPOLES | HAMILTONIANS | ELECTROSTATICS | BIFURCATION | TEST PARTICLES | LARMOR RADIUS

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2012, Volume 17, Issue 5, pp. 2215 - 2222

► We study the breakup of invariant tori in cubic and quartic nontwist maps. ► Noble and non-noble invariant tori are studied using Greene’s residue criterion....

Area-preserving nontwist maps | Greene’s residue criterion | Renormalization in dynamical systems | Hamiltonian chaos | Greene's residue criterion | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | TRANSITION | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYMMETRY | AREA-PRESERVING MAPS | CHAINS | RENORMALIZATION

Area-preserving nontwist maps | Greene’s residue criterion | Renormalization in dynamical systems | Hamiltonian chaos | Greene's residue criterion | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | TRANSITION | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYMMETRY | AREA-PRESERVING MAPS | CHAINS | RENORMALIZATION

Journal Article