4.7 Article

Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Multidisciplinary

Unpredictability in Hamiltonian systems with a hierarchical phase space

Matheus R. Sales et al.

Summary: This paper characterizes the boundary between chaos and regular motion in the phase space of a nonlinear Hamiltonian system. The study examines the phenomenon of stickiness, where chaotic orbits approaching stability islands are trapped in their vicinity for a long time, behaving similarly to quasiperiodic orbits. The boundary dimension of the islands is quantified using the uncertainty exponent, and it is found to depend on the scale of initial condition uncertainty and the hierarchical structure. The trapping near the islands obstructs the predictability of the final state of an orbit, resulting in larger dimensions at the inner levels of the islands.

PHYSICS LETTERS A (2022)

Article Physics, Multidisciplinary

Internal energy exchanges and chaotic dynamics in an intrinsically coupled system

M. C. De Sousa et al.

Summary: The energy exchanges in intrinsically coupled nonlinear systems are related to the chaotic nature of the systems. Analyzing the energy exchanges among different types of oscillations can distinguish regular orbits from chaotic orbits.

PHYSICS LETTERS A (2022)

Proceedings Paper Engineering, Electrical & Electronic

Trapping secondary electrons in ExB drift for an alpha generating penning ion source

N. Savard et al.

Summary: D-Pace has developed a Penning ion source test stand for characterizing alpha ion extraction from a helium discharge. The design includes solutions to address the severe sparking events on the high voltage insulator during ion extraction.

19TH INTERNATIONAL CONFERENCE ON ION SOURCES - ICIS2021 (2022)

Article Mathematics, Applied

Birkhoff averages and the breakdown of invariant tori in volume-preserving maps

J. D. Meiss et al.

Summary: This paper develops numerical methods based on weighted Birkhoff average for studying two-dimensional invariant tori for volume-preserving maps, allowing accurate computation of rotation vectors and distinguishing between chaotic and regular dynamics. The methods also compute critical parameter values where tori are destroyed effectively.

PHYSICA D-NONLINEAR PHENOMENA (2021)

Article Mathematics, Interdisciplinary Applications

Sticky islands in stochastic webs and anomalous chaotic cross-field particle transport by E ? B electron drift instability

D. Mandal et al.

Summary: The study investigates the impact of E×B electron drift instability on cross-field particle transport in plasma, revealing chaotic motion in phase space and anomalous super-diffusive transport.

CHAOS SOLITONS & FRACTALS (2021)

Article Physics, Fluids & Plasmas

Cross-field chaotic transport of electrons by E x B electron drift instability in Hall thruster

D. Mandal et al.

PHYSICS OF PLASMAS (2020)

Article Mathematics, Applied

Birkhoff averages and rotational invariant circles for area-preserving maps

E. Sander et al.

PHYSICA D-NONLINEAR PHENOMENA (2020)

Article Physics, Fluids & Plasmas

Influence of the radial electric field on the shearless transport barriers in tokamaks

F. A. Marcus et al.

PHYSICS OF PLASMAS (2019)

Article Mathematics, Applied

Super convergence of ergodic averages for quasiperiodic orbits

Suddhasattwa Das et al.

NONLINEARITY (2018)

Article Physics, Multidisciplinary

Internal transport barriers in plasmas with reversed plasma flow

R. M. Ferro et al.

PHYSICS LETTERS A (2018)

Article Mathematics, Applied

Efficient manifolds tracing for planar maps

David Ciro et al.

Article Physics, Multidisciplinary

Fractal structures in the chaotic motion of charged particles in a magnetized plasma under the influence of drift waves

A. C. Mathias et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2017)

Article Physics, Multidisciplinary

Measuring quasiperiodicity

Suddhasattwa Das et al.

Article Multidisciplinary Sciences

Basin entropy: a new tool to analyze uncertainty in dynamical systems

Alvar Daza et al.

SCIENTIFIC REPORTS (2016)

Article Multidisciplinary Sciences

Testing for Basins of Wada

Alvar Daza et al.

SCIENTIFIC REPORTS (2015)

Article Physics, Fluids & Plasmas

High-accuracy characterization of the edge radial electric field at ASDEX Upgrade

E. Viezzer et al.

NUCLEAR FUSION (2013)

Article Physics, Multidisciplinary

Leaking chaotic systems

Eduardo G. Altmann et al.

REVIEWS OF MODERN PHYSICS (2013)

Article Physics, Fluids & Plasmas

Random fluctuation leads to forbidden escape of particles

Christian S. Rodrigues et al.

PHYSICAL REVIEW E (2010)

Article Physics, Multidisciplinary

Noise-Enhanced Trapping in Chaotic Scattering

Eduardo G. Altmann et al.

PHYSICAL REVIEW LETTERS (2010)

Article Physics, Fluids & Plasmas

Effect of noise on chaotic scattering

Jesus M. Seoane et al.

PHYSICAL REVIEW E (2009)

Review Physics, Multidisciplinary

Fractal structures in nonlinear dynamics

Jacobo Aguirre et al.

REVIEWS OF MODERN PHYSICS (2009)

Article Physics, Fluids & Plasmas

Reduction of chaotic particle transport driven by drift waves in sheared flows

F. A. Marcus et al.

PHYSICS OF PLASMAS (2008)

Article Mathematics, Interdisciplinary Applications

Fractal and Wada exit basin boundaries in tokamaks

Jefferson S. E. Portela et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2007)

Article Physics, Fluids & Plasmas

Experimental and theoretical studies of cylindrical Hall thrusters

Artem Smirnov et al.

PHYSICS OF PLASMAS (2007)

Article Physics, Fluids & Plasmas

Traces of stable and unstable manifolds in heat flux patterns

A. Wingen et al.

PHYSICS OF PLASMAS (2007)

Article Physics, Fluids & Plasmas

Plasma confinement using biased electrode in the TCABR tokamak

IC Nascimento et al.

NUCLEAR FUSION (2005)

Article Physics, Fluids & Plasmas

Homoclinic tangles, bifurcations and edge stochasticity in diverted tokamaks

TE Evans et al.

CONTRIBUTIONS TO PLASMA PHYSICS (2004)

Article Astronomy & Astrophysics

Non-collisional cross-field diffusion of relativistic electrons

E Amato et al.

ASTRONOMY & ASTROPHYSICS (2003)

Article Physics, Fluids & Plasmas

The character of transport caused by E X B drift turbulence

B Scott

PHYSICS OF PLASMAS (2003)

Article Physics, Fluids & Plasmas

Escape patterns, magnetic footprints, and homoclinic tangles due to ergodic magnetic limiters

EC da Silva et al.

PHYSICS OF PLASMAS (2002)

Article Physics, Multidisciplinary

Fluctuations, sheared radial electric fields and transport interplay in fusion plasmas

C Hidalgo et al.

NEW JOURNAL OF PHYSICS (2002)

Article Physics, Fluids & Plasmas

Parametric investigations of a nonconventional Hall thruster

Y Raitses et al.

PHYSICS OF PLASMAS (2001)

Article Mathematics, Applied

Chaotic advection, diffusion, and reactions in open flows

T Tel et al.