Global structure of regular tori in a generic 4D symplectic map (Q2821581)

scientific article; zbMATH DE number 6629110

Language	Label	Description	Also known as
English	Global structure of regular tori in a generic 4D symplectic map	scientific article; zbMATH DE number 6629110

Statements

instance of

scholarly article

0 references

title

Global structure of regular tori in a generic 4D symplectic map (English)

0 references

publication date

21 September 2016

0 references

full work available at URL

https://arxiv.org/abs/1311.7632

0 references

MaRDI profile type

Publication

0 references

cites work

Regular and chaotic dynamics.

0 references

Q3817673

0 references

Stable classical configurations in strongly driven helium.

0 references

Wigner's dynamical transition state theory in phase space: classical and quantum

0 references

On the conservation of hyperbolic invariant tori for Hamiltonian systems

0 references

Generalized implicit function theorems with applications to some small divisor problems, II

0 references

On elliptic lower dimensional tori in Hamiltonian systems

0 references

On the persistence of lower dimensional invariant tori under quasi-periodic perturbations

0 references

Q5508817

0 references

Q4735812

0 references

Q4240827

0 references

On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems

0 references

Invariant curves near Hamiltonian–Hopf bifurcations of four-dimensional symplectic maps

0 references

KAM tori: persistence and smoothness

0 references

Q4408013

0 references

A KAM theorem without action-angle variables for elliptic lower dimensional tori

0 references

Q3675576

0 references

Resonant collisions in four-dimensional reversible maps: a description of scenarios

0 references

Superexponential stability of KAM tori.

0 references

Stickiness in mushroom billiards

0 references

Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems

0 references

Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics

0 references

Frequency analysis for multi-dimensional systems. Global dynamics and diffusion

0 references

Q5640778

0 references

USING COLOR AND ROTATION FOR VISUALIZING FOUR-DIMENSIONAL POINCARÉ CROSS-SECTIONS: WITH APPLICATIONS TO THE ORBITAL BEHAVIOR OF A THREE-DIMENSIONAL HAMILTONIAN SYSTEM

0 references

THE STRUCTURE OF INVARIANT TORI IN A 3D GALACTIC POTENTIAL

0 references

Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.

0 references

On invariant tori of reversible systems in the neighbourhood of an equilibrium position

0 references

Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m

0 references

Twist singularities for symplectic maps

0 references

Numerical computation of the normal behaviour of invariant curves of \(n\)-dimensional maps

0 references

Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations

0 references

Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach

0 references

Periodic orbits for reversible, symplectic mappings

0 references

Q4251253

0 references

On the vertical families of two-dimensional tori near the triangular points of the bicircular problem

0 references

Continuation of Quasi-periodic Invariant Tori

0 references

A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity

0 references

A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems

0 references

Computation of whiskered invariant tori and their associated manifolds: new fast algorithms

0 references

PERIODIC ORBITS AND INVARIANT SURFACES OF 4D NONLINEAR MAPPINGS

0 references

Local analysis of formal stability and existence of fixed points in 4d symplectic mappings

0 references

Dynamics of 4D symplectic maps near a double resonance

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Identifiers

zbMATH Open document ID

1345.37057

0 references

DOI

10.1063/1.4882163

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2821581