Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps

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Related Items (4)

Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem ⋮ Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Barriers to transport and mixing in volume-preserving maps with nonzero flux

Uses Software

Matlab

Cites Work

Unnamed Item
The destruction of tori in volume-preserving maps
Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
Existence of invariant tori in three-dimensional measure-preserving mappings
Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions
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Anti-integrability in dynamical and variational problems
Greene's residue criterion for the breakup of invariant tori of volume-preserving maps
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Passive scalars, three-dimensional volume-preserving maps, and chaos
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Representation of volume-preserving maps induced by solenoidal vector fields
Chaotic streamlines in the ABC flows
Chaotic flows and fast magnetic dynamos
Existence of invariant tori in volume-preserving diffeomorphisms
Chaotic advection in three-dimensional unsteady incompressible laminar flow
Spectral Methods in MATLAB
A method for visualization of invariant sets of dynamical systems based on the ergodic partition
Thirty years of turnstiles and transport
A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification
A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity
Resonances and Twist in Volume-Preserving Mappings
On the Theory of Quasiperiodic Motions

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