Global invariant manifolds in the transition to preturbulence in the Lorenz system
From MaRDI portal
Publication:652423
DOI10.1016/j.indag.2011.10.007zbMath1246.37037OpenAlexW2118884582WikidataQ114476360 ScholiaQ114476360MaRDI QIDQ652423
Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel
Publication date: 14 December 2011
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.indag.2011.10.007
Dynamics induced by flows and semiflows (37C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Invariant manifold theory for dynamical systems (37D10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system, Global organization of phase space in the transition to chaos in the Lorenz system, From wild Lorenz-like to wild Rovella-like dynamics, Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit, On the Classical Lorenz System, High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps, Finding First Foliation Tangencies in the Lorenz System, Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system, Superluminal periodic orbits in the Lorenz system, A Conley index study of the evolution of the Lorenz strange set, Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps, Global invariant manifolds near a Shilnikov homoclinic bifurcation, Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems, Chaos in the Periodically Parametrically Excited Lorenz System, Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \), BIFURCATION OF ONE-PARAMETER PERIODIC ORBITS OF THREE-DIMENSIONAL DIFFERENTIAL SYSTEMS, Chaos and Wild Chaos in Lorenz-Type Systems, Bifurcation Analysis of the Yamada Model for a Pulsing Semiconductor Laser with Saturable Absorber and Delayed Optical Feedback
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local and global behavior near homoclinic orbits
- Structural stability of Lorenz attractors
- Preturbulence: A regime observed in a fluid flow model of Lorenz
- The structure of Lorenz attractors
- A computer proof that the Lorenz equations have ``chaotic solutions
- Lorenz equations. II: Randomly rotated homoclinic orbits and chaotic trajectories
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Computer assisted proof of chaos in the Lorenz equations
- Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields
- On the nature of turbulence
- Dynamical systems and chaos
- Global bifurcations of the Lorenz manifold
- Dynamics at infinity and the existence of singularly degenerate heteroclinic cycles in the Lorenz system
- On compact spaces which are locally Cantor bundles
- A shooting approach to the Lorenz equations
- The topological classification of Lorenz attractors
- The Lorenz attractor exists
- Knaster-like continua and complex dynamics
- Existence of a Homoclinic Orbit of the Lorenz System by Precise Shooting
- Chaos in the Lorenz equations: a computer-assisted proof
- Chaos in the Lorenz equations: A computer assisted proof. Part II: Details
- Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields
- The Lorenz System: II. The Homoclinic Convolution of the Stable Manifolds
- The Lorenz System: I. The Global Structure of its Stable Manifolds
- Deterministic Nonperiodic Flow
- Global aspects of homoclinic bifurcations of vector fields
- Lorenz Equations Part I: Existence and Nonexistence of Homoclinic Orbits
- A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
- Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values
- What's new on Lorenz strange attractors?