KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS

From MaRDI portal
Publication:4908754

DOI10.1142/S0218127412300169zbMath1258.37035arXiv1204.3278MaRDI QIDQ4908754

Roberto Barrio, Andrej L. Shil'nikov, L. P. Shil'nikov

Publication date: 6 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3278




Related Items (33)

On examples of pseudohyperbolic attractors in flows and mapsDouble-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz systemGlobal organization of phase space in the transition to chaos in the Lorenz systemOn the topology of the Lorenz systemCascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case StudyTopological classification of periodic orbits in the generalized Lorenz-type system with diverse symbolic dynamicsUsing Lin's method to solve Bykov's problemsVariety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon mapsFinding First Foliation Tangencies in the Lorenz SystemTakens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz systemSuperluminal periodic orbits in the Lorenz systemAnalysis of the T-point-Hopf bifurcation in the Lorenz systemStudy of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\)(INVITED) Homoclinic puzzles and chaos in a nonlinear laser modelStudy of the Hopf bifurcation in the Lorenz, Chen and Lü systemsUnnamed ItemExistence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetrySymbolic dynamics of Belykh-type mapsHomoclinic saddle to saddle-focus transitions in 4D systemsQualitative Upper and Lower Approximations of Complex Nonlinear Chaotic and Nonchaotic ModelsA novel hyperchaotic system with infinitely many heteroclinic orbits coinedHomoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetryTemplates of Two Foliated Attractors — Lorenz and Chen SystemsA Lorenz-type attractor in a piecewise-smooth system: Rigorous resultsSmale–Williams solenoids in autonomous system with saddle equilibriumWild pseudohyperbolic attractor in a four-dimensional Lorenz systemEntropy charts and bifurcations for Lorenz maps with infinite derivativesSliding homoclinic bifurcations in a Lorenz-type system: Analytic proofsLorenz attractors and the modular surface *Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systemsAn Economy Can Have a Lorenz-Type Chaotic AttractorEffect of anisotropies on the magnetization dynamics



Cites Work


This page was built for publication: KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS