The Topology of Chaos
From MaRDI portal
Publication:4781182
DOI10.1002/9783527617319zbMath1019.37016OpenAlexW4238086151MaRDI QIDQ4781182
Publication date: 11 November 2002
Full work available at URL: https://doi.org/10.1002/9783527617319
chaosperiodic orbitsstrange attractorsbifurcationstopological invariantsdiscrete dynamical systemscomputer programscomputational techniquescontinuous dynamical systemsbranched manifoldbasis set of orbitsGaussian linking numbersrelative rotation rates
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Smooth dynamical systems: general theory (37Cxx)
Related Items
Symmetry induced oscillations in four-dimensional models deriving from the van der Pol equation, Counter-Examples about Lower- and Upper-Bounded Population Growth, The study of discrete mappings in TQ-space. Basic principles, Fractional derivative reconstruction of forced oscillators, Dynamical analysis of an intermittency in an open cavity flow, MEASURING AND CONTROLLING THE CHAOTIC MOTION OF PROFITS, SIMPLIFIED TREATMENT OF TEMPLATES BOUNDED BY A GENUS-1 TORUS, Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor, Distance correlation detecting Lyapunov instabilities, noise-induced escape times and mixing, When Two Dual Chaotic Systems Shake Hands, Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus, Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study, Occurrence and underlying mechanism of multi-stripe chaotic attractors, The universal cardinal ordering of fixed points, Partitioning two-dimensional mixed phase spaces, Algorithms for concatenating templates, Dynamical analysis of fractional-order Rössler and modified Lorenz systems, Parameter estimation, nonlinearity, and Occam's razor, A Very Simple Method to Calculate the (Positive) Largest Lyapunov Exponent Using Interval Extensions, A generic method for constructing n-fold covers of 3D conservative chaotic systems, Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots, A chaotic model for the epidemic of Ebola virus disease in West Africa (2013–2016), On the topological structure of singular attractors of nonlinear systems of differential equations, Investigation of saddle-node and pitchfork bifurcations by Magnitskii's stabilization method, Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system, High-precision continuation of periodic orbits, How to identify a hyperbolic set as a blender, CHAOS SYNTHESIS BY MEANS OF EVOLUTIONARY ALGORITHMS, Entropy of bounding tori, Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks, Global models from the Canadian lynx cycles as a direct evidence for chaos in real ecosystems, GEOMETRY OF DYNAMICAL SYSTEMS AND TOPOLOGICAL STABILITY: FROM BIFURCATION, CHAOS AND FRACTALS TO DYNAMICS IN NATURAL AND LIFE SCIENCES, Synchronizability of nonidentical weakly dissipative systems, Chaos in ecology: The topological entropy of a tritrophic food chain model, A three-scroll chaotic attractor, Composition law of cardinal ordering permutations, Fractional derivatives applied to phase-space reconstructions, The Hide, Skeldon, Acheson dynamo revisited, What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems?, Chaos in Vallis' asymmetric Lorenz model for \textit{El Niño}, Explosions in Lorenz maps, Metrization of the T-alphabet: measuring the distance between multidimensional real discrete sequences, Templates of Two Foliated Attractors — Lorenz and Chen Systems, A cancer model for the angiogenic switch, Domain-Structured Chaos in a Hopfield Neural Network, Two-parameter families of strange attractors, A Bayesian nonparametric approach to the approximation of the global stable manifold, Globally enumerating unstable periodic orbits for observed data using symbolic dynamics, Average dynamics of a finite set of coupled phase oscillators, Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons, Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco, Fractional standard map, Modeling nonlinear dynamics and chaos: a review, Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic \(\beta \)-cells, Topology of dynamical reconstructions from Lagrangian data, DIMENSION REDUCTION FOR ANALYSIS OF UNSTABLE PERIODIC ORBITS USING LOCALLY LINEAR EMBEDDING, Thermodynamic processes expressed in terms of nonlinear maps, Quantifying chaos for ecological stoichiometry, Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \), Average dynamics of a driven set of globally coupled excitable units, Takens-type reconstruction theorems of one-sided dynamical systems