Diffeomorphical equivalence vs topological equivalence among Sprott systems

DOI10.1063/5.0058330zbMATH Open1546.37031MaRDI QIDQ6556931

Christophe Letellier, Claudia Lainscsek, Eduardo M. A. M. Mendes

Publication date: 17 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

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• Knots and links in three-dimensional flows
• Explosions in Lorenz maps
• Discovering independent parameters in complex dynamical systems
• Elimination in control theory
• Inequivalent topologies of chaos in simple equations
• Topological analysis and synthesis of chaotic time series
• Chaos in abstract kinetics: Two prototypes
• A new class of minimal chaotic flows
• Simplest dissipative chaotic flow.
• Branched manifolds for the three types of unimodal maps
• Topology of dynamical reconstructions from Lagrangian data
• An equation for continuous chaos
• A class of Lorenz-like systems
• CHAOTIC AND NONCHAOTIC BEHAVIOR IN THREE-DIMENSIONAL QUADRATIC SYSTEMS: 5-1 DISSIPATIVE CASES
• Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry
• TOPOLOGICAL ANALYSIS OF CHAOS IN EQUIVARIANT ELECTRONIC CIRCUITS
• Topological analysis of chaotic dynamical systems
• A chaotic attractor from Chua's circuit
• Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models
• The double scroll
• Non-chaotic behaviour in three-dimensional quadratic systems
• Nonlinear controllability and observability
• Evolution of a multimodal map induced by an equivariant vector field
• Deterministic Nonperiodic Flow
• Simple polynomial classes of chaotic jerky dynamics

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