Multi-stability in symmetric systems

DOI10.1007/978-3-030-75821-9_12OpenAlexW4205660290MaRDI QIDQ2090197

Chunbiao Li, Julien Clinton Sprott

Publication date: 24 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-75821-9_12

zbMATH Keywords

multi-stabilitythree-dimensional dynamical system

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Dynamics induced by flows and semiflows (37C10) Global stability of solutions to ordinary differential equations (34D23) Stability theory for smooth dynamical systems (37C75)

Cites Work

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• Linearization of the Lorenz system
• The diffusionless Lorenz equations; Shil'nikov bifurcations and reduction to an explicit map
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• Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
• Deterministic Nonperiodic Flow
• Numerical proof for chemostat chaos of Shilnikov's type
• New Chaotic Regimes in the Lorenz and Chen Systems
• MULTISTABILITY IN A BUTTERFLY FLOW
• Simplest Chaotic Flows with Involutional Symmetries

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