On the dynamics of a model with coexistence of three attractors: a point, a periodic orbit and a strange attractor

DOI10.1007/s11040-017-9240-6zbMath1413.37024OpenAlexW2592279130MaRDI QIDQ1663496

Jaume Llibre, Claudia Valls

Publication date: 21 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/182494

zbMATH Keywords

Darboux integrabilitychaotic systemPoincaré compactification

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• Synchronization and circuit simulation of a new double-wing chaos
• Complex dynamics in the stretch-twist-fold flow
• A new hyperchaotic system from the Lü system and its control
• Nonlinear analysis in a Lorenz-like system
• Bifurcation analysis of a new Lorenz-like chaotic system
• Multiplicity of invariant algebraic curves in polynomial vector fields
• A hyperchaotic system from the Rabinovich system
• Existence of attractor and control of a 3D differential system
• Controlling the diffusionless Lorenz equations with periodic parametric perturbation
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• The diffusionless Lorenz equations; Shil'nikov bifurcations and reduction to an explicit map
• Simplest dissipative chaotic flow.
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• An equation for continuous chaos
• Qualitative theory of planar differential systems
• Bounded Polynomial Vector Fields
• A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• A NEW CHAOTIC ATTRACTOR COINED
• Degenerate Hopf bifurcations, hidden attractors, and control in the extended Sprott E system with only one stable equilibrium

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