The Complex Lorenz Model: Geometric Structure, Homoclinic Bifurcation and One-Dimensional Map

DOI10.1142/S0218127498000516zbMath0938.34037OpenAlexW2023316825MaRDI QIDQ4936275

A. G. Vladimirov, Vladislav Yu. Toronov, V. L. Derbov

Publication date: 21 June 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498000516

zbMATH Keywords

attractorscodimension-two bifurcationLorenz-like attractorhomoclinic butterflycomplex Lorenz model

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Chaos synchronization of two different chaotic complex Chen and Lü systems ⋮ Complex projective synchronization in drive-response networks coupled with complex-variable chaotic systems ⋮ Complex projective synchronization in coupled chaotic complex dynamical systems ⋮ Continuous symmetry reduction and return maps for high-dimensional flows ⋮ On chaos synchronization of a complex two coupled dynamos system

Cites Work

• Deterministic Nonperiodic Flow

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