ON THE STRUCTURE OF THE SOLUTIONS OF A TWO-PARAMETER FAMILY OF THREE-DIMENSIONAL ORDINARY DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127403007229zbMath1056.37068OpenAlexW2042843041MaRDI QIDQ4653837

Serkan T. Impram, Raffaella Pavani, Russell A. Johnson

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127403007229

zbMATH Keywords

period-doublingHopf solutionsscroll structureThree-dimensional ordinary differential equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (3)

GENERAL SYNCHRONIZATION OF GENESIO–TESI SYSTEMS ⋮ ON THE ONSET OF QUASI-PERIODIC SOLUTIONS IN THIRD-ORDER NONLINEAR DYNAMICAL SYSTEMS ⋮ Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)

Cites Work

• Steady solutions of the Kuramoto-Sivashinsky equation
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• THE "COCOON" BIFURCATIONS IN THREE-DIMENSONAL SYSTEMS WITH TWO FIXED POINTS
• Unnamed Item

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