BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION

DOI10.1142/S0218127404010072zbMath1129.37308OpenAlexW1985356785MaRDI QIDQ4655654

Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis, Emilio Freire

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/s0218127404010072

zbMATH Keywords

T-pointhomoclinicGlobal bifurcationsChua's equation

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (12)

Bifurcations Near the Weak Type Heterodimensional Cycle ⋮ Using Lin's method to solve Bykov's problems ⋮ Nongeneric bifurcations near a nontransversal heterodimensional cycle ⋮ Analysis of the T-point-Hopf bifurcation in the Lorenz system ⋮ Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ GLOBAL BIFURCATIONS NEAR A DEGENERATE HETERODIMENSIONAL CYCLE ⋮ Generic unfolding of a degenerate heterodimensional cycle ⋮ Analysis of the T-point-Hopf bifurcation ⋮ ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ₂-SYMMETRY: APPLICATION TO CHUA'S EQUATION ⋮ HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION ⋮ Shift dynamics near non-elementary T-points with real eigenvalues

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• T-points: A codimension two heteroclinic bifurcation
• The bifurcations of separatrix contours and chaos
• A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil'nikov
• Attractors in a Šil'nikov-Hopf scenario and a related one-dimensional map
• Shilnikov-Hopf bifurcation
• A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point
• T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis
• The non-transverse Shil'nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies
• Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations
• LORENZ EQUATION AND CHUA’S EQUATION
• SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
• CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION

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