CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION

DOI10.1142/S0218127403006789zbMath1056.37067OpenAlexW2042403685MaRDI QIDQ4653801

Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis

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/s0218127403006789

zbMATH Keywords

T-pointGlobal bifurcationsChua's equation

Mathematics Subject Classification ID

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

Related Items (8)

OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION ⋮ Using Lin's method to solve Bykov's problems ⋮ Analysis of the T-point-Hopf bifurcation in the Lorenz system ⋮ Homoclinic organization in the Hindmarsh–Rose model: A three parameter study ⋮ BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION ⋮ 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

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
• 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
• Successive homoclinic tangencies to a limit cycle
• LORENZ EQUATION AND CHUA’S EQUATION
• Isolas, cusps and global bifurcations in an electronic oscillator
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION
• TAKENS–BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL

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