SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY

DOI10.1142/S0218127403006741zbMath1083.93020MaRDI QIDQ4653800

Antonio Algaba, Estanislao Gamero, Manuel Merino, Emilio Freire, Alejandro J. Rodríguez-Luis

Publication date: 8 March 2005

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

zbMATH Keywords

bifurcationsnonlinear feedbackquasiperiodic motionshomoclinic connectionstriple-zero degeneracyChua's equationcontrollable canonical form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear systems in control theory (93C10) Bifurcation theory for ordinary differential equations (34C23)

Related Items (22)

Nilpotent singularities and chaos: tritrophic food chains ⋮ HOPF BIFURCATIONS AND THEIR DEGENERACIES IN CHUA'S EQUATION ⋮ Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system ⋮ Extending the permissible control loop latency for the controlled inverted pendulum ⋮ Analysis of a Belyakov homoclinic connection with \(\mathbb Z_2\)-symmetry ⋮ OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION ⋮ COMPUTING TWO-DIMENSIONAL GLOBAL INVARIANT MANIFOLDS IN SLOW–FAST SYSTEMS ⋮ Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains ⋮ RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ Analysis of the T-point-Hopf bifurcation in the Lorenz system ⋮ Bogdanov–Takens and Triple Zero Bifurcations of Coupled van der Pol–Duffing Oscillators with Multiple Delays ⋮ Dynamical Analysis of Continuous Higher-Order Hopfield Networks for Combinatorial Optimization ⋮ HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION ⋮ Two-parameter bifurcations in a network of two neurons with multiple delays ⋮ CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION ⋮ BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION ⋮ On the representations and \(\mathbb{Z}_2\)-equivariant normal form for solenoidal Hopf-zero singularities ⋮ ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ₂-SYMMETRY: APPLICATION TO CHUA'S EQUATION ⋮ Global bifurcation analysis of a controlled underactuated mechanical system ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems ⋮ HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION

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