Computation of normal form and unfolding of codimension-3 zero-Hopf-Hopf bifurcation
DOI10.1142/s0218127424500639zbMATH Open1546.37077MaRDI QIDQ6538961
Qinsheng Bi, Xiaofang Zhang, Xin Xu
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems
- Existence of complex patterns in the Beddington-DeAngelis predator-prey model
- Analytical study of a triple Hopf bifurcation in a tritrophic food chain model
- Codimension-2 Bautin bifurcation in the Lü system
- Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Singularities and groups in bifurcation theory. Volume I
- Computation of normal forms
- Symbolic computation of normal forms for semi-simple cases
- Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications
- Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
- Realizability of the normal forms for the non-semisimple 1:1 resonant Hopf bifurcation in a vector field
- Hopf bifurcations in dynamical systems
- Normal forms of vector fields with perturbation parameters and their application
- Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations
- Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin
- AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION
- Progress in normal form theory
- The k-Zero Bifurcation Theorem for m-Parameterized Systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Computation of Normal Forms of Differential Equations Associated with Non-Semisimple Zero Eigenvalues
- Normal form and unfolding of vector field with codimension-3 triple Hopf bifurcation
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