Integrability and bifurcation of a three-dimensional circuit differential system
DOI10.3934/dcdsb.2021243OpenAlexW3211057574MaRDI QIDQ2090375
Yilei Tang, Valery G. Romanovski, Ling Zhang, Brigita Ferčec
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021243
Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Averaging method for ordinary differential equations (34C29) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Circuits in qualitative investigation and simulation of models (94C60)
Cites Work
- Unnamed Item
- The center problem on a center manifold in \(\mathbb{R}^{3}\)
- Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\)
- On the failure of the `similar piezoelectric control' in preventing loss of stability by nonconservative positional forces
- A hybrid symbolic-numerical approach to the center-focus problem
- Generalized rational first integrals of analytic differential systems
- Averaging methods for finding periodic orbits via Brouwer degree.
- Symbolic dynamics in nondifferentiable system originating in R-L-diode driven circuit
- In-band disruption of a nonlinear circuit using optimal forcing functions
- The generalized polynomial Moon-Rand system
- Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones
- Hidden attractor in smooth Chua systems
- Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces
- Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
- Isochronous solutions of a 3-dim symmetric quadratic system
- On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits
- Rigorous integration of smooth vector fields around spiral saddles with an application to the cubic Chua's attractor
- Local analytic first integrals of planar analytic differential systems
- Averaging methods of arbitrary order, periodic solutions and integrability
- Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
- Liouvillian First Integrals of Differential Equations
- On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations
- Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
- Global dynamics of a Wilson polynomial Liénard equation
- Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems
- Probleme General de la Stabilite du Mouvement. (AM-17)
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