Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\)
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Publication:2206573
DOI10.1016/j.cnsns.2019.05.005zbMath1458.76050OpenAlexW2943888718MaRDI QIDQ2206573
María C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis, Antonio Algaba
Publication date: 22 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.05.005
Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
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New insights on non-integrability and dynamics in a simple quadratic differential system ⋮ Computing connecting orbits to infinity associated with a homoclinic flip bifurcation
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Cites Work
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- Comment on ``Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
- Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems
- A global qualitative view of bifurcations and dynamics in the Rössler system
- Homoclinic twisting bifurcations and cusp horseshoe maps
- A three-parametric study of the Lorenz model
- Analysis of the T-point-Hopf bifurcation in the Lorenz system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the abundance of aperiodic behaviour for maps on the interval
- Universal properties of maps on an interval
- Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator
- A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil'nikov
- Constructing dynamical systems having homoclinic bifurcation points of codimension two
- Asymptotics of homoclinic bifurcation in a three-dimensional system
- Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
- An exact homoclinic orbit and its connection with the Rössler system
- The Lorenz equations: bifurcations, chaos, and strange attractors
- A bifurcation analysis of a simple electronic circuit
- Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation
- Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system
- Qualitative dynamical analysis of chaotic plasma perturbations model
- Centers on center manifolds in the Lorenz, Chen and Lü systems
- Steady-state, self-oscillating and chaotic behavior of a PID controlled nonlinear servomechanism by using Bogdanov-Takens and Andronov-Poincaré-Hopf bifurcations
- Bifurcations to \(N\)-homoclinic orbits and \(N\)-periodic orbits in vector fields
- An equation for continuous chaos
- Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria
- Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations
- BEHAVIOR PATTERNS IN MULTIPARAMETRIC DYNAMICAL SYSTEMS: LORENZ MODEL
- Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation
- AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR
- Global organization of phase space in the transition to chaos in the Lorenz system
- RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION
- The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
- NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
- A strange attractor in the unfolding of an orbit-flip homoclinic orbit
- Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study
- Deterministic Nonperiodic Flow
- HOMOCLINIC BRANCH SWITCHING: A NUMERICAL IMPLEMENTATION OF LIN'S METHOD
- Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetry
- Strange attractor in the unfolding of an inclination-flip homoclinic orbit
- A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
- ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE
- Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B
- Elements of applied bifurcation theory
- Resonant homoclinic flip bifurcations
- Homoclinic-doubling cascades.
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